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: 222 Publications since 1985 1 Contribution as Editor Reviewing Activity: 108 Reviews Co-Authors: 61 Co-Authors with 211 Joint Publications 1,285 Co-Co-Authors all top 5 Co-Authors 11 single-authored 54 Cima, Anna 42 Mañosas, Francesc 35 Mañosa, Víctor 27 Prohens, Rafel 27 Torregrosa, Joan 19 Giacomini, Hector J. 19 Llibre, Jaume 18 Coll, Bartomeu 15 Guillamon, Antoni 11 Alvarez, María Jesus 6 García-Saldaña, Johanna D. 6 Giné, Jaume 5 Ferragut, Antoni 5 Garijo, Antonio 5 Jarque, Xavier 5 Li, Chengzhi 5 Zhang, Xiang 4 Freire Macías, Emilio 4 Geyer, Anna 4 Sotomayor, Jorge 4 Valls Anglés, Cláudia 3 Buzzi, Claudio Aguinaldo 3 Grau, Maite 3 Lázaro, Jose Tomas 3 Utzet, Frederic 3 Yu, Jiang 3 Zhao, Yulin 2 Bravo, José Luis 2 Buică, Adriana 2 Carvalho, Yagor Romano 2 Chamberland, Marc 2 Groisman, Jorge 2 Liu, Changjian 2 Llorens, Mireia 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 Da Silva, Paulo Ricardo 1 Hartmann, Julia 1 Hernández-Corbato, Luis 1 Hubbers, Engelbert 1 Jolis, Maria 1 Kooij, Robert E. 1 Li, Weigu 1 López-Salcedo, José A. 1 Medrado, João C. R. 1 Montolio, Pere 1 Pérez-González, Set 1 Ruiz del Portal, Francisco Romero 1 Sabatini, Marco 1 van den Essen, Arno 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 Test 1 Topological Methods in Nonlinear Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Computational and Applied Mathematics 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 S\(\vec{\text{e}}\)MA Journal 1 Journal of Applied Analysis and Computation all top 5 Fields 167 Ordinary differential equations (34-XX) 100 Dynamical systems and ergodic theory (37-XX) 31 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) 4 Number theory (11-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 4 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-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) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-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 190 Publications have been cited 2,267 times in 1,195 Documents Cited by ▼ Year ▼ Limit cycles for a class of Abel equations. Zbl 0732.34025Gasull, A.; Llibre, J. 76 1990 Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031Gasull, Armengol; Torregrosa, Joan 59 2003 Monodromy and stability for nilpotent critical points. Zbl 1088.34021Álvarez, M. J.; Gasull, A. 58 2005 Bifurcation of limit cycles from two families of centers. Zbl 1074.34038Coll, B.; Gasull, A.; Prohens, R. 54 2005 Generating limit cycles from a nilpotent critical point via normal forms. Zbl 1100.34030Álvarez, M. J.; Gasull, A. 53 2006 An explicit expression of the first Lyapunov and period constants with applications. Zbl 0882.34040Gasull, Armengol; Guillamon, Antoni; Mañosa, Víctor 53 1997 Algebraic properties of the Lyapunov and period constants. Zbl 0911.34025Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc 48 1997 Period function for a class of Hamiltonian systems. Zbl 0991.37039Cima, Anna; Gasull, Armengol; Mañosas, Francesc 46 2000 A polynomial counterexample to the Markus-Yamabe conjecture. Zbl 0896.34042Cima, Anna; van den Essen, Arno; Gasull, Armengol; Hubbers, Engelbert; Mañosas, Francese 43 1997 Limit cycles in the Holling-Tanner model. Zbl 0880.34028Gasull, Armengol; Kooij, Robert E.; Torregrosa, Joan 39 1997 Center problem for several differential equations via Cherkas’ method. Zbl 0926.34022Gasull, Armengol; Torregrosa, Joan 35 1998 A new uniqueness criterion for the number of periodic orbits of Abel equations. Zbl 1118.34036Álvarez, M. J.; Gasull, A.; Giacomini, H. 34 2007 Limit cycles for rigid cubic systems. Zbl 1076.34031Gasull, A.; Prohens, R.; Torregrosa, J. 30 2005 A new approach to the computation of the Lyapunov constants. Zbl 1127.34318Gasull, Armengol; Torregrosa, Joan 30 2001 A new algorithm for the computation of the Lyapunov constants for some degenerated critical points. Zbl 1042.34528Gasull, Armengol; Torregrosa, Joan 30 2001 First derivative of the period function with applications. Zbl 1063.34025Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 