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 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: 1,132 Publications since 1980, including 13 Books 14 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 327 Co-Authors with 1,104 Joint Publications 4,767 Co-Co-Authors all top 5 Co-Authors 38 single-authored 193 Valls Anglés, Cláudia 58 Giné, Jaume 47 Zhang, Xiang 42 Teixeira, Marco Antonio 39 Artés, Joan Carles 34 Corbera, Montserrat 25 García Guirao, Juan Luis 21 Vulpe, Nicolae I. 20 Alsedà, Lluís 20 Pantazi, Chara 19 Gasull, Armengol 19 Makhlouf, Amar 19 Novaes, Douglas Duarte 19 Ramírez, Rafael O. 17 Lacomba, Ernesto A. 17 Li, Weigu 16 Buzzi, Claudio Aguinaldo 15 Da Silva, Paulo Ricardo 15 Li, Chengzhi 15 Pérez-Chavela, Ernesto 15 Schlomiuk, Dana I. 14 Cairó, Laurent 14 Chavarriga, Javier 14 Ferragut, Antoni 14 Ponce, Enrique 14 Vidal, Claudio 13 García, Isaac A. 13 Giacomini, Hector J. 13 Ginoux, Jean-Marc 13 Medrado, João C. R. 13 Oliveira, Regilene D. S. 13 Pérez del Río, Jesús S. 13 Sirvent, Víctor F. 12 Benterki, Rebiha 12 Cors, Josep Maria 12 Li, Shimin 12 Messias, Marcelo 12 Misiurewicz, Michał 11 Buică, Adriana 11 Christopher, Colin J. 11 Grau, Maite 11 Yu, Jiang 11 Zhang, Zhifen 10 Cima, Anna 10 Mello, Luis Fernando O. 10 Ramírez, Valentín 10 Rodríguez, José Angel 10 Simó, Carles 9 Barreira, Luis Manuel 9 Coll, Bartomeu 9 García, Belén 9 Mahdi, Adam 9 Mereu, Ana Cristina 9 Sadovskaia, Natalia 9 Torregrosa, Joan 9 Walcher, Sebastian 8 Cândido, Murilo R. 8 Casasayas, Josefina 8 Delgado, Joaquín F. 8 Itikawa, Jackson 8 Martínez, Y. Paulina 8 Salhi, Tayeb 8 Sotomayor, Jorge 8 Tonon, Durval José 7 de Moraes, Jaime R. 7 Jarque, Xavier 7 Lopes, Bruno Domeniciano 7 Maza, Susanna 7 Pessoa, Claudio 7 Roberto, Luci Any F. 6 Chen, Ting 6 Colak, Ilker E. 6 de Carvalho, Tiago 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 Wu, Hao 5 Alvarez-Ramírez, Martha 5 Alvarez, Martha R. 5 Bolaños, Yudy 5 Gouveia, Márcio R. Alves 5 Paraños, José 5 Paşca, Daniel 5 Rodrigues, Camila Ap. B. 5 Silva Lima, Mauricio Firmino 5 Świrszcz, Grzegorz M. 5 Teruel, Antonio E. 5 Tian, Yuzhou 5 Vera, Juan A. 5 Viano, Mireille 4 Baldwin, Stewart L. 4 Blé, Gamaliel 4 Braun, Francisco 4 Castellanos, Víctor 4 Chen, Xingwu 4 Dias, Fabio Scalco ...and 227 more Co-Authors all top 5 Serials 78 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 76 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 25 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 Discrete and Continuous Dynamical Systems 19 Journal of Geometry and Physics 19 Rendiconti del Circolo Matemàtico di Palermo. Serie II 19 Journal of Dynamics and Differential Equations 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 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 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 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 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Dynamical and Control Systems 7 São Paulo Journal of Mathematical Sciences 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 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 Differential Equations and Dynamical Systems 5 Chaos 5 Acta Mathematica Sinica. English Series 5 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 5 Mediterranean Journal of Mathematics 4 Archive for Rational Mechanics and Analysis 4 Mathematical Methods in the Applied Sciences 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 Journal of Applied Analysis and Computation 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 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 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 Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Topology 2 Radovi Matematički 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana 2 European Journal of Applied Mathematics ...and 69 more Serials all top 5 Fields 836 Ordinary differential equations (34-XX) 439 Dynamical systems and ergodic theory (37-XX) 178 Mechanics of particles and systems (70-XX) 47 Biology and other natural sciences (92-XX) 36 General topology (54-XX) 25 Operator theory (47-XX) 21 Relativity and gravitational theory (83-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Algebraic topology (55-XX) 14 General and overarching topics; collections (00-XX) 12 Partial differential equations (35-XX) 10 Astronomy and astrophysics (85-XX) 9 Algebraic geometry (14-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) 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 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 