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: 1,215 Publications since 1976, including 13 Books and 15 Additional arXiv Preprints 14 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 343 Co-Authors with 1,177 Joint Publications 5,114 Co-Co-Authors all top 5 Co-Authors 44 single-authored 207 Valls Anglés, Cláudia 59 Giné, Jaume 47 Zhang, Xiang 43 Teixeira, Marco Antonio 41 Artés, Joan Carles 34 Corbera, Montserrat 26 García Guirao, Juan Luis 24 Pantazi, Chara 23 Vulpe, Nicolae I. 21 Makhlouf, Amar 21 Novaes, Douglas Duarte 20 Alsedà, Lluís 20 Ramírez, Rafael O. 19 Gasull, Armengol 18 Pérez-Chavela, Ernesto 17 Lacomba, Ernesto A. 17 Li, Weigu 17 Schlomiuk, Dana I. 16 Benterki, Rebiha 16 Buzzi, Claudio Aguinaldo 15 Da Silva, Paulo Ricardo 15 Li, Chengzhi 15 Oliveira, Regilene D. S. 15 Vidal, Claudio 14 Cairó, Laurent 14 Chavarriga, Javier 14 Ferragut, Antoni 14 Ginoux, Jean-Marc 14 Ponce, Enrique 13 García, Isaac A. 13 Giacomini, Hector J. 13 Li, Shimin 13 Pérez del Río, Jesús S. 13 Sirvent, Víctor F. 12 Buică, Adriana 12 Cors, Josep Maria 12 Mello, Luis Fernando O. 12 Messias, Marcelo 12 Misiurewicz, Michał 11 Christopher, Colin J. 11 Grau, Maite 11 Ramírez, Valentín 11 Salhi, Tayeb 11 Simó, Carles 11 Yu, Jiang 11 Zhang, Zhifen 10 Barreira, Luis Manuel 10 Cima, Anna 10 Diz-Pita, Érika 10 Mancilla-Martínez, Y. Paulina 10 Otero-Espinar, Maria Victoria 10 Rodríguez, José Angel 10 Walcher, Sebastian 9 Chen, Ting 9 Coll, Bartomeu 9 García, Belén 9 Mahdi, Adam 9 Mereu, Ana Cristina 9 Sadovskaia, Natalia 9 Torregrosa, Joan 8 Cândido, Murilo R. 8 Casasayas, Josefina 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 Braun, Francisco 6 Colak, Ilker E. 6 Dias, Fabio Scalco 6 Euzébio, Rodrigo D. 6 Falconi, Manuel J. 6 Li, Tao 6 Makhlouf, Ammar 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 Castellanos, Víctor 5 Gouveia, Márcio R. Alves 5 Jiménez-Lara, Lidia 5 Liu, Changjian 5 Makarenkov, Oleg Yuryĭovych 5 Murza, Adrian Calin 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 ...and 243 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 23 Electronic Journal of Differential Equations (EJDE) 22 Chaos, Solitons and Fractals 22 Nonlinear Dynamics 21 Rendiconti del Circolo Matemàtico di Palermo. Serie II 21 Celestial Mechanics and Dynamical Astronomy 21 Journal of Dynamics and Differential Equations 20 Journal of Geometry and Physics 20 Discrete and Continuous Dynamical Systems 20 Dynamical Systems 18 Nonlinearity 17 Applied Mathematics and Computation 17 Proceedings of the American Mathematical Society 16 Rocky Mountain Journal of Mathematics 14 Pacific Journal of Mathematics 14 Physica D 14 Journal of Nonlinear Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Journal of Difference Equations and Applications 12 Differential Equations and Dynamical Systems 12 Nonlinear Analysis. Real World Applications 11 Houston Journal of Mathematics 11 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 11 São Paulo Journal of Mathematical Sciences 10 Applied Mathematics Letters 10 Publicacions Matemàtiques 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Chaos 8 Physics Letters. A 8 Journal of Computational and Applied Mathematics 8 Electronic Journal of Qualitative Theory of Differential Equations 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Dynamical and Control Systems 7 Ergodic Theory and Dynamical Systems 7 Publicacions. Secciò de Matemàtiques 7 Mediterranean Journal of Mathematics 6 Anais da Academia Brasileira de Ciências 6 Mathematics and Computers in Simulation 6 Topology and its Applications 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 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 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 Regular and Chaotic Dynamics 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 Applicable Analysis 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 World Scientific Monograph Series in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 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 78 more Serials all top 5 Fields 894 Ordinary differential equations (34-XX) 463 Dynamical systems and ergodic theory (37-XX) 184 Mechanics of particles and systems (70-XX) 