30 2004 Upper bounds for the number of zeroes for some abelian integrals. Zbl 1254.34049Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 28 2012 Limit cycles for generalized Abel equations. Zbl 1140.34348Gasull, Armengol; Guillamon, Antoni 28 2006 Differential equations defined by the sum of two quasi-homogeneous vector fields. Zbl 0990.34030Coll, B.; Gasull, A.; Prohens, R. 27 1997 The discrete Markus-Yamabe problem. Zbl 0919.34042Cima, Anna; Gasull, Armengol; Mañosas, Francesc 26 1999 The focus-centre problem for a type of degenerate system. Zbl 0962.34067Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc 26 2000 The period function for Hamiltonian systems with homogeneous nonlinearities. Zbl 0891.34033Gasull, A.; Guillamon, A.; Mañosa, V.; Mañosas, F. 25 1997 Chordal quadratic systems. Zbl 0609.34040Gasull, Armengol; Sheng, Li-Ren; Llibre, Jaume 24 1986 Dynamics of some rational discrete dynamical systems via invariants. Zbl 1141.37310Cima, Anna; Gasull, Armengol; Mañosa, Víctor 23 2006 Limit cycles appearing from the perturbation of a system with a multiple line of critical points. Zbl 1241.34037Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 23 2012 Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028Coll, B.; Gasull, A.; Llibre, J. 23 1987 Cyclicity of a family of vector fields. Zbl 0851.34027Cima, Anna; Gasull, Armengol; Mañosas, Francesc 22 1995 On the number of critical periods for planar polynomial systems. Zbl 1157.34021Cima, Anna; Gasull, Armengol; da Silva, Paulo R. 22 2008 Bifurcation of limit cycles from a polynomial non-global center. Zbl 1166.34017Gasull, A.; Prohens, R.; Torregrosa, J. 22 2008 Chebyshev property of complete elliptic integrals and its application to Abelian integrals. Zbl 1086.34523Gasull, Armengol; Li, Weigu; Llibre, Jaume; Zhang, Zhifen 21 2002 Limit cycles for some Abel equations having coefficients without fixed signs. Zbl 1182.34056Bravo, J. L.; Fernández, M.; Gasull, A. 21 2009 The center problem for discontinuous Liénard differential equation. Zbl 1089.34512Coll, B.; Prohens, R.; Gasull, A. 20 1999 Global periodicity and complete integrability of discrete dynamical systems. Zbl 1127.39010Cima, Anna; Gasull, Armengol; Mañosa, Víctor 20 2006 Explicit non-algebraic limit cycles for polynomial systems. Zbl 1171.34021Gasull, A.; Giacomini, H.; Torregrosa, J. 20 2007 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 20 2009 Small-amplitude limit cycles in Liénard systems via multiplicity. Zbl 0947.34014Gasull, Armengol; Torregrosa, Joan 20 1999 Global asymptotic stability of differential equations in the plane. Zbl 0732.34045Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge 19 1991 Monodromy and stability of a class of degenerate planar critical points. Zbl 1013.34028Gasull, A.; Mañosa, V.; Mañosas, F. 19 2002 A new criterion for controlling the number of limit cycles of some generalized Liénard equations. Zbl 1032.34028Gasull, Armengol; Giacomini, Hector 19 2002 On the critical periods of perturbed isochronous centers. Zbl 1143.34024Gasull, Armengol; Yu, Jiang 18 2008 The third order Melnikov function of a quadratic center under quadratic perturbations. Zbl 1125.34022Buica, Adriana; Gasull, Armengol; Yang, Jiazhong 18 2007 Dynamics of the third order Lyness’ difference equation. Zbl 1129.39003Cima, Anna; Gasull, Armengol; Mañosa, Víctor 18 2007 On polynomial Hamiltonian planar vector fields. Zbl 0792.34026Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 1993 Studying discrete dynamical systems through differential equations. Zbl 1131.37025Cima, Anna; Gasull, Armengol; Mañosa, Víctor 17 2008 Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035Gasull, A.; Zhao, Y. 17 2008 Traveling surface waves of moderate amplitude in shallow water. Zbl 1385.37081Gasull, Armengol; Geyer, Anna 17 2014 A simple solution of some composition conjectures for Abel equations. Zbl 1269.34035Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2013 Centers for trigonometric Abel equations. Zbl 1264.34055Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2012 On