Edit Profile (opens in new tab) Llibre, Jaume Co-Author Distance Author ID: llibre.jaume Published as: Llibre, Jaume; Llibre, J.; Llibre Saló, Jaume; Llimbre, Jaume; Llibre, James; LLibre, Jaume; Libre, Jaume more...less Further Spellings: Либре Х; Либре Жуам Homepage: http://www.gsd.uab.cat/personal/jllibre External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 1,189 Publications since 1976, including 13 Books and 13 Additional arXiv Preprints 14 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 335 Co-Authors with 1,156 Joint Publications 5,062 Co-Co-Authors all top 5 Co-Authors 43 single-authored 203 Valls Anglés, Cláudia 59 Giné, Jaume 47 Zhang, Xiang 43 Teixeira, Marco Antonio 40 Artés, Joan Carles 34 Corbera, Montserrat 26 García Guirao, Juan Luis 24 Pantazi, Chara 22 Vulpe, Nicolae I. 21 Novaes, Douglas Duarte 20 Alsedà, Lluís 20 Makhlouf, Amar 20 Ramírez, Rafael O. 19 Gasull, Armengol 18 Pérez-Chavela, Ernesto 17 Lacomba, Ernesto A. 17 Li, Weigu 16 Benterki, Rebiha 16 Buzzi, Claudio Aguinaldo 16 Schlomiuk, Dana I. 15 Da Silva, Paulo Ricardo 15 Li, Chengzhi 15 Oliveira, Regilene D. S. 14 Cairó, Laurent 14 Chavarriga, Javier 14 Ferragut, Antoni 14 Ginoux, Jean-Marc 14 Ponce, Enrique 14 Vidal, Claudio 13 García, Isaac A. 13 Giacomini, Hector J. 13 Medrado, João C. R. 13 Pérez del Río, Jesús S. 13 Sirvent, Víctor F. 12 Buică, Adriana 12 Cors, Josep Maria 12 Li, Shimin 12 Messias, Marcelo 12 Misiurewicz, Michał 11 Christopher, Colin J. 11 Grau, Maite 11 Mello, Luis Fernando O. 11 Ramírez, Valentín 11 Simó, Carles 11 Yu, Jiang 11 Zhang, Zhifen 10 Cima, Anna 10 Mancilla-Martínez, Y. Paulina 10 Rodríguez, José Angel 10 Walcher, Sebastian 9 Barreira, Luis Manuel 9 Coll, Bartomeu 9 García, Belén 9 Mahdi, Adam 9 Mereu, Ana Cristina 9 Sadovskaia, Natalia 9 Salhi, Tayeb 9 Torregrosa, Joan 8 Cândido, Murilo R. 8 Casasayas, Josefina 8 Chen, Ting 8 Delgado, Joaquín F. 8 Itikawa, Jackson 8 Sotomayor, Jorge 8 Tonon, Durval José 7 de Carvalho, Tiago 7 de Moraes, Jaime R. 7 Jarque, Xavier 7 Lopes, Bruno Domeniciano 7 Maza, Susanna 7 Pessoa, Claudio 7 Roberto, Luci Any F. 6 Colak, Ilker E. 6 Diz-Pita, Érika 6 Euzébio, Rodrigo D. 6 Falconi, Manuel J. 6 Li, Tao 6 Makhlouf, Ammar 6 Otero-Espinar, Maria Victoria 6 Rodrigues, Ana 6 Teruel, Antonio E. 6 Vera, Juan A. 6 Wu, Hao 5 Alvarez-Ramírez, Martha 5 Alvarez, Martha R. 5 Bolaños, Yudy 5 Braun, Francisco 5 Dias, Fabio Scalco 5 Gouveia, Márcio R. Alves 5 Jiménez-Lara, Lidia 5 Liu, Changjian 5 Makarenkov, Oleg Yuryĭovych 5 Paraños, José 5 Paşca, Daniel 5 Reventos, Agusti 5 Rodrigues, Camila Ap. B. 5 Silva Lima, Mauricio Firmino 5 Świrszcz, Grzegorz M. 5 Tian, Yuzhou 5 Viano, Mireille ...and 235 more Co-Authors all top 5 Serials 88 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 77 Journal of Differential Equations 36 Journal of Mathematical Analysis and Applications 36 Journal of Mathematical Physics 28 Qualitative Theory of Dynamical Systems 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Bulletin des Sciences Mathématiques 24 Discrete and Continuous Dynamical Systems. Series B 22 Chaos, Solitons and Fractals 22 Electronic Journal of Differential Equations (EJDE) 22 Nonlinear Dynamics 21 Celestial Mechanics and Dynamical Astronomy 20 Journal of Geometry and Physics 20 Rendiconti del Circolo Matemàtico di Palermo. Serie II 20 Journal of Dynamics and Differential Equations 20 Discrete and Continuous Dynamical Systems 19 Dynamical Systems 18 Nonlinearity 17 Applied Mathematics and Computation 17 Proceedings of the American Mathematical Society 16 Rocky Mountain Journal of Mathematics 14 Physica D 14 Journal of Nonlinear Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Pacific Journal of Mathematics 13 Journal of Difference Equations and Applications 11 Houston Journal of Mathematics 11 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 10 Applied Mathematics Letters 10 Publicacions Matemàtiques 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Nonlinear Analysis. Real World Applications 10 Advanced Nonlinear Studies 10 Journal of Physics A: Mathematical and Theoretical 9 Transactions of the American Mathematical Society 9 Journal of Physics A: Mathematical and General 9 Differential Equations and Dynamical Systems 9 Chaos 9 São Paulo Journal of Mathematical Sciences 8 Physics Letters. A 8 Journal of Computational and Applied Mathematics 8 Electronic Journal of Qualitative Theory of Differential Equations 7 Ergodic Theory and Dynamical Systems 7 Publicacions. Secciò de Matemàtiques 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Dynamical and Control Systems 6 Anais da Academia Brasileira de Ciências 6 Mathematics and Computers in Simulation 6 Journal of Nonlinear Science 6 Computational and Applied Mathematics 6 Buletinul Academiei de Științe a Republicii Moldova. Matematica 6 Mathematical Physics, Analysis and Geometry 6 Acta Mathematica Sinica. English Series 6 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 5 Mathematical Methods in the Applied Sciences 5 Advances in Mathematics 5 Topology and its Applications 5 