Edit Profile (opens in new tab) Gasull, Armengol Co-Author Distance Author ID: gasull.armengol Published as: Gasull, Armengol; Gasull, A.; Gasull i Embid, Armengol; Armengol, Gasull more...less Homepage: http://www.gsd.uab.cat/index.php?option=com_jresearch&view=member&task=show&form... External Links: ORCID · Google Scholar Documents Indexed: 231 Publications since 1985, including 6 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 108 Reviews Co-Authors: 67 Co-Authors with 220 Joint Publications 1,761 Co-Co-Authors all top 5 Co-Authors 12 single-authored 55 Cima, Anna 43 Mañosas, Francesc 37 Mañosa, Víctor 27 Prohens, Rafel 27 Torregrosa, Joan 20 Giacomini, Hector J. 19 Llibre, Jaume 18 Coll, Bartomeu 16 Guillamon, Antoni 11 Alvarez, María Jesus 7 García-Saldaña, Johanna D. 6 Giné, Jaume 5 Ferragut, Antoni 5 Garijo, Antonio 5 Jarque, Xavier 5 Li, Chengzhi 5 Utzet, Frederic 5 Zhang, Xiang 4 Freire Macías, Emilio 4 Geyer, Anna 4 Grau, Maite 4 Sotomayor, Jorge 4 Valls Anglés, Cláudia 3 Buzzi, Claudio Aguinaldo 3 Lázaro, Jose Tomas 3 Yu, Jiang 3 Zhao, Yulin 2 Bravo, José Luis 2 Buică, Adriana 2 Carvalho, Yagor Romano 2 Chamberland, Marc 2 Da Silva, Paulo Ricardo 2 Fernandez García-Hierro, Manuel 2 Groisman, Jorge 2 Liu, Changjian 2 Llorens, Mireia 2 López-Salcedo, José A. 2 Ortega, Rafael 2 Sheng, Liren 2 Villadelprat, Jordi 2 Yang, Jiazhong 2 Zhang, Zhifen 1 Alvarez-Ramírez, Martha 1 Bohner, Martin J. 1 Caubergh, Magdalena 1 Chenciner, Alain 1 Chiralt, Cristina 1 Cumplido, M. 1 Hartmann, Julia 1 Hernández-Corbato, Luis 1 Hubbers, Engelbert 1 Jolis, Maria 1 Kooij, Robert E. 1 Li, Weigu 1 Luca, Florian 1 Medrado, João C. R. 1 Montolio, Pere 1 Pérez-González, Set 1 Rondón, Gabriel 1 Ruiz del Portal, Francisco Romero 1 Sabatini, Marco 1 van den Essen, Arno 1 Varona Malumbres, Juan Luis 1 Víctor, Mañosa 1 Vindel, Pura 1 Walcher, Sebastian 1 Xarles, Xavier all top 5 Serials 36 Journal of Differential Equations 26 Journal of Mathematical Analysis and Applications 12 Qualitative Theory of Dynamical Systems 10 Journal of Difference Equations and Applications 10 Discrete and Continuous Dynamical Systems 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Bulletin des Sciences Mathématiques 5 Publicacions Matemàtiques 4 Rocky Mountain Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 La Gaceta de la Real Sociedad Matemática Española 4 Communications on Pure and Applied Analysis 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Communications in Nonlinear Science and Numerical Simulation 3 Butlletí de la Societat Catalana de Matemàtiques 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Pacific Journal of Mathematics 2 Extracta Mathematicae 2 Applicationes Mathematicae 2 Electronic Journal of Differential Equations (EJDE) 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Canadian Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Butlletí de la Societat Catalana de Ciencies Físiques, Químiques i Matemàtiques 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Test 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Computational and Applied Mathematics 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Communications on Applied Nonlinear Analysis 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Sarajevo Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 The College Mathematics Journal 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation all top 5 Fields 171 Ordinary differential equations (34-XX) 104 Dynamical systems and ergodic theory (37-XX) 33 Difference and functional equations (39-XX) 7 Mechanics of particles and systems (70-XX) 7 Biology and other natural sciences (92-XX) 6 Commutative algebra (13-XX) 5 Approximations and expansions (41-XX) 5 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 191 Publications have been cited 2,356 times in 1,239 Documents Cited by ▼ Year ▼ Limit cycles for a class of Abel equations. Zbl 0732.34025 Gasull, A.; Llibre, J. 79 1990 Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031 Gasull, Armengol; Torregrosa, Joan 61 2003 Monodromy and stability for nilpotent critical points. Zbl 1088.34021 Álvarez, M. J.; Gasull, A. 59 2005 