Combinatorics (05-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 909 Publications have been cited 9,910 times in 3,653 Documents Cited by ▼ Year ▼ Qualitative theory of planar differential systems. Zbl 1110.34002Dumortier, Freddy; Llibre, Jaume; Artés, Joan C. 495 2006 Averaging methods for finding periodic orbits via Brouwer degree. Zbl 1055.34086Buică, Adriana; Llibre, Jaume 174 2004 Combinatorial dynamics and entropy in dimension one. 2nd ed. Zbl 0963.37001Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał 131 2000 Three nested limit cycles in discontinuous piecewise linear differential systems with two zones. Zbl 1268.34061Llibre, Jaume; Ponce, Enrique 111 2012 Multiplicity of invariant algebraic curves in polynomial vector fields. Zbl 1160.34003Christopher, Colin; Llibre, Jaume; Pereira, Jorge Vitório 108 2007 On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087Giacomini, H.; Llibre, J.; Viano, M. 105 1996 Combinatorial dynamics and entropy in dimension one. Zbl 0843.58034Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 87 1993 On the integrability of two-dimensional flows. Zbl 0940.37005Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 81 1999 Averaging theory for discontinuous piecewise differential systems. Zbl 1347.37097Llibre, Jaume; Mereu, Ana C.; Novaes, Douglas D. 80 2015 Limit cycles for a class of Abel equations. Zbl 0732.34025Gasull, A.; Llibre, J. 77 1990 Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 75 2014 Integrability via invariant algebraic curves for planar polynomial differential systems. Zbl 0974.34005Christopher, Colin; Llibre, Jaume 70 2000 Local analytic integrability for nilpotent centers. Zbl 1037.34025Chavarriga, Javier; Giacomin, Hector; Giné, Jaume; Llibre, Jaume 68 2003 Limit cycles for discontinuous quadratic differential systems with two zones. Zbl 1318.34049Llibre, Jaume; Mereu, Ana C. 66 2014 Bounded polynomial vector fields. Zbl 0695.34028Cima, Anna; Llibre, Jaume 65 1990 The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems. Zbl 1111.34026Giacomini, Hector; Giné, Jaume; Llibre, Jaume 65 2006 Darboux integrability and the inverse integrating factor. Zbl 1043.34001Chavarriga, Javier; Giacomini, Hector; Giné, Jaume; Llibre, Jaume 65 2003 Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume 64 2007 On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. Zbl 1293.34047Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique 64 2013 Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity. Zbl 1163.34003Llibre, Jaume; Zhang, Xiang 62 2009 Limit cycles of the generalized polynomial Liénard differential equations. Zbl 1198.34051Llibre, Jaume; Mereu, Ana Cristina; Teixeira, Marco Antonio 62 2010 Algebraic and topological classification of the homogeneous cubic vector fields in the plane. Zbl 0711.34061Cima, Anna; Llibre, Jaume 61 1990 Maximum number of limit cycles for certain piecewise linear dynamical systems. Zbl 1348.34065Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 61 2015 Horseshoes, entropy and periods for graph maps. Zbl 0787.54021Llibre, Jaume; Misiurewicz, Michał 59 1993 On the birth of limit cycles for non-smooth dynamical systems. Zbl 1407.37080Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 59 2015 Averaging analysis of a perturbated quadratic center. Zbl 0992.34024Llibre, Jaume; Pérez del Río, Jesús S.; Rodríguez, José Angel 56 2001 Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation. Zbl 1270.34018Llibre, J.; Teixeira, M. A.; Torregrosa, J. 51 2013 Invariant algebraic surfaces of the Lorenz system. Zbl 1059.34005Llibre, Jaume; Zhang, Xiang 51 2002 Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation. Zbl 1127.34003Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A. 49 2007 Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 49 2001 Integrability of polynomial differential systems. Zbl 1088.34022Llibre, Jaume 49 2004 Uniqueness of limit cycles for Liénard differential equations of degree four. Zbl 1248.34035Li, Chengzhi; Llibre, Jaume 47 2012 A unified proof of the weakened Hilbert 16th problem for \(n=2\). Zbl 1098.34024Chen, Fengde; Li, Chengzhi; Llibre, Jaume; Zhang, Zenghua 46 2006 On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities. Zbl 1158.34020Llibre, Jaume; Ponce, Enrique; Torres, Francisco 44 2008 Global dynamics of the Rikitake system. Zbl 1162.37017Llibre, Jaume; Messias, Marcelo 42 2009 Limit cycles of cubic polynomial vector fields via the averaging theory. Zbl 1127.34025Giné, Jaume; Llibre, Jaume 