Acta Applicandae Mathematicae 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Expositiones Mathematicae 5 Topological Methods in Nonlinear Analysis 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Mediterranean Journal of Mathematics 5 Journal of Applied Analysis and Computation 4 Archive for Rational Mechanics and Analysis 4 Canadian Mathematical Bulletin 4 Extracta Mathematicae 4 Celestial Mechanics 4 SIAM Journal on Mathematical Analysis 4 Bulletin of the Belgian Mathematical Society - Simon Stevin 4 Communications in Contemporary Mathematics 4 Communications on Pure and Applied Analysis 4 Advanced Series in Nonlinear Dynamics 4 Journal of Fixed Point Theory and Applications 4 Discrete and Continuous Dynamical Systems. Series S 4 Applied Mathematics and Nonlinear Sciences 3 Astrophysics and Space Science 3 Computers & Mathematics with Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Memoirs of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Results in Mathematics 3 Annals of Differential Equations 3 Communications on Applied Nonlinear Analysis 3 Dynamics of Continuous, Discrete and Impulsive Systems 3 Regular and Chaotic Dynamics 3 World Scientific Monograph Series in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applicable Analysis 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Fundamenta Mathematicae 2 Geometriae Dedicata 2 Indiana University Mathematics Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Topology 2 Radovi Matematički 2 Journal of Symbolic Computation ...and 76 more Serials all top 5 Fields 875 Ordinary differential equations (34-XX) 461 Dynamical systems and ergodic theory (37-XX) 182 Mechanics of particles and systems (70-XX) 49 Biology and other natural sciences (92-XX) 36 General topology (54-XX) 26 Operator theory (47-XX) 21 Relativity and gravitational theory (83-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Algebraic topology (55-XX) 14 General and overarching topics; collections (00-XX) 11 Partial differential equations (35-XX) 10 Algebraic geometry (14-XX) 10 Astronomy and astrophysics (85-XX) 9 Manifolds and cell complexes (57-XX) 8 Systems theory; control (93-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 977 Publications have been cited 11,551 times in 4,157 Documents Cited by ▼ Year ▼ Qualitative theory of planar differential systems. Zbl 1110.34002 Dumortier, Freddy; Llibre, Jaume; Artés, Joan C. 629 2006 Averaging methods for finding periodic orbits via Brouwer degree. Zbl 1055.34086 Buică, Adriana; Llibre, Jaume 194 2004 Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001 Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał 156 2000 Three nested limit cycles in discontinuous piecewise linear differential systems with two zones. Zbl 1268.34061 Llibre, Jaume; Ponce, Enrique 141 2012 Multiplicity of invariant algebraic curves in polynomial vector fields. Zbl 1160.34003 Christopher, Colin; Llibre, Jaume; Pereira, Jorge Vitório 132 2007 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087 Giacomini, H.; Llibre, J.; Viano, M. 109 1996 Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034 Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 93 1993 Averaging theory for discontinuous piecewise differential systems. Zbl 1347.37097 Llibre, Jaume; Mereu, Ana C.; Novaes, Douglas D. 90 2015 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 88 2014 On the integrability of two-dimensional flows. Zbl 0940.37005 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 86 1999 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 86 2015 On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. Zbl 1293.34047 Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique 83 2013 Bounded polynomial vector fields. Zbl 0695.34028 Cima, Anna; Llibre, Jaume 82 1990 Limit cycles for a class of Abel equations. Zbl 0732.34025 Gasull, A.; Llibre, J. 82 1990 Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036 Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume 79 2007 Integrability via invariant algebraic curves for planar polynomial differential systems. Zbl 0974.34005 Christopher, Colin; Llibre, Jaume 78 2000 Limit cycles for discontinuous quadratic differential systems with two zones. Zbl 1318.34049 Llibre, Jaume; Mereu, Ana C. 75 2014 The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems. Zbl 1111.34026 Giacomini, Hector; Giné, Jaume; Llibre, Jaume 74 2006 Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003 Llibre, Jaume; Zhang, Xiang 74 2009 Local analytic integrability for nilpotent centers. Zbl 1037.34025 Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 72 2003 Limit cycles of the generalized polynomial Liénard differential equations. Zbl 1198.34051 Llibre, Jaume; Mereu, Ana Cristina; Teixeira, Marco Antonio 69 2010 On the birth of limit cycles for non-smooth dynamical systems. Zbl 1407.37080 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 69 2015 Darboux integrability and the inverse integrating factor. Zbl 1043.34001 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 68 2003 Algebraic