54 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) 18 Algebraic topology (55-XX) 15 General and overarching topics; collections (00-XX) 12 Algebraic geometry (14-XX) 11 Partial differential equations (35-XX) 10 Astronomy and astrophysics (85-XX) 8 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) 4 Information and communication theory, circuits (94-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-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 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-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 1,015 Publications have been cited 12,069 times in 4,314 Documents Cited by ▼ Year ▼ Qualitative theory of planar differential systems. Zbl 1110.34002 Dumortier, Freddy; Llibre, Jaume; Artés, Joan C. 666 2006 Averaging methods for finding periodic orbits via Brouwer degree. Zbl 1055.34086 Buică, Adriana; Llibre, Jaume 195 2004 Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001 Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał 158 2000 Three nested limit cycles in discontinuous piecewise linear differential systems with two zones. Zbl 1268.34061 Llibre, Jaume; Ponce, Enrique 147 2012 Multiplicity of invariant algebraic curves in polynomial vector fields. Zbl 1160.34003 Christopher, Colin; Llibre, Jaume; Pereira, Jorge Vitório 134 2007 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087 Giacomini, H.; Llibre, J.; Viano, M. 111 1996 Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034 Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 94 1993 Averaging theory for discontinuous piecewise differential systems. Zbl 1347.37097 Llibre, Jaume; Mereu, Ana C.; Novaes, Douglas D. 93 2015 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 91 2015 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 90 2014 Bounded polynomial vector fields. Zbl 0695.34028 Cima, Anna; Llibre, Jaume 88 1990 On the integrability of two-dimensional flows. Zbl 0940.37005 Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 87 1999 Limit cycles for a class of Abel equations. Zbl 0732.34025 Gasull, A.; Llibre, J. 86 1990 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 84 2013 Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036 Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume 81 2007 Limit cycles for discontinuous quadratic differential systems with two zones. Zbl 1318.34049 Llibre, Jaume; Mereu, Ana C. 80 2014 Integrability via invariant algebraic curves for planar polynomial differential systems. Zbl 0974.34005 Christopher, Colin; Llibre, Jaume 79 2000 Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003 Llibre, Jaume; Zhang, Xiang 75 2009 Local analytic integrability for nilpotent centers. Zbl 1037.34025 Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 74 2003 On the birth of limit cycles for non-smooth dynamical systems. Zbl 1407.37080 Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 73 2015 Limit cycles of the generalized polynomial Liénard differential equations. Zbl 1198.34051 Llibre, Jaume; Mereu, Ana Cristina; Teixeira, Marco Antonio 69 2010 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 67 1990 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 64 2006 Piecewise linear differential systems with only centers can create limit cycles? Zbl 1390.34081 Llibre, Jaume; Teixeira, Marco Antonio 64 2018 Horseshoes, entropy and periods for graph maps. Zbl 0787.54021 Llibre, Jaume; Misiurewicz, Michał 62 1993 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. 61 2013 Averaging analysis of a perturbated quadratic center. Zbl 0992.34024 Llibre, Jaume; Pérez del Río, Jesús S.; Rodríguez, José Angel 60 2001 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 57 2015 Piecewise linear differential systems with two real saddles. Zbl 1533.34033 Artés, Joan C.; Llibre, Jaume; Medrado, Joao C.; Teixeira, Marco A. 57 2014 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005 Llibre, Jaume; Zhang, Xiang 56 2002 A unified proof of the weakened Hilbert 16th problem for \(n=2\). Zbl 1098.34024 Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua 55 2006 Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035 Li, Chengzhi; Llibre, Jaume 55 2012 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. 