42 2007 Configurations of limit cycles and planar polynomial vector fields. Zbl 1055.34061Llibre, Jaume; Rodríguez, Gerardo 42 2004 Piecewise linear differential systems with two real saddles. Zbl 07312523Artés, Joan C.; Llibre, Jaume; Medrado, Joao C.; Teixeira, Marco A. 41 2014 On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line. Zbl 1309.34039Euzébio, Rodrigo D.; Llibre, Jaume 41 2015 Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010Llibre, Jaume; Simó, Carles 41 1980 Polynomial first integrals for quasi-homogeneous polynomials differential systems. Zbl 1024.34001Llibre, Jaume; Zhang, Xiang 41 2002 Limit cycles of a perturbed cubic polynomial differential center. Zbl 1298.34061Buică, Adriana; Llibre, Jaume 40 2007 Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity. Zbl 0699.58049Llibre, J.; Mackay, R. S. 39 1991 Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differentiable center with two zones. Zbl 1327.34067Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A. 39 2015 Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity. Zbl 1198.34054Llibre, Jaume; Zhang, Xiang 38 2009 Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem. Zbl 0594.70013Llibre, Jaume; Martínez, Regina; Simó, Carles 37 1985 On the global dynamics of the Rabinovich system. Zbl 1147.37023Llibre, Jaume; Messias, Marcelo; da Silva, Paulo R. 37 2008 The geometry of quadratic differential systems with a weak focus of second order. Zbl 1124.34014Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana 36 2006 Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A. 36 2009 Entropy and periodic points for transitive maps. Zbl 0913.58034Alsedà, Ll.; Kolyada, S.; Llibre, J.; Snoha, Ľ. 36 1999 Quadratic Hamiltonian vector fields. Zbl 0791.34048Artés, Joan C.; Llibre, Jaume 35 1994 Piecewise linear differential systems with only centers can create limit cycles? Zbl 1390.34081Llibre, Jaume; Teixeira, Marco Antonio 35 2018 The geometry of quadratic differential systems with a weak focus of third order. Zbl 1058.34034Llibre, Jaume; Schlomiuk, Dana 35 2004 On the shape of limit cycles that bifurcate from Hamiltonian centers. Zbl 0954.34022Giacomini, Hector; Llibre, Jaume; Viano, Mireille 34 2000 The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems. Zbl 1380.34030Castillo, Juan; Llibre, Jaume; Verduzco, Fernando 33 2017 On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011Belbruno, Edward; Llibre, Jaume; Ollé, Mercè 33 1994 Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen 32 2009 New central configurations for the planar 5-body problem. Zbl 1251.70012Llibre, Jaume; Mello, Luis Fernando 32 2008 Averaging theory at any order for computing periodic orbits. Zbl 1267.34073Giné, Jaume; Grau, Maite; Llibre, Jaume 32 2013 Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\). Zbl 1190.34003Llibre, Jaume; Zhang, Xiang 32 2010 Horseshoes near homoclinic orbits for piecewise linear differential systems in \(\mathbb R^3\). Zbl 1185.37048Llibre, Jaume; Ponce, Enrique; Teruel, Antonio E. 31 2007 On the limit cycles of polynomial vector fields. Zbl 1223.34039Llibre, J.; Świrszcz, G. 30 2011 Liouvillian first integrals for the planar Lotka-Volterra system. Zbl 1194.34014Giacomini, Hector; Cairó, Laurent; Llibre, Jaume 30 2003 Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1303.34027Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 30 2014 Local first integrals of differential systems and diffeomorphisms. Zbl 1043.37010Li, Weigu; Llibre, Jaume; Zhang, Xiang 30 2003 Weak focus, limit cycles, and bifurcations for bounded quadratic systems. Zbl 0823.34043Li, Chengzhi; Llibre, Jaume; Zhang, Zhifen 29 1995 Periodic orbits of maps of \(Y\). Zbl 0803.54032Alsedà, Lluis; Llibre, Jaume; Misiurewicz, Michał 29 1989 On the Darboux integrability of polynomial differential systems. Zbl 1266.34002Llibre, Jaume; Zhang, Xiang 29 2012 Introduction to the qualitative theory of differential systems. Planar, symmetric and continuous piecewise linear systems. Zbl 1286.34001Llibre, Jaume; Teruel, Antonio E. 29 2014 Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center. Zbl 1411.34030Llibre, Jaume; Zhang, Xiang 29 2018 Counterexample to Kalman and Markus-Yamabe conjectures in larger than 3. Zbl 0889.34047Bernat, Josep; Llibre, Jaume 29 1996 Darboux integrability for 3D Lotka-Volterra systems. Zbl 0953.34037Cairó, Laurent; Llibre, Jaume 29 2000 Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones. Zbl 1378.34066Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. 