and topological classification of the homogeneous cubic vector fields in the plane. Zbl 0711.34061 Cima, Anna; Llibre, Jaume 64 1990 Horseshoes, entropy and periods for graph maps. Zbl 0787.54021 Llibre, Jaume; Misiurewicz, Michał 62 1993 Averaging analysis of a perturbated quadratic center. Zbl 0992.34024 Llibre, Jaume; Pérez del Río, Jesús S.; Rodríguez, José Angel 60 2001 Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation. Zbl 1270.34018 Llibre, J.; Teixeira, M. A.; Torregrosa, J. 60 2013 Piecewise linear differential systems with only centers can create limit cycles? Zbl 1390.34081 Llibre, Jaume; Teixeira, Marco Antonio 59 2018 Piecewise linear differential systems with two real saddles. Zbl 1533.34033 Artés, Joan C.; Llibre, Jaume; Medrado, Joao C.; Teixeira, Marco A. 57 2014 Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004 Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 56 2001 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005 Llibre, Jaume; Zhang, Xiang 56 2002 On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line. Zbl 1309.34039 Euzébio, Rodrigo D.; Llibre, Jaume 55 2015 A unified proof of the weakened Hilbert 16th problem for \(n=2\). Zbl 1098.34024 Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua 54 2006 Integrability of polynomial differential systems. Zbl 1088.34022 Llibre, Jaume 54 2004 Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation. Zbl 1127.34003 Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A. 53 2007 Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differentiable center with two zones. Zbl 1327.34067 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 52 2015 Global dynamics of the Rikitake system. Zbl 1162.37017 Llibre, Jaume; Messias, Marcelo 49 2009 Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035 Li, Chengzhi; Llibre, Jaume 49 2012 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054 Llibre, Jaume; Zhang, Xiang 47 2009 Limit cycles of cubic polynomial vector fields via the averaging theory. Zbl 1127.34025 Giné, Jaume; Llibre, Jaume 46 2007 Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity. Zbl 0699.58049 Llibre, J.; Mackay, R. S. 45 1991 On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities. Zbl 1158.34020 Llibre, Jaume; Ponce, Enrique; Torres, Francisco 45 2008 Horseshoes near homoclinic orbits for piecewise linear differential systems in \(\mathbb R^3\). Zbl 1185.37048 Llibre, Jaume; Ponce, Enrique; Teruel, Antonio E. 44 2007 Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010 Llibre, Jaume; Simó, Carles 44 1980 Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem. Zbl 0594.70013 Llibre, Jaume; Martínez, Regina; Simó, Carles 43 1985 Configurations of limit cycles and planar polynomial vector fields. Zbl 1055.34061 Llibre, Jaume; Rodríguez, Gerardo 43 2004 Introduction to the qualitative theory of differential systems. Planar, symmetric and continuous piecewise linear systems. Zbl 1286.34001 Llibre, Jaume; Teruel, Antonio E. 43 2014 On the global dynamics of the Rabinovich system. Zbl 1147.37023 Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R. 42 2008 Limit cycles of a perturbed cubic polynomial differential center. Zbl 1298.34061 Buică, Adriana; Llibre, Jaume 42 2007 The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Zbl 1380.34030 Castillo, Juan; Llibre, Jaume; Verduzco, Fernando 41 2017 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001 Llibre, Jaume; Zhang, Xiang 40 2002 Quadratic Hamiltonian vector fields. Zbl 0791.34048 Artés, Joan C.; Llibre, Jaume 40 1994 The geometry of quadratic differential systems with a weak focus of second order. Zbl 1124.34014 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana 39 2006 Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304 Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A. 39 2009 The geometry of quadratic differential systems with a weak focus of third order. Zbl 1058.34034 Llibre, Jaume; Schlomiuk, Dana 38 2004 Entropy and periodic points for transitive maps. Zbl 0913.58034 Alsedà, Ll.; Kolyada, S.; Llibre, J.; Snoha, Ľ. 38 1999 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002 Llibre, Jaume; Zhang, Xiang 38 2012 Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. Zbl 1411.34030 Llibre, Jaume; Zhang, Xiang 38 2018 On the limit cycles of polynomial vector fields. Zbl 1223.34039 Llibre, J.; Świrszcz, G. 36 2011 The focus-centre problem for a type of degenerate system. Zbl 0962.34067 Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc 36 2000 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003 Llibre, Jaume; Zhang, Xiang 36 2010 Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones. Zbl 1378.34066 Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. 