54 2015 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. 52 2007 Global dynamics of the Rikitake system. Zbl 1162.37017 Llibre, Jaume; Messias, Marcelo 49 2009 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 47 2007 Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity. Zbl 0699.58049 Llibre, J.; Mackay, R. S. 45 1991 Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010 Llibre, Jaume; Simó, Carles 45 1980 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 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. 44 2001 Introduction to the qualitative theory of differential systems. Planar, symmetric and continuous piecewise linear systems. Zbl 1286.34001 Llibre, Jaume; Teruel, Antonio E. 44 2014 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 Configurations of limit cycles and planar polynomial vector fields. Zbl 1055.34061 Llibre, Jaume; Rodríguez, Gerardo 44 2004 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 44 1985 On the global dynamics of the Rabinovich system. Zbl 1147.37023 Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R. 43 2008 The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Zbl 1380.34030 Castillo, Juan; Llibre, Jaume; Verduzco, Fernando 43 2017 Limit cycles of a perturbed cubic polynomial differential center. Zbl 1298.34061 Buică, Adriana; Llibre, Jaume 42 2007 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 42 2018 Quadratic Hamiltonian vector fields. Zbl 0791.34048 Artés, Joan C.; Llibre, Jaume 41 1994 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001 Llibre, Jaume; Zhang, Xiang 41 2002 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002 Llibre, Jaume; Zhang, Xiang 39 2012 Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304 Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A. 39 2009 Entropy and periodic points for transitive maps. Zbl 0913.58034 Alsedà, Ll.; Kolyada, S.; Llibre, J.; Snoha, Ľ. 38 1999 Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1303.34027 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 38 2014 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003 Llibre, Jaume; Zhang, Xiang 38 2010 The geometry of quadratic differential systems with a weak focus of second order. Zbl 1124.34014 Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana 38 2006 The focus-centre problem for a type of degenerate system. Zbl 0962.34067 Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc 37 2000 The geometry of quadratic differential systems with a weak focus of third order. Zbl 1058.34034 Llibre, Jaume; Schlomiuk, Dana 37 2004 Averaging theory at any order for computing periodic orbits. Zbl 1267.34073 Giné, Jaume; Grau, Maite; Llibre, Jaume 36 2013 On the limit cycles of polynomial vector fields. Zbl 1223.34039 Llibre, J.; Świrszcz, G. 36 2011 Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038 Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen 36 2009 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. 36 2017 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 35 2015 Counterexample to Kalman and Markus-Yamabe conjectures in larger than 3. Zbl 0889.34047 Bernat, Josep; Llibre, Jaume 34 1996 On the shape of limit cycles that bifurcate from Hamiltonian centers. Zbl 0954.34022 Giacomini, Hector; Llibre, Jaume; Viano, Mireille 34 2000 On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011 Belbruno, Edward; Llibre, Jaume; Ollé, Mercè 34 1994 Darboux integrability for 3D Lotka-Volterra systems. Zbl 0953.34037 Cairó, Laurent; Llibre, Jaume 34 2000 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010 Li, Weigu; Llibre, Jaume; Zhang, Xiang 34 2003 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 34 2017 New central configurations for the planar 5-body problem. Zbl 1251.70012 Llibre, Jaume; Mello, Luis Fernando 33 2008 Phase portraits of planar control systems. Zbl 0858.93037 Llibre, Jaume; Sotomayor, Jorge 32 1996 Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037 Llibre, Jaume; Xiao, Dongmei 32 2014 Global dynamics of the Lorenz system with invariant algebraic surfaces. Zbl 1204.34069 Llibre, Jaume; Messias, Marcelo; Da Silva, Paulo Ricardo 32 2010 