28 2017 A new result on averaging theory for a class of discontinuous planar differential systems with applications. Zbl 1386.34081Itikawa, Jackson; Llibre, Jaume; Novaes, Douglas Duarte 28 2017 Phase portraits of planar control systems. Zbl 0858.93037Llibre, Jaume; Sotomayor, Jorge 28 1996 Global dynamics of the Lorenz system with invariant algebraic surfaces. Zbl 1204.34069Llibre, Jaume; Messias, Marcelo; Da Silva, Paulo Ricardo 27 2010 A class of reversible cubic systems with an isochronous center. Zbl 0982.34024Cairó, L.; Chavarriga, J.; Giné, J.; Llibre, J. 27 1999 Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry. Zbl 1331.34042Llibre, Jaume; Ponce, Enrique; Valls, Clàudia 27 2015 The focus-centre problem for a type of degenerate system. Zbl 0962.34067Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc 26 2000 Uniqueness of algebraic limit cycles for quadratic systems. Zbl 0995.34024Chavarriga, Javier; Giacomini, Hector; Llibre, Jaume 26 2001 Invariant algebraic surfaces of the Rikitake system. Zbl 0967.34002Llibre, Jaume; Zhang, Xiang 26 2000 Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037Llibre, Jaume; Xiao, Dongmei 26 2014 Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations. Zbl 1323.34042Llibre, Jaume; Teixeira, Marco Antonio 25 2015 Minimal sets of periods for torus maps via Nielsen numbers. Zbl 0843.55004Alsedà, Lluís; Baldwin, Stewart; Llibre, Jaume; Swanson, R.; Szlenk, W. 25 1995 Minimal sets of periods for torus maps. Zbl 0965.37019Jiang, Boju; Llibre, Jaume 25 1998 Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres. Zbl 0999.34032Li, Chengzhi; Li, Weigu; Llibre, Jaume; Zhang, Zhifen 25 2000 First integrals of local analytic differential systems. Zbl 1245.34004Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian 24 2012 Chordal quadratic systems. Zbl 0609.34040Gasull, Armengol; Sheng, Li-Ren; Llibre, Jaume 24 1986 On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume 24 1998 The shape of limit cycles that bifurcate from non-Hamiltonian centers. Zbl 0999.34028Giacomini, Hector; Llibre, Jaume; Viano, Mireille 24 2001 Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2. Zbl 1189.34065Cairó, Laurent; Llibre, Jaume 24 2007 New stacked central configurations for the planar 5-body problem. Zbl 1270.70039Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto 23 2011 Planar quasi-homogeneous polynomial differential systems and their integrability. Zbl 1336.34003García, Belén; Llibre, Jaume; Pérez del Río, Jesús S. 23 2013 Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028Coll, B.; Gasull, A.; Llibre, J. 23 1987 Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems. Zbl 1325.34002Llibre, Jaume; Valls, Clàudia 23 2011 Periodic points of holomorphic maps via Lefschetz numbers. Zbl 0947.55001Fagella, Núria; Llibre, Jaume 23 2000 Darboux integrability and invariant algebraic curves for planar polynomial systems. Zbl 1012.34035Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Zhang, Xiang 23 2002 Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields. Zbl 1307.34060Colak, Ilker E.; Llibre, Jaume; Valls, Claudia 23 2014 Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor. Zbl 1011.34029Viano, Mireille; Llibre, Jaume; Giacomini, Hector 23 2002 Sliding vector fields via slow-fast systems. Zbl 1166.34001Llibre, Jaume; Teixeira, Marco A.; da Silva, Paulo R. 23 2008 Limit cycles of continuous piecewise differential systems separated by a parabola and formed by a linear center and a quadratic center. Zbl 1512.34069Llibre, Jaume 1 2023 On a class of global centers of linear systems with quintic homogeneous nonlinearities. Zbl 1521.34031García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 1 2023 Melnikov functions of arbitrary order for piecewise smooth differential systems in \(\mathbb{R}^n\) and applications. Zbl 1495.34026Chen, Xingwu; Li, Tao; Llibre, Jaume 3 2022 Phase portraits of the Higgins-Selkov system. Zbl 1492.34056Llibre, Jaume; Mousavi, Marzieh 2 2022 Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations. Zbl 1500.34028Llibre, Jaume; Valls, Claudia 1 2022 Global centers of the generalized polynomial Liénard differential systems. Zbl 1501.34031Llibre, Jaume; Valls, Claudia 1 2022 Limit cycles of piecewise differential systems with linear Hamiltonian saddles and linear centres. Zbl 1504.34073Llibre, Jaume; Valls, Claudia 1 2022 On the equilateral pentagonal central configurations. Zbl 1513.70041Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 1 2022 The cyclicity of the period annulus