35 2017 Averaging theory at any order for computing periodic orbits. Zbl 1267.34073 Giné, Jaume; Grau, Maite; Llibre, Jaume 35 2013 Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry. Zbl 1331.34042 Llibre, Jaume; Ponce, Enrique; Valls, Clàudia 34 2015 Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1303.34027 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 34 2014 On the shape of limit cycles that bifurcate from Hamiltonian centers. Zbl 0954.34022 Giacomini, Hector; Llibre, Jaume; Viano, Mireille 34 2000 Darboux integrability for 3D Lotka-Volterra systems. Zbl 0953.34037 Cairó, Laurent; Llibre, Jaume 34 2000 Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038 Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen 34 2009 On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011 Belbruno, Edward; Llibre, Jaume; Ollé, Mercè 34 1994 New central configurations for the planar 5-body problem. Zbl 1251.70012 Llibre, Jaume; Mello, Luis Fernando 33 2008 Counterexample to Kalman and Markus-Yamabe conjectures in larger than 3. Zbl 0889.34047 Bernat, Josep; Llibre, Jaume 33 1996 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010 Li, Weigu; Llibre, Jaume; Zhang, Xiang 33 2003 Global dynamics of the Lorenz system with invariant algebraic surfaces. Zbl 1204.34069 Llibre, Jaume; Messias, Marcelo; Da Silva, Paulo Ricardo 32 2010 Phase portraits of planar control systems. Zbl 0858.93037 Llibre, Jaume; Sotomayor, Jorge 32 1996 A new result on averaging theory for a class of discontinuous planar differential systems with applications. Zbl 1386.34081 Itikawa, Jackson; Llibre, Jaume; Novaes, Douglas Duarte 31 2017 Periodic orbits of maps of \(Y\). Zbl 0803.54032 Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 31 1989 Liouvillian first integrals for the planar Lotka-Volterra system. Zbl 1194.34014 Giacomini, Hector; Cairó, Laurent; Llibre, Jaume 30 2003 Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037 Llibre, Jaume; Xiao, Dongmei 29 2014 Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043 Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen 29 1995 Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers. Zbl 1308.34041 Llibre, Jaume; Itikawa, Jackson 28 2015 A class of reversible cubic systems with an isochronous center. Zbl 0982.34024 Cairó, L.; Chavarriga, J.; Giné, J.; Llibre, J. 28 1999 Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. Zbl 1323.34042 Llibre, Jaume; Teixeira, Marco Antonio 28 2015 Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1307.34060 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 27 2014 On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022 Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume 27 1998 Invariant algebraic surfaces of the Rikitake system. Zbl 0967.34002 Llibre, Jaume; Zhang, Xiang 27 2000 Uniqueness of algebraic limit cycles for quadratic systems. Zbl 0995.34024 Chavarriga, Javier; Giacomini, Hector; Llibre, Jaume 26 2001 Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2. Zbl 1189.34065 Cairó, Laurent; Llibre, Jaume 26 2007 Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres. Zbl 0999.34032 Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen 26 2000 Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems. Zbl 1325.34002 Llibre, Jaume; Valls, Clàudia 26 2011 Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028 Coll, B.; Gasull, A.; Llibre, J. 26 1987 First integrals of local analytic differential systems. Zbl 1245.34004 Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian 26 2012 Chordal quadratic systems. Zbl 0609.34040 Gasull, Armengol; Sheng, Li-Ren; Llibre, Jaume 25 1986 Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor. Zbl 1011.34029 Viano, Mireille; Llibre, Jaume; Giacomini, Hector 25 2002 Minimal sets of periods for torus maps. Zbl 0965.37019 Jiang, Boju; Llibre, Jaume 25 1998 Periodic points of holomorphic maps via Lefschetz numbers. Zbl 0947.55001 Fagella, Núria; Llibre, Jaume 25 2000 Minimal sets of periods for torus maps via Nielsen numbers. Zbl 0843.55004 Alsedà, Lluís; Baldwin, Stewart; Llibre, Jaume; Swanson, R.; Szlenk, W. 25 1995 Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line. Zbl 1412.34111 Li, Shimin; Llibre, Jaume 25 2019 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035 Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 24 2002 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060 Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 24 2009 Central configurations of nested regular polyhedra for the spatial \(2n\)-body problem. Zbl 1146.70007 Corbera, M.; Llibre, J. 24 2008 The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves. II. Zbl 1535.34021 Benterki, Rebiha; Damene, Loubna; Llibre, Jaume 1 2024 Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center. Zbl 1512.34069 Llibre, Jaume 3 2023 Reversible global centres with quintic homogeneous nonlinearities. Zbl 1528.34034 Llibre, Jaume; Valls, Claudia 3 2023 The limit cycles of a class of piecewise differential systems. Zbl 07730206 Benabdallah, Imane; Benterki, Rebiha; Llibre, Jaume 2 2023 On a class of global centers of linear systems with quintic homogeneous nonlinearities. Zbl 1521.34031 García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 2 2023 Polynomial Liénard systems with a nilpotent global center. Zbl 1528.34032 García, Isaac A.; Llibre, Jaume 2 2023 Global phase