Generating limit cycles from a nilpotent critical point via normal forms. Zbl 1100.34030 Álvarez, M. J.; Gasull, A. 54 2006 Bifurcation of limit cycles from two families of centers. Zbl 1074.34038 Coll, B.; Gasull, A.; Prohens, R. 54 2005 An explicit expression of the first Lyapunov and period constants with applications. Zbl 0882.34040 Gasull, Armengol; Guillamon, Antoni; Mañosa, Víctor 54 1997 Algebraic properties of the Lyapunov and period constants. Zbl 0911.34025 Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc 48 1997 A polynomial counterexample to the Markus-Yamabe conjecture. Zbl 0896.34042 Cima, Anna; van den Essen, Arno; Gasull, Armengol; Hubbers, Engelbert; Mañosas, Francesc 47 1997 Period function for a class of Hamiltonian systems. Zbl 0991.37039 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 46 2000 Limit cycles in the Holling-Tanner model. Zbl 0880.34028 Gasull, Armengol; Kooij, Robert E.; Torregrosa, Joan 41 1997 A new uniqueness criterion for the number of periodic orbits of Abel equations. Zbl 1118.34036 Álvarez, M. J.; Gasull, A.; Giacomini, H. 35 2007 Center problem for several differential equations via Cherkas’ method. Zbl 0926.34022 Gasull, Armengol; Torregrosa, Joan 35 1998 Limit cycles for rigid cubic systems. Zbl 1076.34031 Gasull, A.; Prohens, R.; Torregrosa, J. 31 2005 Limit cycles for generalized Abel equations. Zbl 1140.34348 Gasull, Armengol; Guillamon, Antoni 30 2006 A new approach to the computation of the Lyapunov constants. Zbl 1127.34318 Gasull, Armengol; Torregrosa, Joan 30 2001 A new algorithm for the computation of the Lyapunov constants for some degenerated critical points. Zbl 1042.34528 Gasull, Armengol; Torregrosa, Joan 30 2001 First derivative of the period function with applications. Zbl 1063.34025 Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 30 2004 The focus-centre problem for a type of degenerate system. Zbl 0962.34067 Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc 28 2000 Differential equations defined by the sum of two quasi-homogeneous vector fields. Zbl 0990.34030 Coll, B.; Gasull, A.; Prohens, R. 28 1997 Upper bounds for the number of zeroes for some abelian integrals. Zbl 1254.34049 Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 28 2012 The discrete Markus-Yamabe problem. Zbl 0919.34042 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 27 1999 The period function for Hamiltonian systems with homogeneous nonlinearities. Zbl 0891.34033 Gasull, A.; Guillamon, A.; Mañosa, V.; Mañosas, F. 27 1997 Limit cycles appearing from the perturbation of a system with a multiple line of critical points. Zbl 1241.34037 Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 24 2012 Chordal quadratic systems. Zbl 0609.34040 Gasull, Armengol; Sheng, Li-Ren; Llibre, Jaume 24 1986 Dynamics of some rational discrete dynamical systems via invariants. Zbl 1141.37310 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 23 2006 Cyclicity of a family of vector fields. Zbl 0851.34027 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 23 1995 Explicit non-algebraic limit cycles for polynomial systems. Zbl 1171.34021 Gasull, A.; Giacomini, H.; Torregrosa, J. 23 2007 Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028 Coll, B.; Gasull, A.; Llibre, J. 23 1987 On the number of critical periods for planar polynomial systems. Zbl 1157.34021 Cima, Anna; Gasull, Armengol; da Silva, Paulo R. 23 2008 Limit cycles for some Abel equations having coefficients without fixed signs. Zbl 1182.34056 Bravo, J. L.; Fernández, M.; Gasull, A. 22 2009 The center problem for discontinuous Liénard differential equation. Zbl 1089.34512 Coll, B.; Prohens, R.; Gasull, A. 22 1999 Bifurcation of limit cycles from a polynomial non-global center. Zbl 1166.34017 Gasull, A.; Prohens, R.; Torregrosa, J. 22 2008 Chebyshev property of complete elliptic integrals and its application to Abelian integrals. Zbl 1086.34523 Gasull, Armengol; Li, Weigu; Llibre, Jaume; Zhang, Zhifen 22 2002 A new criterion for controlling the number of limit cycles of some generalized Liénard equations. Zbl 1032.34028 Gasull, Armengol; Giacomini, Hector 21 2002 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060 Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 20 2009 Small-amplitude limit cycles in Liénard systems via multiplicity. Zbl 0947.34014 Gasull, Armengol; Torregrosa, Joan 20 1999 Global periodicity and complete integrability of discrete dynamical systems. Zbl 1127.39010 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 20 2006 Global asymptotic stability of differential equations in the plane. Zbl 0732.34045 Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge 20 1991 On polynomial Hamiltonian planar vector fields. Zbl 0792.34026 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 20 1993 Monodromy and stability of a class of degenerate planar critical points. Zbl 1013.34028 Gasull, A.; Mañosa, V.; Mañosas, F. 20 2002 The third order Melnikov function of a quadratic center under quadratic perturbations. Zbl 1125.34022 Buica, Adriana; Gasull, Armengol; Yang, Jiazhong 19 2007 On the critical periods of perturbed isochronous centers. Zbl 1143.34024 Gasull, Armengol; Yu, Jiang 19 2008 Dynamics of the third order Lyness’ difference equation. Zbl 1129.39003 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 18 2007 Centers for trigonometric Abel equations. Zbl 1264.34055 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 18 2012 Studying discrete dynamical systems through differential equations. Zbl 1131.37025 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 17 2008 Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035 Gasull, A.; Zhao, Y. 17 2008 A new Chebyshev family with applications to Abel equations. Zbl 1233.41003 Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 17 2012 On periodic rational difference equations of order \(k\). Zbl 1053.39008 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2004 On the number of limit cycles for perturbed pendulum equations. Zbl 1346.34029 Gasull, A.; Geyer, A.; Mañosas, F. 17 2016 A simple solution of some composition conjectures for Abel equations. Zbl 1269.34035 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2013 Traveling surface waves of moderate amplitude in shallow water. Zbl 1385.37081 Gasull, Armengol; Geyer, Anna 17 2014 Local and global phase portrait of equation \(\dot z=f(z)\). Zbl 1125.34025 Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 16 2007 A relation between small amplitude and big limit cycles. Zbl 1041.34016 Gasull, Armengol; Torregrosa, Joan 16 2001 A characterization of isochronous centres in terms of symmetries. Zbl 1087.34010 Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 15 2004 Approximating Mills ratio. Zbl 1415.60014 Gasull, Armengol; Utzet, Frederic 15 2014 Phase portrait of Hamiltonian systems with homogeneous nonlinearities. Zbl 0965.34015 Gasull, Armengol; Guillamon, Antoni; Mañosa, Victor 14 2000 A Darboux-type theory of integrability for discrete dynamical systems. Zbl 1013.39008 Gasull, Armengol; Mañosa, Víctor 14 2002 Bifurcation values for a family of planar vector fields of degree five. Zbl 1319.34066 García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector 14 2015 On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049 Gasull, Armengol; Liu, Changjian; Yang, Jiazhong 14 2010 Upper bounds for the number of limit cycles through linear differential equations. Zbl 1135.34027 Gasull, Armengol; Giacomini, Hector 13 2006 Lower bounds for the number of limit cycles of trigonometric Abel equations. Zbl 1362.34068 Álvarez, M. J.; Gasull, A.; Yu, J. 13 2008 On the Chebyshev property for a new family of functions. Zbl 1234.41022 Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 13 2012 Period function for perturbed isochronous centres. Zbl 1087.34021 Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 13 2002 Some results on rigid systems. Zbl 1107.34310 Gasull, A.; Torregrosa, J. 13 2005 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033 Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 13 2003 Limit cycles for vector fields with homogeneous components. Zbl 0880.34032 Cima, A.; Gasull, A.; Mañosas, F. 13 1997 Exact number of limit cycles for a family of rigid systems. Zbl 1062.34030 Gasull, A.; Torregrosa, J. 13 2005 