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 Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers. Zbl 1308.34041 Llibre, Jaume; Itikawa, Jackson 30 2015 Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. Zbl 1323.34042 Llibre, Jaume; Teixeira, Marco Antonio 29 2015 Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1307.34060 Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 29 2014 Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028 Coll, B.; Gasull, A.; Llibre, J. 28 1987 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 28 2000 Invariant algebraic surfaces of the Rikitake system. Zbl 0967.34002 Llibre, Jaume; Zhang, Xiang 28 2000 Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043 Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen 28 1995 A class of reversible cubic systems with an isochronous center. Zbl 0982.34024 Cairó, L.; Chavarriga, J.; Giné, J.; Llibre, J. 28 1999 Uniqueness of algebraic limit cycles for quadratic systems. Zbl 0995.34024 Chavarriga, Javier; Giacomini, Hector; Llibre, Jaume 28 2001 On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022 Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume 27 1998 Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems. Zbl 1325.34002 Llibre, Jaume; Valls, Clàudia 27 2011 Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2. Zbl 1189.34065 Cairó, Laurent; Llibre, Jaume 26 2007 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 26 1986 Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line. Zbl 1412.34111 Li, Shimin; Llibre, Jaume 26 2019 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 26 2021 Piecewise linear differential systems without equilibria produce limit cycles? Zbl 1373.34050 Llibre, Jaume; Teixeira, Marco Antonio 26 2017 Minimal sets of periods for torus maps. Zbl 0965.37019 Jiang, Boju; Llibre, Jaume 25 1998 Averaging methods of arbitrary order, periodic solutions and integrability. Zbl 1336.34062 Giné, Jaume; Llibre, Jaume; Wu, Kesheng; Zhang, Xiang 25 2016 Periodic points of holomorphic maps via Lefschetz numbers. Zbl 0947.55001 Fagella, Núria; Llibre, Jaume 25 2000 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 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035 Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 25 2002 On the connection between global centers and global injectivity in the plane. Zbl 07971669 Braun, Francisco; Llibre, Jaume 1 2025 New families of global cubic centers. Zbl 07961187 Llibre, Jaume; Serantola, Leonardo P. 2 2024 Global centers of a class of cubic polynomial differential systems. Zbl 07905951 Llibre, Jaume; Rondón, Gabriel 2 2024 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 2 2024 Dynamics of a generalized Rayleigh system. Zbl 07878134 Baldissera, Maíra Duran; Llibre, Jaume; Oliveira, Regilene 1 2024 Characterization of the Riccati and Abel polynomial differential systems having invariant algebraic curves. Zbl 1546.34006 Giné, Jaume; Llibre, Jaume 1 2024 Periodic orbits for an autonomous version of the Duffing-Holmes oscillator. Zbl 07977984 Dong, Guangfeng; Llibre, Jaume 1 2024 Reversible global centres with quintic homogeneous nonlinearities. Zbl 1528.34034 Llibre, Jaume; Valls, Claudia 5 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 4 2023 Polynomial Liénard systems with a nilpotent global center. Zbl 1528.34032 García, Isaac A.; Llibre, Jaume 4 2023 Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries. Zbl 1511.34016 Li, Tao; Llibre, Jaume 3 2023 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 Global phase portraits of the generalized van der Pol systems. Zbl 1518.34039 Llibre, Jaume; Valls, Claudia 2 2023 Zero-Hopf bifurcation in the Chua’s circuit. Zbl 1520.34035 Ginoux, Jean-Marc; Llibre, Jaume 2 2023 On the 16th Hilbert problem for discontinuous piecewise polynomial Hamiltonian systems. Zbl 1544.34048 Li, Tao; Llibre, Jaume 2 2023 The limit cycles of a class of piecewise differential systems. Zbl 07730206 Benabdallah, Imane; Benterki, Rebiha; Llibre, Jaume 2 2023 Existence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation. Zbl 1544.34088 Llibre, Jaume; Novaes, Douglas D.; Valls, Claudia 1 2023 Characterization of the