portraits of the generalized van der Pol systems. Zbl 1518.34039 Llibre, Jaume; Valls, Claudia 1 2023 On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems. Zbl 07735757 Li, Tao; Llibre, Jaume 1 2023 Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line. Zbl 07848389 Baymout, Louiza; Benterki, Rebiha; Llibre, Jaume 1 2023 Limit cycles of polynomial differential systems of degree 1 and 2 on the cylinder. Zbl 1540.34068 Jimenez, Johana; Llibre, Jaume 1 2023 Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. Zbl 1511.34016 Li, Tao; Llibre, Jaume 1 2023 Global centers of the generalized polynomial Liénard differential systems. Zbl 1501.34031 Llibre, Jaume; Valls, Claudia 7 2022 Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications. Zbl 1495.34026 Chen, Xingwu; Li, Tao; Llibre, Jaume 5 2022 A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. Zbl 1505.34046 Giné, Jaume; Llibre, Jaume 4 2022 Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090 Chen, Ting; Llibre, Jaume 3 2022 Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems. Zbl 1506.34028 Guo, Zhifei; Llibre, Jaume 3 2022 Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. Zbl 1504.34073 Llibre, Jaume; Valls, Claudia 3 2022 Limit cycles of a class of discontinuous piecewise differential systems separated by the curve \(y= x^n\) via averaging theory. Zbl 1510.34049 Guo, Zhifei; Llibre, Jaume 3 2022 Phase portraits of the Higgins-Selkov system. Zbl 1492.34056 Llibre, Jaume; Mousavi, Marzieh 3 2022 Limit cycles of generic piecewise center-type vector fields in \(\mathbb{R}^3\) separated by either one plane or by two parallel planes. Zbl 1505.37060 Villanueva, Yovani; Llibre, Jaume; Euzébio, Rodrigo 2 2022 On the equilateral pentagonal central configurations. Zbl 1513.70041 Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 2 2022 Limit cycles in Filippov systems having a circle as switching manifold. Zbl 07872785 Llibre, Jaume; Teixeira, Marco Antonio 2 2022 Rocard’s 1941 chaotic relaxation econometric oscillator. Zbl 1493.37038 Ginoux, Jean-Marc; Jovanovic, Franck; Meucci, Riccardo; Llibre, Jaume 2 2022 The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030 Liu, Changjian; Li, Chengzhi; Llibre, Jaume 2 2022 Flow curvature manifold and energy of generalized Liénard systems. Zbl 1504.34144 Ginoux, Jean-Marc; Lebiedz, Dirk; Meucci, Riccardo; Llibre, Jaume 2 2022 Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I. Zbl 1497.34056 Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb 2 2022 Planar central configurations of some restricted \((4 + 1)\)-body problems. Zbl 1509.70010 Corbera, M.; Llibre, J.; Valls, C. 1 2022 Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems. Zbl 1519.34032 Chen, Ting; Li, Shimin; Llibre, Jaume 1 2022 Global phase portraits of a predator-prey system. Zbl 1499.34270 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 1 2022 Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations. Zbl 1500.34028 Llibre, Jaume; Valls, Claudia 1 2022 Lower bounds for the number of limit cycles in a generalised Rayleigh-Liénard oscillator. Zbl 1509.34035 Euzébio, Rodrigo D.; Llibre, Jaume; Tonon, Durval J. 1 2022 Twin polynomial vector fields of arbitrary degree. Zbl 1495.34054 Llibre, Jaume; Valls, Claudia 1 2022 Phase portraits of uniform isochronous centers with homogeneous nonlinearities. Zbl 1498.34089 Llibre, Jaume; Valls, Claudia 1 2022 Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic. Zbl 1505.34047 Llibre, Jaume; Valls, Claudia 1 2022 Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity. Zbl 1482.34122 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 1 2022 Geometric configurations of singularities of planar polynomial differential systems. A global classification in the quadratic case. Zbl 1493.37001 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 23 2021 The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves I. Zbl 1477.34035 Benterki, Rebiha; Llibre, Jaume 14 2021 The planar discontinuous piecewise linear refracting systems have at most one limit cycle. Zbl 1474.34286 Li, Shimin; Liu, Changjian; Llibre, Jaume 14 2021 The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085 Esteban, M.; Llibre, J.; Valls, C. 13 2021 Polynomial differential systems with even degree have no global centers. Zbl 1480.34044 Llibre, Jaume; Valls, Claudia 7 2021 The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line. Zbl 1490.34036 Esteban, Marina; Llibre, Jaume; Valls, Claudia 6 2021 Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibrium points and separated by irreducible cubics. Zbl 1479.34077 Belfar, Ahlam; Benterki, Rebiha; Llibre, Jaume 6 2021 Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. Zbl 1493.34096 Li, Tao; Llibre, Jaume 6 2021 Phase portraits of a family of Kolmogorov systems depending on six parameters. Zbl 1462.34049 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 5 2021 The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems. Zbl 1471.34061 Llibre, Jaume; Valls, Claudia 4 2021 A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems. Zbl 