Simultaneous bifurcation of limit cycles from two nests of periodic orbits. Zbl 1144.34027 Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 12 2008 On the period of the limit cycles appearing in one-parameter bifurcations. Zbl 1081.34037 Gasull, Armengol; Mañosa, Víctor; Villadelprat, Jordi 12 2005 Explicit travelling waves and invariant algebraic curves. Zbl 1320.35136 Gasull, Armengol; Giacomini, Hector 12 2015 Cyclicity versus center problem. Zbl 1210.34049 Gasull, Armengol; Giné, Jaume 12 2010 Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0642.34022 Gasull, A.; Llibre, J.; Sotomayor, J. 11 1987 Injectivity of polynomial local homeomorphisms of \(\mathbb{R}^ n\). Zbl 0845.58014 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 11 1996 Periodic orbits in complex Abel equations. Zbl 1117.34036 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 11 2007 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060 Gasull, Armengol; Yu, Jiang; Zhang, Xiang 11 2015 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020 Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 11 2016 Some results on homoclinic and heteroclinic connections in planar systems. Zbl 1215.34045 Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan 11 2010 Quadratic systems with a unique finite rest point. Zbl 0674.34027 Coll, B.; Gasull, A.; Llibre, J. 10 1988 Center-focus and isochronous center problems for discontinuous differential equations. Zbl 1039.34022 Coll, B.; Gasull, A.; Prohens, R. 10 2000 Quadratic and cubic systems with degenerate infinity. Zbl 0851.34028 Gasull, A.; Prohens, R. 10 1996 On the relation between index and multiplicity. Zbl 0922.57022 Cima, Anna; Gasull, Armengol; Torregrosa, Joan 10 1998 Some applications of the Euler-Jacobi formula to differential equations. Zbl 0787.34030 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 10 1993 On 2- and 3-periodic Lyness difference equations. Zbl 1248.39008 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 10 2012 Seeking Darboux polynomials. Zbl 1365.34060 Ferragut, Antoni; Gasull, Armengol 10 2015 From Abel’s differential equations to Hilbert’s sixteenth problem. Zbl 1322.34052 Gasull i Embid, Armengol 10 2013 On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. Zbl 1391.34003 Cima, A.; Gasull, A.; Mañosas, F. 10 2017 Integrability of Liénard systems with a weak saddle. Zbl 1379.37048 Gasull, Armengol; Giné, Jaume 10 2017 An explicit bound of the number of vanishing double moments forcing composition. Zbl 1290.34015 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 10 2013 Topological classification of polynomial complex differential equations with all the critical points of centre type. Zbl 1201.37022 Álvarez, M. J.; Gasull, A.; Prohens, R. 9 2010 Centre and isochronicity conditions for systems with homogeneous nonlinearities. Zbl 0909.34030 Gasull, A.; Guillamon, A.; Mañosa, V. 9 1995 Normal forms for singularities of one dimensional holomorphic vector fields. Zbl 1075.34089 Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 9 2004 Some applications of the extended Bendixson-Dulac theorem. Zbl 1300.34067 Gasull, Armengol; Giacomini, Hector 9 2013 Some properties of the \(k\)-dimensional Lyness’ map. Zbl 1151.39017 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 9 2008 Some open problems in low dimensional dynamical systems. Zbl 1487.37024 Gasull, Armengol 9 2021 Upper bounds for the number of limit cycles of some planar polynomial differential systems. Zbl 1200.34035 Gasull, Armengol; Giacomini, Hector 8 2010 Nonexistence of limit cycles for some predator-prey systems. Zbl 0938.34515 Gasull, A.; Guillamon, A. 8 1993 On the period function for a family of complex differential equations. Zbl 1103.34026 Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 8 2006 Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations. Zbl 0876.34035 Gasull, A.; Guillamon, A. 8 1995 Stability of singular limit cycles for Abel equations. Zbl 1312.34080 Bravo, José Luis; Fernández, Manuel; Gasull, Armengol 8 2015 A theoretical basis for the Harmonic Balance Method. Zbl 1276.34034 García-Saldaña, Johanna D.; Gasull, Armengol 8 2013 On the