of a reversible quadratic system. Zbl 1508.34030Liu, Changjian; Li, Chengzhi; Llibre, Jaume 1 2022 Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I. Zbl 1497.34056Ghermoul, Bilal; Llibre, Jaume; Salhi, Tayeb 1 2022 Nilpotent center in a continuous piecewise quadratic polynomial Hamiltonian vector field. Zbl 1510.37090Chen, Ting; Llibre, Jaume 1 2022 A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves. Zbl 1505.34046Giné, Jaume; Llibre, Jaume 1 2022 Geometric configurations of singularities of planar polynomial differential systems. A global classification in the quadratic case. Zbl 1493.37001Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 15 2021 The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves I. Zbl 1477.34035Benterki, Rebiha; Llibre, Jaume 9 2021 The planar discontinuous piecewise linear refracting systems have at most one limit cycle. Zbl 1474.34286Li, Shimin; Liu, Changjian; Llibre, Jaume 7 2021 The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line. Zbl 1470.34085Esteban, M.; Llibre, J.; Valls, C. 5 2021 Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary. Zbl 1493.34096Li, Tao; Llibre, Jaume 5 2021 Polynomial differential systems with even degree have no global centers. Zbl 1480.34044Llibre, Jaume; Valls, Claudia 4 2021 Rational limit cycles of Abel equations. Zbl 1471.34062Llibre, Jaume; Valls, Claudia 3 2021 Phase portraits of a family of Kolmogorov systems depending on six parameters. Zbl 1462.34049Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 3 2021 Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point. Zbl 1471.58038Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 2 2021 Planar Kolmogorov systems coming from spatial Lotka-Volterra systems. Zbl 1490.34030Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria 2 2021 The zero-Hopf bifurcations in the Kolmogorov systems of degree 3 in \(\mathbb{R}^3\). Zbl 1461.34061Diz-Pita, Érika; Llibre, Jaume; Otero-Espinar, M. Victoria; Valls, Claudia 2 2021 A new sufficient condition in order that the real Jacobian conjecture in \(\mathbb{R}^2\) holds. Zbl 1459.14023Giné, Jaume; Llibre, Jaume 2 2021 Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system. Zbl 1481.37071Llibre, Jaume; Saeed, Tareq; Zotos, Euaggelos E. 2 2021 The Markus-Yamabe conjecture does not hold for discontinuous piecewise linear differential systems separated by one straight line. Zbl 1480.34074Llibre, Jaume; de A. S. Menezes, Lucyjane 2 2021 Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles. Zbl 1468.34021Anacleto, Maria Elisa; Llibre, Jaume; Valls, Claudia; Vidal, Claudio 2 2021 A survey on algebraic and explicit non-algebraic limit cycles in planar differential systems. Zbl 1481.34041Llibre, Jaume; Zhang, Xiang 2 2021 Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics. Zbl 1488.34226Benterki, Rebiha; Jimenez, Jeidy; Llibre, Jaume 2 2021 The extended 16th Hilbert problem for discontinuous piecewise linear centers separated by a nonregular line. Zbl 1490.34036Esteban, Marina; Llibre, Jaume; Valls, Claudia 2 2021 Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibrium points and separated by irreducible cubics. Zbl 1479.34077Belfar, Ahlam; Benterki, Rebiha; Llibre, Jaume 2 2021 Complete integrability of vector fields in \(\mathbb{R}^N\). Zbl 1476.34006Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 1 2021 Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps. Zbl 1479.34056Alberich-Carramiñana, Maria; Ferragut, Antoni; Llibre, Jaume 1 2021 The Markus-Yamabe conjecture for continuous and discontinuous piecewise linear differential systems. Zbl 1489.34083Llibre, Jaume; Zhang, Xiang 1 2021 The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems. Zbl 1471.34061Llibre, Jaume; Valls, Claudia 1 2021 Phase portraits and bifurcation diagram of the Gray-Scott model. Zbl 1462.34075Chen, Ting; Li, Shimin; Llibre, Jaume 1 2021 Global dynamics and bifurcation of periodic orbits in a modified Nosé-Hoover oscillator. Zbl 1475.37057Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C. 1 2021 Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces. Zbl 1476.37032Llibre, Jaume; Tian, Yuzhou 1 2021 A sufficient condition for the real Jacobian conjecture in \(\mathbb{R}^2\). Zbl 1467.37024Llibre, Jaume; Valls, Claudia 1 2021 Limit cycles of piecewise differential equations on the cylinder. Zbl 1486.34074Bakhshalizadeh, Ali; Llibre, Jaume 1 2021 Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). Zbl 1490.34038Li, Tao; Llibre, Jaume 1 2021 