1481.34041 Llibre, Jaume; Zhang, Xiang 4 2021 Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles. Zbl 1468.34021 Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio 4 2021 The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in \(\mathbb{R}^3\). Zbl 1461.34061 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria; Valls, Claudia 3 2021 Rational limit cycles of Abel equations. Zbl 1471.34062 Llibre, Jaume; Valls, Claudia 3 2021 Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system. Zbl 1481.37071 Llibre, Jaume; Saeed, Tareq; Zotos, Euaggelos E. 3 2021 Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator. Zbl 1475.37057 Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C. 3 2021 Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics. Zbl 1488.34226 Benterki, Rebiha; Jimenez, Jeidy; Llibre, Jaume 3 2021 The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055 Llibre, Jaume; Paşca, Daniel; Valls, Claudià 3 2021 Limit cycles of piecewise differential equations on the cylinder. Zbl 1486.34074 Bakhshalizadeh, Ali; Llibre, Jaume 3 2021 Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps. Zbl 1479.34056 Alberich-Carramiñana, Maria; Ferragut, Antoni; Llibre, Jaume 3 2021 \(N\)-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order. Zbl 1477.34062 Kassa, S.; Llibre, J.; Makhlouf, A. 2 2021 Phase portraits and bifurcation diagram of the Gray-Scott model. Zbl 1462.34075 Chen, Ting; Li, Shimin; Llibre, Jaume 2 2021 Phase portraits of the complex Abel polynomial differential systems. Zbl 1485.34099 Llibre, Jaume; Valls, Claudia 2 2021 A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. Zbl 1459.14023 Giné, Jaume; Llibre, Jaume 2 2021 Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). Zbl 1490.34038 Li, Tao; Llibre, Jaume 2 2021 Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces. Zbl 1476.37032 Llibre, Jaume; Tian, Yuzhou 2 2021 The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line. Zbl 1480.34074 Llibre, Jaume; de A. S. Menezes, Lucyjane 2 2021 A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1467.37024 Llibre, Jaume; Valls, Claudia 2 2021 Complete integrability of vector fields in \(\mathbb{R}^N\). Zbl 1476.34006 Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 2 2021 Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 1490.34030 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 2 2021 Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point. Zbl 1471.58038 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 2 2021 Periodic solutions for differential systems in \(\mathbb{R}^3\) and \(\mathbb{R}^4\). Zbl 1514.34068 Feddaoui, Amina; Llibre, Jaume; Berhail, Chemseddine; Makhlouf, Amar 1 2021 Phase portraits of the quadratic polynomial Liénard differential systems. Zbl 1466.37019 Gouveia, Márcio R. A.; Llibre, Jaume; Roberto, Luci Any 1 2021 Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. Zbl 1496.34064 Djedid, Djamila; Llibre, Jaume; Makhlouf, Amar 1 2021 Bifurcations of the Riccati quadratic polynomial differential systems. Zbl 1471.37026 Llibre, Jaume; Lopes, Bruno D.; da Silva, Paulo R. 1 2021 The zero-Hopf bifurcations of a four-dimensional hyperchaotic system. Zbl 1469.37037 Llibre, Jaume; Tian, Yuzhou 1 2021 Polynomial vector fields on the Clifford torus. Zbl 1465.34058 Llibre, Jaume; Murza, Adrian C. 1 2021 Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024 García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna 1 2021 Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system. Zbl 1477.37061 Kassa, Sara; Llibre, Jaume; Makhlouf, Amar 1 2021 On the birth and death of algebraic limit cycles in quadratic differential systems. Zbl 1509.34032 Llibre, Jaume; Oliveira, Regilene; Zhao, Yulin 1 2021 The center problem for the class of \(\varLambda-\varOmega\) differential systems. Zbl 1500.34027 Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 1 2021 Limit cycles on piecewise smooth vector fields with coupled rigid centers. Zbl 1489.34048 Carvalho, Tiago; Gonçalves, Luiz Fernando; Llibre, Jaume 1 2021 Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers. Zbl 1516.34035 LLibre, Jaume; de Moraes, Jaime R. 1 2021 Periodic structure of the transversal maps on surfaces. Zbl 1490.37056 Llibre, Jaume; Sirvent, Víctor F. 1 2021 Entropy and periods for continuous graph maps. Zbl 1499.37074 Llibre, Jaume; Sirvent, Víctor F. 1 2021 Quadratic systems with an invariant algebraic curve of degree 3 and a Darboux invariant. Zbl 1468.34038 Llibre, Jaume; Oliveira, Regilene D. S.; Rodrigues, Camila A. B. 1 2021 The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems. Zbl 1489.34083 Llibre, Jaume; Zhang, Xiang 1 2021 The limit cycles of the Higgins-Selkov systems. Zbl 1486.34095 Chen, Hebai; Llibre, Jaume; Tang, Yilei 1 2021 Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems. Zbl 1487.34001 Li, Tao; Llibre, Jaume 1 2021 Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. Zbl 1453.34047 da Fonseca, Alexander Fernandes; Llibre, Jaume; Mello, Luis Fernando 14 2020 