Kukles polynomial differential systems having an invariant algebraic curve. Zbl 1517.34062 Llibre, Jaume; Valls, Claudia 1 2023 Limit cycles of a continuous piecewise differential system formed by a quadratic center and two linear centers. Zbl 1528.34030 Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio 1 2023 On the \(C^1\) non-integrability of the autonomous differential systems. Zbl 1522.34008 Llibre, Jaume 1 2023 The 16th Hilbert problem for discontinuous piecewise linear differential systems separated by the algebraic curve \(y = x^n\). Zbl 1533.34030 Llibre, Jaume; Valls, Claudia 1 2023 Criteria for the nonexistence of periodic orbits in planar differential systems. Zbl 1538.34119 Giné, Jaume; Llibre, Jaume 1 2023 The discontinuous matching of two globally asymptotically stable crossing piecewise smooth systems in the plane do not produce in general a piecewise differential system globally asymptotically stable. Zbl 1533.34046 de Carvalho Braga, Denis; Dias, Fabio Scalco; Llibre, Jaume; Mello, Luis Fernando 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 Phase portraits on the unit sphere of the stretch-twist-fold flow. Zbl 1533.37070 Llibre, Jaume; Valls, Claudia 1 2023 Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line. Zbl 1546.34044 Baymout, Louiza; Benterki, Rebiha; Llibre, Jaume 1 2023 Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3. Zbl 1544.34040 Llibre, J.; Pantazi, C. 1 2023 Nonexistence and uniqueness of limit cycles in a class of three-dimensional piecewise linear differential systems. Zbl 1544.34024 Chen, Ting; Huang, Lihong; Llibre, Jaume 1 2023 Global centers of the generalized polynomial Liénard differential systems. Zbl 1501.34031 Llibre, Jaume; Valls, Claudia 11 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 8 2022 A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. Zbl 1505.34046 Giné, Jaume; Llibre, Jaume 5 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 5 2022 Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. Zbl 1504.34073 Llibre, Jaume; Valls, Claudia 5 2022 Limit cycles in Filippov systems having a circle as switching manifold. Zbl 07872785 Llibre, Jaume; Teixeira, Marco Antonio 4 2022 Global phase portraits of a predator-prey system. Zbl 1499.34270 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 4 2022 Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems. Zbl 1506.34028 Guo, Zhifei; Llibre, Jaume 4 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 3 2022 Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090 Chen, Ting; Llibre, Jaume 3 2022 Phase portraits of the Higgins-Selkov system. Zbl 1492.34056 Llibre, Jaume; Mousavi, Marzieh 3 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 Phase portraits of uniform isochronous centers with homogeneous nonlinearities. Zbl 1498.34089 Llibre, Jaume; Valls, Claudia 2 2022 On the equilateral pentagonal central configurations. Zbl 1513.70041 Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 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 Phase portraits of the Leslie-Gower system. Zbl 1513.34184 Llibre, Jaume; Valls, Claudia 2 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 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 Planar central configurations of some restricted \((4 + 1)\)-body problems. Zbl 1509.70010 Corbera, M.; Llibre, J.; Valls, C. 1 2022 Planar Kolmogorov systems with infinitely many singular points at infinity. Zbl 1502.34039 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 Limit cycles of the discontinuous piecewise differential systems on the cylinder. Zbl 07905850 Li, Jie; Llibre, Jaume 1 2022 Twin polynomial vector fields of arbitrary degree. Zbl 1495.34054 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 On the limit cycle of a Belousov-Zhabotinsky differential systems. Zbl 1538.34181 Llibre, Jaume; Oliveira, Regilene 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 On the limit cycles of a class of discontinuous piecewise differential systems formed by two rigid centers governed by odd degree polynomials. Zbl 1544.34021 Carvalho, Tiago; Gonçalves, Luiz Fernando; Llibre, Jaume 1 2022 Periods of Morse-Smale diffeomorphisms on \(\mathbb{S}^n, \mathbb{S}^m \times \mathbb{S}^n, \mathbb{C}\mathbf{P}^n\) and \(\mathbb{H}\mathbf{P}^n\). Zbl 1493.37021 Cufí-Cabré, Clara; Llibre, Jaume 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 26 2021 The planar discontinuous piecewise linear refracting systems have at most one limit cycle. Zbl 1474.34286 Li, Shimin; Liu, Changjian; Llibre, Jaume 15 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 11 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 9 2021 Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. Zbl 1493.34096 Li, Tao; Llibre, Jaume 7 2021 Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps. Zbl 1479.34056 Alberich-Carramiñana, Maria; Ferragut, Antoni; Llibre, Jaume 7 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 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 6 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 The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems. Zbl 1471.34061 Llibre, Jaume; Valls, Claudia 5 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 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 Phase portraits and bifurcation diagram of the Gray-Scott model. Zbl 1462.34075 Chen, Ting; Li, Shimin; 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 A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. Zbl 1459.14023 Giné, Jaume; Llibre, Jaume 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 Complete integrability of vector fields in \(\mathbb{R}^N\). Zbl 1476.34006 Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 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 Phase portraits of the complex Abel polynomial differential systems. Zbl 1485.34099 Llibre, Jaume; Valls, Claudia 3 2021 A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1467.37024 Llibre, Jaume; Valls, Claudia 3 2021 Rational limit cycles of Abel equations. Zbl 1471.34062 Llibre, Jaume; Valls, Claudia 3 2021 Limit cycles of piecewise differential equations on the cylinder. Zbl 1486.34074 Bakhshalizadeh, Ali; Llibre, Jaume 3 2021 Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 1490.34030 Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 3 2021 Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). Zbl 1490.34038 Li, Tao; Llibre, Jaume 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 \(N\)-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 Polynomial vector fields on the Clifford torus. Zbl 1465.34058 Llibre, Jaume; Murza, Adrian C. 2 2021 Phase portraits of (2;0) reversible vector fields with symmetrical singularities. Zbl 1472.34057 Buzzi, Claudio; Llibre, Jaume; Santana, Paulo 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 Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance. Zbl 1476.34005 Aziz, Waleed; Christopher, Colin; Llibre, Jaume; Pantazi, Chara 2 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 2 2021 On the birth and death of algebraic limit cycles in quadratic differential systems. Zbl 1509.34032 Llibre, Jaume; Oliveira, Regilene; Zhao, Yulin 2 2021 The zero-Hopf bifurcations of a four-dimensional hyperchaotic system. Zbl 1469.37037 Llibre, Jaume; Tian, Yuzhou 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 The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems. Zbl 1489.34083 Llibre, Jaume; Zhang, Xiang 2 2021 The center problem for the class of \(\varLambda-\varOmega\) differential systems. Zbl 1500.34027 Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 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 Vanishing set of inverse Jacobi multipliers and attractor/repeller sets. Zbl 1466.37024 García, Isaac A.; Giné, Jaume; Llibre, Jaume; Maza, Susanna 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 ...and 915 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,178 Authors 789 Llibre, Jaume 256 Valls Anglés, Cláudia 140 Giné, Jaume 100 Zhang, Xiang 96 Han, Maoan 85 Gasull, Armengol 62 Vidal, Claudio 57 Algaba, Antonio 57 Torregrosa, Joan 50 Chen, Hebai 50 García, Isaac A. 45 Teixeira, Marco Antonio 43 García, Cristóbal 42 Novaes, Douglas Duarte 41 Oliveira, Regilene D. S. 40 Romanovskiĭ, Valeriĭ Georgievich 39 Liu, Changjian 36 Ponce, Enrique 35 Mello, Luis Fernando O. 35 Vulpe, Nicolae I. 33 Li, Feng 31 Huang, Wentao 