The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055Llibre, Jaume; Paşca, Daniel; Valls, Claudià 1 2021 \(N\)-dimensional zero-Hopf bifurcation of polynomial differential systems via averaging theory of second order. Zbl 1477.34062Kassa, S.; Llibre, J.; Makhlouf, A. 1 2021 Global topological configurations of singularities for the whole family of quadratic differential systems. Zbl 1433.58030Artés, Joan C.; Llibre, Jaume; Schlomiuk, Dana; Vulpe, Nicolae 13 2020 Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. Zbl 1453.34047da Fonseca, Alexander Fernandes; Llibre, Jaume; Mello, Luis Fernando 9 2020 Non-existence, existence, and uniqueness of limit cycles for a generalization of the van der Pol-Duffing and the Rayleigh-Duffing oscillators. Zbl 1496.34062Cândido, Murilo R.; Llibre, Jaume; Valls, Claudia 8 2020 Phase portraits of planar piecewise linear refracting systems: focus-saddle case. Zbl 1457.34046Li, Shimin; Llibre, Jaume 7 2020 Strongly formal Weierstrass non-integrability for polynomial differential systems in \(\mathbb{C}^2\). Zbl 1449.34001Giné, Jaume; Llibre, Jaume 7 2020 Crossing limit cycles for a class of piecewise linear differential centers separated by a conic. Zbl 1452.34025Jimenez, Johana; Llibre, Jaume; Medrado, João C. 6 2020 Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. Zbl 1479.34057Cardoso, João L.; Llibre, Jaume; Novaes, Douglas D.; Tonon, Durval J. 6 2020 \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields. Zbl 1471.37056Chen, Ting; Li, Shimin; Llibre, Jaume 6 2020 Limit cycles bifurcating of Kolmogorov systems in \(\mathbb{R}^2\) and in \(\mathbb{R}^3\). Zbl 1457.37067Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 5 2020 Formal Weierstrass nonintegrability criterion for some classes of polynomial differential systems in \(\mathbb{C}^2\). Zbl 1446.34001Giné, Jaume; Llibre, Jaume 5 2020 Linear type global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1479.34059García-Saldaña, Johanna D.; Llibre, Jaume; Valls, Claudia 5 2020 Integrability and zero-Hopf bifurcation in the Sprott A system. Zbl 1450.34018Barreira, Luis; Llibre, Jaume; Valls, Claudia 4 2020 Crossing limit cycles for piecewise linear differential centers separated by a reducible cubic curve. Zbl 1463.34141Jimenez, Jeidy; Llibre, Jaume; Medrado, Joao 4 2020 Nilpotent global centers of linear systems with cubic homogeneous nonlinearities. Zbl 1436.34027García-Saldaña, J. D.; Llibre, Jaume; Valls, Claudia 4 2020 Bifurcations from families of periodic solutions in piecewise differential systems. Zbl 1500.34031Llibre, Jaume; Novaes, Douglas D.; Rodrigues, Camila A. B. 4 2020 Final evolutions of a class of May-Leonard Lotka-Volterra systems. Zbl 1436.34059Buzzi, Claudio A.; Santos, Robson A. T.; Llibre, Jaume 3 2020 Global dynamics of a Lotka-Volterra system in \(\mathbb{R}^3\). Zbl 1436.37027Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 3 2020 Phase portraits of Bernoulli quadratic polynomial differential systems. Zbl 1457.34047Llibre, Jaume; Pereira, Weber F.; Pessoa, Claudio 3 2020 On the configurations of the singular points and their topological indices for the spatial quadratic polynomial differential systems. Zbl 1454.34055Llibre, Jaume; Valls, Claudia 3 2020 Dynamics of a competitive Lotka-Volterra systems in \(\mathbb{R}^3\). Zbl 1467.34050Llibre, Jaume; Martínez, Y. Paulina 3 2020 The centers and their cyclicity for a class of polynomial differential systems of degree 7. Zbl 1430.34043Benterki, Rebiha; Llibre, Jaume 2 2020 Dynamics of a family of Lotka-Volterra systems in \(\mathbb{R}^3\). Zbl 1451.37025Llibre, Jaume; Martínez, Y. Paulina 2 2020 Zero-Hopf periodic orbits for a Rössler differential system. Zbl 1453.34058Llibre, Jaume; Makhlouf, Ammar 2 2020 Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems. Zbl 1441.34029Llibre, Jaume; Novaes, Douglas D.; Zeli, Iris O. 2 2020 Centers of planar generalized Abel equations. Zbl 1451.34031Llibre, Jaume; Valls, Clàudia 2 2020 Qualitative study of a model with Rastall gravity. Zbl 1479.83284Llibre, Jaume; Pantazi, Chara 1 2020 Zero-Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium. Zbl 1465.34054Llibre, Jaume; Messias, Marcelo; de Carvalho Reinol, Alisson 1 2020 On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula. Zbl 1461.34052Llibre, Jaume; Valls, Claudia 1 2020 Canard limit cycles for piecewise linear Liénard systems with three zones. Zbl 1460.34025Li, Shimin; Llibre, Jaume 1 2020 Bounded polynomial vector fields in \(\mathbb{R}^2\) and \(\mathbb{R}^n\). Zbl 1436.34024Barreira, Luis; Llibre, Jaume; Valls, Claudia 