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 14 2020 Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. Zbl 1496.34062 Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia 13 2020 Phase portraits of planar piecewise linear refracting systems: focus-saddle case. Zbl 1457.34046 Li, Shimin; Llibre, Jaume 10 2020 Strongly formal Weierstrass non-integrability for polynomial differential systems in \(\mathbb{C}^2\). Zbl 1449.34001 Giné, Jaume; Llibre, Jaume 10 2020 \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields. Zbl 1471.37056 Chen, Ting; Li, Shimin; Llibre, Jaume 9 2020 Crossing limit cycles for a class of piecewise linear differential centers separated by a conic. Zbl 1452.34025 Jimenez, Johana; Llibre, Jaume; Medrado, João C. 9 2020 Linear type global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1479.34059 García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 8 2020 Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001 Giné, Jaume; Llibre, Jaume 7 2020 Nilpotent global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1436.34027 García-Saldaña, J. D.; Llibre, Jaume; Valls, Claudia 7 2020 Limit cycles bifurcating of Kolmogorov systems in \(\mathbb{R}^2\) and in \(\mathbb{R}^3\). Zbl 1457.37067 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 7 2020 Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Zbl 1479.34057 Cardoso, João L.; Llibre, Jaume; Novaes, Douglas D.; Tonon, Durval J. 7 2020 The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems. Zbl 1517.34060 Benterki, Rebiha; Llibre, Jaume 6 2020 Bifurcations from families of periodic solutions in piecewise differential systems. Zbl 1500.34031 Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. 6 2020 Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve. Zbl 1463.34141 Jimenez, Jeidy; Llibre, Jaume; Medrado, Joao 5 2020 Global dynamics of a Lotka-Volterra system in \(\mathbb{R}^3\). Zbl 1436.37027 Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 5 2020 ...and 877 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,066 Authors 767 Llibre, Jaume 251 Valls Anglés, Cláudia 138 Giné, Jaume 98 Zhang, Xiang 96 Han, Maoan 83 Gasull, Armengol 59 Vidal, Claudio 56 Algaba, Antonio 56 Torregrosa, Joan 50 García, Isaac A. 46 Chen, Hebai 45 Teixeira, Marco Antonio 42 García, Cristóbal 40 Novaes, Douglas Duarte 40 Oliveira, Regilene D. S. 40 Romanovskiĭ, Valeriĭ Georgievich 40 Zhao, Yulin 36 Ponce, Enrique 33 Liu, Changjian 33 Mello, Luis Fernando O. 33 Vulpe, Nicolae I. 31 Li, Feng 30 Alsedà, Lluís 30 Cánovas, Jose S. 30 Giacomini, Hector J. 30 Yu, Pei 29 Buzzi, Claudio Aguinaldo 28 Corbera, Montserrat 28 Huang, Wentao 28 Xiong, Yanqin 27 Ferragut, Antoni 27 García Guirao, Juan Luis 27 Grau, Maite 26 Artés, Joan Carles 26 Li, Shimin 26 Makhlouf, Amar 26 Schlomiuk, Dana I. 26 Tang, Yilei 26 Yu, Jiang 25 Liu, Yirong 25 Wu, Yusen 24 Benterki, Rebiha 24 Da Silva, Paulo Ricardo 24 Misiurewicz, Michał 23 Messias, Marcelo 23 Wei, Zhouchao 22 Freire Macías, Emilio 22 Liang, Haihua 22 Pantazi, Chara 22 Pérez-Chavela, Ernesto 22 Prohens, Rafel 22 Yang, Jihua 21 Chen, Xingwu 21 Cors, Josep Maria 20 Chavarriga, Javier 20 González-Olivares, Eduardo 20 Mañosas, Francesc 20 Xiao, Dongmei 20 Yang, Xiaosong 19 Fernandes, Antonio Carlos 19 Huang, Jianfeng 19 Rojas-Palma, Alejandro 18 Alvarez-Ramírez, Martha 18 Alvarez, María Jesus 18 Blokh, Alexander M. 18 Oprocha, Piotr 18 Uldall Kristiansen, K. 17 Leonov, Gennadiĭ Alekseevich 17 Shi, Shaoyun 17 Vera, Juan A. 17 Xia, Yonghui 16 Andres, Jan 16 Bendjeddou, Ahmed 16 Li, Chengzhi 16 Pessoa, Claudio 16 Ramírez, Rafael O. 16 Reyes, Manuel 16 Sirvent, Víctor F. 16 Teruel, Antonio E. 16 Zhao, Liqin 15 Bravo, José Luis 15 Buică, Adriana 15 Carmona, Victoriano 15 de Carvalho, Tiago 15 Kuznetsov, Nikolay Vladimirovich 15 Yang, Jiazhong 15 Yang, Junmin 14 Cen, Xiuli 14 Cima, Anna 14 Demina, Maria V. 14 Dias, Fabio Scalco 14 Ginoux, Jean-Marc 14 Huang, Bo 14 Mañosa, Víctor 14 Maza, Susanna 14 Rodríguez-Luis, Alejandro J. 14 M-Seara, Tere 14 Torres Peral, Francisco 14 Walcher, Sebastian 14 Yang, Qigui ...and 2,966 more Authors all top 5 Cited in 397 Serials 374 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 301 Journal of Differential Equations 212 Qualitative Theory of Dynamical Systems 204 Journal of Mathematical Analysis and Applications 106 Celestial Mechanics and Dynamical Astronomy 99 Chaos, Solitons and Fractals 99 Physica D 91 Nonlinear Dynamics 82 Communications in Nonlinear Science and Numerical Simulation 80 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 77 Bulletin des Sciences Mathématiques 76 Discrete and Continuous Dynamical Systems. Series B 72 Journal of Mathematical Physics 72 Nonlinear Analysis. Real World Applications 71 Journal of Dynamics and Differential Equations 68 Applied Mathematics and Computation 59 Topology and its Applications 53 Journal of Difference Equations and Applications 50 Proceedings of the American Mathematical Society 47 Discrete and Continuous Dynamical Systems 44 Journal of Applied Analysis and Computation 41 Chaos 41 Journal of