equilateral pentagonal central configurations. Zbl 1513.70041 Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 1 2022 Discrete Melnikov functions. Zbl 1514.39004 Gasull, Armengol; Valls, Claudia 1 2022 Probability of occurrence of some planar random quasi-homogeneous vector fields. Zbl 1508.34067 Coll, B.; Gasull, A.; Prohens, R. 1 2022 Some open problems in low dimensional dynamical systems. Zbl 1487.37024 Gasull, Armengol 9 2021 Effectiveness of the Bendixson-Dulac theorem. Zbl 1490.34031 Gasull, Armengol; Giacomini, Hector 3 2021 Stability index of linear random dynamical systems. Zbl 1474.37054 Cima, Anna; Gasull, Armengol; Mañosa, Victor 3 2021 Phase portraits of random planar homogeneous vector fields. Zbl 1461.37053 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 2 2021 Limit cycles for some families of smooth and non-smooth planar systems. Zbl 1470.34091 Buzzi, Claudio A.; Carvalho, Yagor Romano; Gasull, Armengol 1 2021 The local period function for Hamiltonian systems with applications. Zbl 1469.34050 Buzzi, Claudio Aguinaldo; Carvalho, Yagor Romano; Gasull, Armengol 1 2021 Piecewise linear differential systems with an algebraic line of separation. Zbl 1440.34032 Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 7 2020 A note on the Lyapunov and period constants. Zbl 1447.34030 Cima, A.; Gasull, A.; Mañosas, F. 6 2020 Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem. Zbl 1432.37045 Gasull, Armengol; Mañosa, Víctor 5 2020 Highest weak focus order for trigonometric Liénard equations. Zbl 1450.34022 Gasull, Armengol; Giné, Jaume; Valls, Claudia 3 2020 A Chebyshev criterion with applications. Zbl 1446.34049 Gasull, A.; Geyer, A.; Mañosas, F. 2 2020 Many periodic solutions for a second order cubic periodic differential equation. Zbl 1453.34060 Buică, Adriana; Gasull, Armengol 1 2020 A new approach for the study of limit cycles. Zbl 1446.34048 García-Saldaña, J. D.; Gasull, A.; Giacomini, H. 1 2020 Around some extensions of Casas-Alvero conjecture for non-polynomial functions. Zbl 1461.30017 Cima, A.; Gasull, A.; Mañosas, F. 1 2020 Fixed and moving limit cycles for Liénard equations. Zbl 1453.34039 Gasull, Armengol; Sabatini, Marco 4 2019 Rational parameterizations approach for solving equations in some dynamical systems problems. Zbl 1423.34040 Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 4 2019 Smooth linearisation of planar periodic maps. Zbl 1423.37027 Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R. 3 2019 Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077 Bohner, Martin; Gasull, Armengol; Valls, Claudia 3 2019 Difference equations everywhere: some motivating examples. Zbl 1426.39001 Gasull, Armengol 2 2019 Algebraic limit cycles in piecewise linear differential systems. Zbl 1388.34021 Buzzi, Claudio A.; Gasull, Armengol; Torregrosa, Joan 4 2018 Parrondo’s dynamic paradox for the stability of non-hyperbolic fixed points. Zbl 1379.37043 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 4 2018 Periodic points of a Landen transformation. Zbl 1524.37025 Gasull, Armengol; Llorens, Mireia; Mañosa, Víctor 3 2018 Bifurcation of 2-periodic orbits from non-hyperbolic fixed points. Zbl 1378.37088 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 1 2018 On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. Zbl 1391.34003 Cima, A.; Gasull, A.; Mañosas, F. 10 2017 Integrability of Liénard systems with a weak saddle. Zbl 1379.37048 Gasull, Armengol; Giné, Jaume 10 2017 Center problem for trigonometric Liénard systems. Zbl 1371.34043 Gasull, Armengol; Giné, Jaume; Valls, Claudia 5 2017 Global behaviour of the period function of the sum of two quasi-homogeneous vector fields. Zbl 1369.34046 Álvarez, M. J.; Gasull, A.; Prohens, R. 4 2017 Effective construction of Poincaré-Bendixson regions. Zbl 1456.34026 Gasull, Armengol; Giacomini, Hector; Grau, Maite 3 2017 Detection of special curves via the double resultant. Zbl 1391.13055 Ferragut, Antoni; García-Saldaña, Johanna D.; Gasull, Armengol 1 2017 Quantitative analysis of competition models. Zbl 1376.34046 Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura 1 2017 On the number of limit cycles for