1 2020 On the global dynamics of a three-dimensional forced-damped differential system. Zbl 1436.34028Llibre, Jaume; Martínez, Y. Paulina; Valls, Claudia 1 2020 Periodic orbits of the two fixed centers problem with a variational gravitational field. Zbl 1448.70019Gao, Fabao; Llibre, Jaume 1 2020 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory. Zbl 1474.34281Feddaoui, Amina; Llibre, Jaume; Makhlouf, Amar 1 2020 Existence of periodic solutions for a class of second order ordinary differential equations. Zbl 1494.34119Garcia, Antonio; Llibre, Jaume 1 2020 Orbitally universal centers. Zbl 1511.34038Algaba, Antonio; García, Cristóbal; Giné, Jaume; Llibre, Jaume 1 2020 On the polynomial solutions of the polynomial differential equations \({y \; y}' = a_0(x) + a_1(x) y + a_2(x) y^2 + \ldots + a_n(x) y^{n}\). Zbl 1450.34006Ferragut, Antoni; Llibre, Jaume 1 2020 On a conjecture on the integrability of Liénard systems. Zbl 1483.34008Llibre, Jaume; Murza, Adrian C.; Valls, Claudia 1 2020 On the limit cycles of a class of discontinuous piecewise linear differential systems. Zbl 1441.34028Llibre, Jaume; Menezes, Lucyjane de A. S. 1 2020 Limit cycles for two classes of control piecewise linear differential systems. Zbl 1457.37068Llibre, Jaume; Oliveira, Regilene D.; Rodrigues, Camila Ap. B. 1 2020 Integrability of a class of \(N\)-dimensional Lotka-Volterra and Kolmogorov systems. Zbl 1443.34005Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 1 2020 Periodic solutions for a class of non-autonomous Newton differential equations. Zbl 1446.37030Llibre, Jaume; Makhlouf, Amar 1 2020 Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates. Zbl 1491.37056Buzzi, Claudio; Llibre, Jaume; Santana, Paulo 1 2020 Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center. Zbl 1478.34040Llibre, Jaume; Tang, Yilei 20 2019 Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line. Zbl 1412.34111Li, Shimin; Llibre, Jaume 19 2019 Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold. Zbl 1423.34034Bastos, Jéfferson L. R.; Buzzi, Claudio A.; Llibre, Jaume; Novaes, Douglas D. 19 2019 Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve. Zbl 1414.34023Llibre, Jaume; Zhang, Xiang 16 2019 Limit cycles created by piecewise linear centers. Zbl 1506.34047Llibre, Jaume; Zhang, Xiang 8 2019 Trapezoid central configurations. Zbl 1428.70022Corbera, Montserrat; Cors, Josep M.; Llibre, Jaume; Pérez-Chavela, Ernesto 7 2019 Two limit cycles in Liénard piecewise linear differential systems. Zbl 1481.34040Llibre, Jaume; Ponce, Enrique; Valls, Clàudia 7 2019 Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4. Zbl 1406.34062Benterki, Rebiha; Llibre, Jaume 5 2019 An inverse approach to the center problem. Zbl 1423.34032Llibre, Jaume; Ramírez, Rafael; Ramírez, Valentín 5 2019 Phase portraits of continuous piecewise linear Liénard differential systems with three zones. Zbl 1448.34070Li, Shimin; Llibre, Jaume 4 2019 Cyclicity of \((1,3)\)-switching FF type equilibria. Zbl 1430.34053Chen, Xingwu; Llibre, Jaume; Zhang, Weinian 4 2019 Canards existence in the Hindmarsh-Rose model. Zbl 1423.34074Ginoux, Jean-Marc; Llibre, Jaume; Tchizawa, Kiyoyuki 4 2019 Periodic orbits for the perturbed planar circular restricted 3-body problem. Zbl 1446.70020Abouelmagd, Elbaz I.; García Guirao, Juan Luis; Llibre, Jaume 4 2019 On the limit cycles of planar discontinuous piecewise linear differential systems with a unique equilibrium. Zbl 1430.34038Li, Shimin; Llibre, Jaume 3 2019 The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems. Zbl 1430.34039Llibre, Jaume; Zhang, Xiang 3 2019 ...and 809 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,711 Authors 711 Llibre, Jaume 230 Valls Anglés, Cláudia 126 Giné, Jaume 86 Han, Maoan 82 Gasull, Armengol 81 Zhang, Xiang 55 Algaba, Antonio 55 Torregrosa, Joan 49 Vidal, Claudio 44 García, Isaac A. 42 García, Cristóbal 42 Teixeira, Marco Antonio 38 Novaes, Douglas Duarte 38 Oliveira, Regilene D. S. 38 Romanovskiĭ, Valeriĭ Georgievich 37 Zhao, Yulin 35 Chen, Hebai 35 Ponce, Enrique 32 Vulpe, Nicolae I. 30 Giacomini, Hector J. 30 Mello, Luis Fernando O. 29 Alsedà, Lluís 27 Buzzi, Claudio Aguinaldo 27 Cánovas, Jose S. 27 Corbera, Montserrat 27 Ferragut, Antoni 27 Li, Feng 27 Liu, Changjian 26 Li, Shimin 25 García Guirao, Juan Luis 25 Schlomiuk, Dana I. 25 Tang, Yilei 25 Xiong, Yanqin 25 Yu, Pei 24 Artés, Joan Carles 24 Grau, Maite 24 Liu, Yirong 23 Wu, Yusen 22 Freire Macías, Emilio 22 Liang, Haihua 22 Prohens, Rafel 22 Yu, Jiang 21 Da Silva, Paulo