Nonlinear Mathematical Physics 40 Nonlinearity 40 SIAM Journal on Applied Dynamical Systems 39 Dynamical Systems 35 Ergodic Theory and Dynamical Systems 34 Mathematical Methods in the Applied Sciences 33 Physics Letters. A 33 Journal of Geometry and Physics 32 Transactions of the American Mathematical Society 29 Applied Mathematics Letters 28 Journal of Nonlinear Science 26 Rendiconti del Circolo Matemàtico di Palermo. Serie II 26 Acta Mathematica Sinica. English Series 25 Advances in Difference Equations 24 Rocky Mountain Journal of Mathematics 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Regular and Chaotic Dynamics 19 Journal of Computational and Applied Mathematics 19 Journal of Dynamical and Control Systems 18 Advances in Mathematics 18 Communications on Pure and Applied Analysis 17 Acta Applicandae Mathematicae 17 Electronic Journal of Differential Equations (EJDE) 16 Computers & Mathematics with Applications 16 Buletinul Academiei de Științe a Republicii Moldova. Matematica 16 Differential Equations and Dynamical Systems 16 Abstract and Applied Analysis 16 Discrete and Continuous Dynamical Systems. Series S 14 Mathematics and Computers in Simulation 14 Discrete Dynamics in Nature and Society 14 Science China. Mathematics 13 Archive for Rational Mechanics and Analysis 13 Astrophysics and Space Science 13 Mediterranean Journal of Mathematics 12 Differential Equations 11 Acta Mathematicae Applicatae Sinica. English Series 11 Journal of Symbolic Computation 11 Topological Methods in Nonlinear Analysis 11 Mathematical Problems in Engineering 11 International Journal of Geometric Methods in Modern Physics 11 Nonlinear Analysis. Theory, Methods & Applications 10 Communications in Mathematical Physics 10 Israel Journal of Mathematics 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Sibirskie Èlektronnye Matematicheskie Izvestiya 10 Journal of Fixed Point Theory and Applications 10 Nonlinear Analysis. Hybrid Systems 10 São Paulo Journal of Mathematical Sciences 10 Applied Mathematics and Nonlinear Sciences 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Annales de l’Institut Fourier 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Results in Mathematics 9 NoDEA. Nonlinear Differential Equations and Applications 9 Communications in Contemporary Mathematics 9 Applied Mathematics E-Notes 8 Bulletin of the Australian Mathematical Society 8 Journal of Pure and Applied Algebra 8 Mathematische Zeitschrift 8 European Journal of Applied Mathematics 8 Computational and Applied Mathematics 8 Boletín de la Sociedad Matemática Mexicana. Third Series 8 Mathematical Physics, Analysis and Geometry 8 Advanced Nonlinear Studies 7 International Journal of Control 7 Ukrainian Mathematical Journal 7 Anais da Academia Brasileira de Ciências 7 Automatica 7 Geometriae Dedicata 7 Expositiones Mathematicae 7 Journal of Mathematical Sciences (New York) 7 Russian Journal of Nonlinear Dynamics 6 Mathematical Notes 6 Physica A 6 Science in China. Series A 6 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 6 Journal of Applied Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series ...and 297 more Serials all top 5 Cited in 61 Fields 2,720 Ordinary differential equations (34-XX) 1,786 Dynamical systems and ergodic theory (37-XX) 624 Mechanics of particles and systems (70-XX) 258 Biology and other natural sciences (92-XX) 133 General topology (54-XX) 93 Partial differential equations (35-XX) 78 Systems theory; control (93-XX) 67 Operator theory (47-XX) 63 Numerical analysis (65-XX) 53 Global analysis, analysis on manifolds (58-XX) 51 Algebraic geometry (14-XX) 50 Difference and functional equations (39-XX) 46 Differential geometry (53-XX) 46 Relativity and gravitational theory (83-XX) 43 Algebraic topology (55-XX) 41 Manifolds and cell complexes (57-XX) 39 Computer science (68-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Information and communication theory, circuits (94-XX) 32 Real functions (26-XX) 31 Several complex variables and analytic spaces (32-XX) 31 Probability theory and stochastic processes (60-XX) 31 Astronomy and astrophysics (85-XX) 29 Fluid mechanics (76-XX) 25 Commutative algebra (13-XX) 19 Measure and integration (28-XX) 19 Quantum theory (81-XX) 17 Functions of a complex variable (30-XX) 17 Optics, electromagnetic theory (78-XX) 17 Geophysics (86-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Field theory and polynomials (12-XX) 13 Combinatorics (05-XX) 13 Number theory (11-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Group theory and generalizations (20-XX) 10 Functional analysis (46-XX) 10 Mechanics of deformable solids (74-XX) 9 Approximations and expansions (41-XX) 8 Special functions (33-XX) 8 Integral equations (45-XX) 7 Mathematical logic and foundations (03-XX) 7 Nonassociative rings and algebras (17-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 General and overarching topics; collections (00-XX) 6 Statistics (62-XX) 5 Topological groups, Lie groups (22-XX) 4 History and biography (01-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.