perturbed pendulum equations. Zbl 1346.34029 Gasull, A.; Geyer, A.; Mañosas, F. 17 2016 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020 Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 11 2016 Center problem for systems with two monomial nonlinearities. Zbl 1388.34024 Gasull, Armengol; Giné, Jaume; Torregrosa, Joan 6 2016 Different approaches to the global periodicity problem. Zbl 1355.39021 Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc 4 2016 Linearization of planar homeomorphisms with a compact attractor. Zbl 1364.37051 Gasull, Armengol; Groisman, Jorge; Mañosas, Francesc 2 2016 Bifurcation values for a family of planar vector fields of degree five. Zbl 1319.34066 García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector 14 2015 Explicit travelling waves and invariant algebraic curves. Zbl 1320.35136 Gasull, Armengol; Giacomini, Hector 12 2015 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060 Gasull, Armengol; Yu, Jiang; Zhang, Xiang 11 2015 Seeking Darboux polynomials. Zbl 1365.34060 Ferragut, Antoni; Gasull, Armengol 10 2015 Stability of singular limit cycles for Abel equations. Zbl 1312.34080 Bravo, José Luis; Fernández, Manuel; Gasull, Armengol 8 2015 Limit cycles for 3-monomial differential equations. Zbl 1323.34037 Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 5 2015 Non-integrability of measure preserving maps via Lie symmetries. Zbl 1355.37038 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2015 The period function and the harmonic balance method. Zbl 1315.34047 García-Saldaña, Johanna D.; Gasull, Armengol 4 2015 Maxima of gamma random variables and other Weibull-like distributions and the Lambert \(W\) function. Zbl 1332.60072 Gasull, Armengol; López-Salcedo, José A.; Utzet, Frederic 3 2015 Linearization of planar involutions in \(\mathcal C^1\). Zbl 1352.37053 Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R. 2 2015 On the norming constants for normal maxima. Zbl 1334.60092 Gasull, Armengol; Jolis, Maria; Utzet, Frederic 1 2015 Traveling surface waves of moderate amplitude in shallow water. Zbl 1385.37081 Gasull, Armengol; Geyer, Anna 17 2014 Approximating Mills ratio. Zbl 1415.60014 Gasull, Armengol; Utzet, Frederic 15 2014 Bifurcation diagram and stability for a one-parameter family of planar vector fields. Zbl 1308.34048 García-Saldaña, J. D.; Gasull, A.; Giacomini, H. 7 2014 Basin of attraction of triangular maps with applications. Zbl 1319.39007 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2014 On the global asymptotic stability of difference equations satisfying a Markus-Yamabe condition. Zbl 1308.39015 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 2 2014 Non-algebraic oscillations for predator-prey models. Zbl 1310.34054 Ferragut, Antoni; Gasull, Armengol 1 2014 A simple solution of some composition conjectures for Abel equations. Zbl 1269.34035 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2013 From Abel’s differential equations to Hilbert’s sixteenth problem. Zbl 1322.34052 Gasull i Embid, Armengol 10 2013 An explicit bound of the number of vanishing double moments forcing composition. Zbl 1290.34015 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 10 2013 Some applications of the extended Bendixson-Dulac theorem. Zbl 1300.34067 Gasull, Armengol; Giacomini, Hector 9 2013 A theoretical basis for the Harmonic Balance Method. Zbl 1276.34034 García-Saldaña, Johanna D.; Gasull, Armengol 8 2013 A proof of Perko’s conjectures for the Bogdanov-Takens system. Zbl 1301.34054 Gasull, A.; Giacomini, H.; Pérez-González, S.; Torregrosa, J. 7 2013 Integrability and non-integrability of periodic non-autonomous Lyness recurrences. Zbl 1288.39006 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 7 2013 Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations. Zbl 1283.34046 Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan 6 2013 Global periodicity conditions for maps and recurrences via normal forms. Zbl 1284.37039 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 6 2013 On a family of polynomial differential equations having at most three limit cycles. Zbl 1283.34030 Gasull, Armengol; Zhao, Yulin 