30 Alsedà, Lluís 30 Cánovas, Jose S. 30 Giacomini, Hector J. 30 Xiong, Yanqin 30 Yu, Pei 30 Zhao, Yulin 29 Buzzi, Claudio Aguinaldo 29 Corbera, Montserrat 29 Makhlouf, Amar 28 Li, Shimin 27 Artés, Joan Carles 27 Ferragut, Antoni 27 García Guirao, Juan Luis 27 Grau, Maite 27 Schlomiuk, Dana I. 27 Wu, Yusen 27 Yu, Jiang 26 Da Silva, Paulo Ricardo 26 Tang, Yilei 25 Benterki, Rebiha 25 Liu, Yirong 25 Misiurewicz, Michał 24 Wei, Zhouchao 23 Messias, Marcelo 23 Yang, Jihua 22 Cors, Josep Maria 22 Freire Macías, Emilio 22 Liang, Haihua 22 Pantazi, Chara 22 Pérez-Chavela, Ernesto 22 Prohens, Rafel 21 Chen, Xingwu 21 González-Olivares, Eduardo 20 Alvarez-Ramírez, Martha 20 Chavarriga, Javier 20 Huang, Jianfeng 20 Mañosas, Francesc 20 Oprocha, Piotr 20 Rojas-Palma, Alejandro 20 Xiao, Dongmei 20 Yang, Xiaosong 19 Fernandes, Antonio Carlos 19 Uldall Kristiansen, K. 18 Alvarez, María Jesus 18 Blokh, Alexander M. 17 Andres, Jan 17 Bendjeddou, Ahmed 17 Leonov, Gennadiĭ Alekseevich 17 Reyes, Manuel 17 Shi, Shaoyun 17 Sirvent, Víctor F. 17 Vera, Juan A. 17 Xia, Yonghui 17 Yang, Jiazhong 17 Zhao, Liqin 16 Cen, Xiuli 16 Li, Chengzhi 16 Pessoa, Claudio 16 Ramírez, Rafael O. 16 Teruel, Antonio E. 16 Yang, Junmin 15 Bravo, José Luis 15 Buică, Adriana 15 Carmona, Victoriano 15 de Carvalho, Tiago 15 Demina, Maria V. 15 Dias, Fabio Scalco 15 Kuznetsov, Nikolay Vladimirovich 15 Tian, Yuzhou 15 Zhang, Wei 14 Braun, Francisco 14 Cima, Anna 14 Ginoux, Jean-Marc 14 Huang, Bo 14 Mañosa, Víctor 14 Maza, Susanna 14 Ollé, Mercè 14 Rodríguez-Luis, Alejandro J. ...and 3,078 more Authors all top 5 Cited in 407 Serials 377 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 310 Journal of Differential Equations 222 Qualitative Theory of Dynamical Systems 207 Journal of Mathematical Analysis and Applications 109 Celestial Mechanics and Dynamical Astronomy 100 Physica D 99 Chaos, Solitons and Fractals 91 Nonlinear Dynamics 84 Communications in Nonlinear Science and Numerical Simulation 81 Nonlinear Analysis. 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Hybrid Systems 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 Mathematical Physics, Analysis and Geometry 9 Communications in Contemporary Mathematics 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 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. 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Mathematical Analysis 6 Journal of Applied Mathematics ...and 307 more Serials all top 5 Cited in 61 Fields 2,833 Ordinary differential equations (34-XX) 1,832 Dynamical systems and ergodic theory (37-XX) 646 Mechanics of particles and systems (70-XX) 274 Biology and other natural sciences (92-XX) 132 General topology (54-XX) 96 Partial differential equations (35-XX) 80 Systems theory; control (93-XX) 67 Operator theory (47-XX) 66 Numerical analysis (65-XX) 55 Global analysis, analysis on manifolds (58-XX) 53 Algebraic geometry (14-XX) 50 Difference and functional equations (39-XX) 50 Differential geometry (53-XX) 48 Relativity and gravitational theory (83-XX) 44 Algebraic topology (55-XX) 42 Manifolds and cell complexes (57-XX) 39 Computer science (68-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Information and communication theory, circuits (94-XX) 35 Real functions (26-XX) 32 Probability theory and stochastic processes (60-XX) 31 Fluid mechanics (76-XX) 31 Astronomy and astrophysics (85-XX) 30 Several complex variables and analytic spaces (32-XX) 25 Commutative algebra (13-XX) 22 Quantum theory (81-XX) 19 Measure and integration (28-XX) 19 Functions of a complex variable (30-XX) 19 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) 12 Mechanics of deformable solids (74-XX) 11 Functional analysis (46-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 8 Nonassociative rings and algebras (17-XX) 8 Special functions (33-XX) 7 Mathematical logic and foundations (03-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Statistics (62-XX) 5 Topological groups, Lie groups (22-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-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 \(K\)-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. 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