Ricardo 21 Huang, Wentao 21 Messias, Marcelo 21 Misiurewicz, Michał 21 Pérez-Chavela, Ernesto 20 Chen, Xingwu 20 Makhlouf, Amar 20 Wei, Zhouchao 20 Yang, Jihua 19 Chavarriga, Javier 19 Cors, Josep Maria 19 Mañosas, Francesc 19 Pantazi, Chara 18 Fernandes, Antonio Carlos 18 González-Olivares, Eduardo 18 Huang, Jianfeng 18 Pessoa, Claudio 18 Rojas-Palma, Alejandro 17 Alvarez, María Jesus 17 Oprocha, Piotr 17 Xiao, Dongmei 17 Yang, Xiaosong 16 Alvarez-Ramírez, Martha 16 Andres, Jan 16 Blokh, Alexander M. 16 Leonov, Gennadiĭ Alekseevich 16 Reyes, Manuel 16 Sirvent, Víctor F. 16 Vera, Juan A. 16 Zhao, Liqin 15 Bendjeddou, Ahmed 15 Buică, Adriana 15 Kuznetsov, Nikolay Vladimirovich 15 Li, Chengzhi 15 Ramírez, Rafael O. 14 Benterki, Rebiha 14 Bravo, José Luis 14 Carmona, Victoriano 14 Mañosa, Víctor 14 Torres Peral, Francisco 14 Uldall Kristiansen, K. 14 Xia, Yonghui 14 Yang, Jiazhong 13 Cen, Xiuli 13 Cima, Anna 13 Fernández-Sánchez, Fernando 13 Maza, Susanna 13 Medrado, João C. R. 13 Mereu, Ana Cristina 13 Rodríguez-Luis, Alejandro J. 13 M-Seara, Tere 13 Walcher, Sebastian 13 Zhang, Weinian 12 Cândido, Murilo R. 12 Demina, Maria V. 12 Dumortier, Freddy 12 Graff, Grzegorz 12 Jeffrey, Mike R. ...and 2,611 more Authors all top 5 Cited in 364 Serials 322 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 279 Journal of Differential Equations 198 Journal of Mathematical Analysis and Applications 190 Qualitative Theory of Dynamical Systems 100 Celestial Mechanics and Dynamical Astronomy 98 Chaos, Solitons and Fractals 89 Nonlinear Dynamics 83 Physica D 79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Journal of Mathematical Physics 69 Bulletin des Sciences Mathématiques 69 Discrete and Continuous Dynamical Systems. Series B 68 Nonlinear Analysis. 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Nonlinear Differential Equations and Applications 8 Mathematical Physics, Analysis and Geometry 8 São Paulo Journal of Mathematical Sciences 7 Anais da Academia Brasileira de Ciências 7 Geometriae Dedicata 7 Mathematische Zeitschrift 7 Expositiones Mathematicae 7 Advanced Nonlinear Studies 7 Nonlinear Analysis. Hybrid Systems 7 Russian Journal of Nonlinear Dynamics 6 International Journal of Control 6 Automatica 6 Science in China. Series A 6 Journal of Mathematical Sciences (New York) 6 Journal of Applied Mathematics 6 Bulletin of the Brazilian Mathematical Society. New Series 6 Advances in Mathematical Physics 5 Mathematical Biosciences 5 Physica A 5 Inventiones Mathematicae 5 Results in Mathematics 5 Mathematical and Computer Modelling 5 Applied Mathematical Modelling 5 Celestial Mechanics ...and 264 more Serials all top 5 Cited in 60 Fields 2,389 Ordinary differential equations (34-XX) 1,568 Dynamical systems and ergodic theory (37-XX) 550 Mechanics of particles and systems (70-XX) 211 Biology and other natural sciences (92-XX) 125 General topology (54-XX) 74 Partial differential equations (35-XX) 70 Systems theory; control (93-XX) 61 Operator theory (47-XX) 49 Numerical analysis (65-XX) 46 Global analysis, analysis on manifolds (58-XX) 45 Algebraic geometry (14-XX) 45 Difference and functional equations (39-XX) 40 Relativity and gravitational theory (83-XX) 39 Differential geometry (53-XX) 39 Algebraic topology (55-XX) 35 Manifolds and cell complexes (57-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Information and communication theory, circuits (94-XX) 29 Computer science (68-XX) 28 Several complex variables and analytic spaces (32-XX) 27 Astronomy and astrophysics (85-XX) 26 Real functions (26-XX) 26 Probability theory and stochastic processes (60-XX) 25 Fluid mechanics (76-XX) 24 Commutative algebra (13-XX) 16 Measure and integration (28-XX) 16 Optics, electromagnetic theory (78-XX) 16 Quantum theory (81-XX) 15 Field theory and polynomials (12-XX) 14 Functions of a complex variable (30-XX) 14 Statistical mechanics, structure of matter (82-XX) 14 Geophysics (86-XX) 12 Combinatorics (05-XX) 12 Number theory (11-XX) 11 Group theory and generalizations (20-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Functional analysis (46-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Mechanics of deformable solids (74-XX) 7 Approximations and expansions (41-XX) 7 Integral equations (45-XX) 6 Special functions (33-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 3 History and biography (01-XX) 3 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 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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