3 2013 Upper bounds for the number of zeroes for some abelian integrals. Zbl 1254.34049 Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 28 2012 Limit cycles appearing from the perturbation of a system with a multiple line of critical points. Zbl 1241.34037 Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 24 2012 Centers for trigonometric Abel equations. Zbl 1264.34055 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 18 2012 A new Chebyshev family with applications to Abel equations. Zbl 1233.41003 Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 17 2012 On the Chebyshev property for a new family of functions. Zbl 1234.41022 Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 13 2012 On 2- and 3-periodic Lyness difference equations. Zbl 1248.39008 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 10 2012 Periodic orbits for perturbed non-autonomous differential equations. Zbl 1268.34072 Coll, B.; Gasull, A.; Prohens, R. 8 2012 Nonautonomous two-periodic Gumovski-Mira difference equations. Zbl 1258.37015 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 6 2012 Simple examples of planar involutions with non-global Montgomery-Bochner linearizations. Zbl 1278.37029 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 4 2012 Rational periodic sequences for the Lyness recurrence. Zbl 1306.39006 Gasull, A.; Mañosa, Víctor; Xarles, Xavier 4 2012 Global linearization of periodic difference equations. Zbl 1237.39002 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 4 2012 Limit cycles for two families of cubic systems. Zbl 1259.34022 Álvarez, M. J.; Gasull, A.; Prohens, R. 3 2012 On Coxeter recurrences. Zbl 1266.39014 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 2 2012 New periodic recurrences with applications. Zbl 1228.39010 Cima, Anna; Gasull, Armengol; Mañosas, Francesc 4 2011 On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049 Gasull, Armengol; Liu, Changjian; Yang, Jiazhong 14 2010 Cyclicity versus center problem. Zbl 1210.34049 Gasull, Armengol; Giné, Jaume 12 2010 Some results on homoclinic and heteroclinic connections in planar systems. Zbl 1215.34045 Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan 11 2010 Topological classification of polynomial complex differential equations with all the critical points of centre type. Zbl 1201.37022 Álvarez, M. J.; Gasull, A.; Prohens, R. 9 2010 Upper bounds for the number of limit cycles of some planar polynomial differential systems. Zbl 1200.34035 Gasull, Armengol; Giacomini, Hector 8 2010 On Poncelet’s maps. Zbl 1201.51024 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2010 A note on the period function for certain planar vector fields. Zbl 1203.34065 Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 4 2010 Chini equations and isochronous centers in three-dimensional differential systems. Zbl 1364.34055 Chamberland, Marc; Gasull, Armengol 3 2010 Absolute cyclicity, Lyapunov quantities and center conditions. Zbl 1190.34035 Caubergh, M.; Gasull, A. 2 2010 Limit cycles for some Abel equations having coefficients without fixed signs. Zbl 1182.34056 Bravo, J. L.; Fernández, M.; Gasull, A. 22 2009 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060 Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 20 2009 Configurations of critical points in complex polynomial differential equations. Zbl 1184.34085 Álvarez, M. J.; Gasull, A.; Prohens, R. 7 2009 New criteria for the existence and non-existence of limit cycles in Liénard differential systems. Zbl 1194.34049 Gasull, Armengol; Giacomini, Hector; Llibre, Jaume 7 2009 On persistent centers. Zbl 1183.34041 Cima, Anna; Gasull, Armengol; Medrado, João C. 4 2009 On the number of critical periods for planar polynomial systems. Zbl 1157.34021 Cima, Anna; Gasull, Armengol; da Silva, Paulo R. 23 2008 Bifurcation of limit cycles from a polynomial non-global center. Zbl 1166.34017 Gasull, A.; Prohens, R.; Torregrosa, J. 22 2008 On the critical periods of perturbed isochronous centers. Zbl 1143.34024 Gasull, Armengol; Yu, Jiang 19 2008 Studying discrete dynamical systems through differential equations. Zbl 1131.37025 Cima, Anna; Gasull, Armengol; Mañosa, Víctor 17 2008 Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035 Gasull, A.; Zhao, Y. 17 2008 Lower bounds for the number of limit cycles of trigonometric Abel equations. Zbl 1362.34068 Álvarez, M. J.; Gasull, A.; Yu, J. 13 2008 Simultaneous bifurcation of limit cycles from two nests of periodic orbits. Zbl 1144.34027 Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 12 2008 ...and 91 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 963 Authors 141 Llibre, Jaume 127 Gasull, Armengol 69 Valls Anglés, Cláudia 67 Giné, Jaume 53 Han, Maoan 45 Torregrosa, Joan 41 Cima, Anna 36 Mañosa, Víctor 33 Mañosas, Francesc 31 Liu, Yirong 27 Zhang, Xiang 26 Li, Feng 24 Romanovskiĭ, Valeriĭ Georgievich 23 Algaba, Antonio 23 Villadelprat, Jordi 22 Prohens, Rafel 22 Zhao, Yulin 19 García, Cristóbal 18 García, Isaac A. 18 Wu, Yusen 18 Yu, Pei 17 Alvarez, María Jesus 17 Bravo, José Luis 17 Giacomini, Hector J. 16 Grau, Maite 15 Liu, Changjian 15 Zhang, Weinian 14 Fernandez García-Hierro, Manuel 14 Guillamon, Antoni 14 Huang, Wentao 14 Liang, Haihua 13 Chen, Xingwu 13 Huang, Jianfeng 13 Li, Shimin 12 Li, Jibin 12 Liang, Feng 12 Sabatini, Marco 11 Bendjeddou, Ahmed 11 Chen, Ting 11 Yang, Jihua 11 Zhao, Liqin 10 Coll, Bartomeu 10 Ferragut, Antoni 10 Geyer, Anna 10 Oliveira, Regilene D. S. 10 Teixeira, Marco Antonio 9 Bastien, Guy 9 Reyes, Manuel 9 Rogalski, Marc 8 Boukoucha, Rachid 8 Buică, Adriana 8 Chen, Haibo 8 Du, Zhengdong 8 Peng, Linping 8 van den Essen, Arno 8 Wang, Qinlong 8 Yang, Zhenhang 8 Yomdin, Yosef 7 Buzzi, Claudio Aguinaldo 7 Chen, Hebai 7 Da Silva, Paulo Ricardo 7 Gouveia, Luiz F. S. 7 Huang, Jicai 7 Jarque, Xavier 7 Li, Chengzhi 7 Liu, Yuanyuan 7 Rabanal, Roland 7 Yu, Jiang 7 Zanolin, Fabio 6 Artés, Joan Carles 6 Castañeda, Alvaro 6 Cen, Xiuli 6 Ferčec, Brigita 6 Françoise, Jean-Pierre 6 García, Belén 6 Guo, Laigang 6 Novaes, Douglas Duarte 6 Pakovich, Fedor 6 Pérez del Río, Jesús S. 6 Tang, Yilei 6 Tian, Yun 6 Tian, Yuzhou 6 Wu, Yuhai 5 Asheghi, Rasoul 5 Berbache, Aziza 5 Chavarriga, Javier 5 Chen, Aiyong 5 Cherkas, Leonid A. 5 Chu, Yuming 5 Colak, Ilker E. 5 Ding, Xiaoquan 5 Du, Chaoxiong 5 Feng, Zhaosheng 5 Fernandes, Wilker 5 Freire Macías, Emilio 5 Garijo, Antonio 5 Grin, Alexander A. 5 Li, Hongwei 5 Li, Weigu 5 Maza, Susanna ...and 863 more Authors all top 5 Cited in 212 Serials 149 Journal of Differential Equations 121 Journal of Mathematical Analysis and Applications 108 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 77 Qualitative Theory of Dynamical Systems 41 Nonlinear Analysis. Theory, Methods & Applications. 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Serie II 2 Studies in Applied Mathematics 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 Indagationes Mathematicae. New Series 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Journal of Computer and Systems Sciences International 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Mathematical Physics, Analysis and Geometry 2 Journal of Mathematical Fluid Mechanics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 Journal of Dynamical Systems and Geometric Theories 2 Boundary Value Problems ...and 112 more Serials all top 5 Cited in 51 Fields 972 Ordinary differential equations (34-XX) 429 Dynamical systems and ergodic theory (37-XX) 76 Difference and functional equations (39-XX) 75 Biology and other natural sciences (92-XX) 56 Partial differential equations (35-XX) 45 Algebraic geometry (14-XX) 34 Mechanics of particles and systems (70-XX) 23 Real functions (26-XX) 17 Operator theory (47-XX) 16 Computer science (68-XX) 14 Commutative algebra (13-XX) 14 Functions of a complex variable (30-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Numerical analysis (65-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Fluid mechanics (76-XX) 12 Systems theory; control (93-XX) 10 Special functions (33-XX) 10 Probability theory and stochastic processes (60-XX) 8 Differential geometry (53-XX) 7 Integral equations (45-XX) 6 Approximations and expansions (41-XX) 6 Manifolds and cell complexes (57-XX) 6 Statistics (62-XX) 5 General topology (54-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year