periodic rational difference equations of order \(k\). Zbl 1053.39008Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2004 Local and global phase portrait of equation \(\dot z=f(z)\). Zbl 1125.34025Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 16 2007 A new Chebyshev family with applications to Abel equations. Zbl 1233.41003Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 16 2012 A relation between small amplitude and big limit cycles. Zbl 1041.34016Gasull, Armengol; Torregrosa, Joan 15 2001 On the number of limit cycles for perturbed pendulum equations. Zbl 1346.34029Gasull, A.; Geyer, A.; Mañosas, F. 15 2016 A characterization of isochronous centres in terms of symmetries. Zbl 1087.34010Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 15 2004 Phase portrait of Hamiltonian systems with homogeneous nonlinearities. Zbl 0965.34015Gasull, Armengol; Guillamon, Antoni; Mañosa, Victor 14 2000 A Darboux-type theory of integrability for discrete dynamical systems. Zbl 1013.39008Gasull, Armengol; Mañosa, Víctor 14 2002 Lower bounds for the number of limit cycles of trigonometric Abel equations. Zbl 1362.34068Álvarez, M. J.; Gasull, A.; Yu, J. 13 2008 The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi 13 2003 Upper bounds for the number of limit cycles through linear differential equations. Zbl 1135.34027Gasull, Armengol; Giacomini, Hector 13 2006 Some results on rigid systems. Zbl 1107.34310Gasull, A.; Torregrosa, J. 13 2005 On the Chebyshev property for a new family of functions. Zbl 1234.41022Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 13 2012 Approximating Mills ratio. Zbl 1415.60014Gasull, Armengol; Utzet, Frederic 13 2014 Period function for perturbed isochronous centres. Zbl 1087.34021Freire, Emilio; Gasull, Armengol; Guillamon, Antoni 13 2002 Exact number of limit cycles for a family of rigid systems. Zbl 1062.34030Gasull, A.; Torregrosa, J. 13 2005 Bifurcation values for a family of planar vector fields of degree five. Zbl 1319.34066García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector 13 2015 Simultaneous bifurcation of limit cycles from two nests of periodic orbits. Zbl 1144.34027Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 12 2008 Limit cycles for vector fields with homogeneous components. Zbl 0880.34032Cima, A.; Gasull, A.; Mañosas, F. 12 1997 On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049Gasull, Armengol; Liu, Changjian; Yang, Jiazhong 12 2010 Cyclicity versus center problem. Zbl 1210.34049Gasull, Armengol; Giné, Jaume 12 2010 Explicit travelling waves and invariant algebraic curves. Zbl 1320.35136Gasull, Armengol; Giacomini, Hector 12 2015 On the period of the limit cycles appearing in one-parameter bifurcations. Zbl 1081.34037Gasull, Armengol; Mañosa, Víctor; Villadelprat, Jordi 11 2005 Periodic orbits in complex Abel equations. Zbl 1117.34036Cima, Anna; Gasull, Armengol; Mañosas, Francesc 11 2007 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060Gasull, Armengol; Yu, Jiang; Zhang, Xiang 11 2015 Quadratic and cubic systems with degenerate infinity. Zbl 0851.34028Gasull, A.; Prohens, R. 10 1996 On the relation between index and multiplicity. Zbl 0922.57022Cima, Anna; Gasull, Armengol; Torregrosa, Joan 10 1998 On 2- and 3-periodic Lyness difference equations. Zbl 1248.39008Cima, Anna; Gasull, Armengol; Mañosa, Víctor 10 2012 Some results on homoclinic and heteroclinic connections in planar systems. Zbl 1215.34045Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan 10 2010 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 10 2016 Quadratic systems with a unique finite rest point. Zbl 0674.34027Coll, B.; Gasull, A.; Llibre, J. 10 1988 An explicit bound of the number of vanishing double moments forcing composition. Zbl 1290.34015Cima, Anna; Gasull, Armengol; Mañosas, Francesc 10 2013 Center-focus and isochronous center problems for discontinuous differential equations. Zbl 1039.34022Coll, B.; Gasull, A.; Prohens, R. 10 2000 Limit cycles of vector fields of the form \(X(v)=Av+f(v)Bv\). Zbl 0642.34022Gasull, A.; Llibre, J.; Sotomayor, J. 10 1987 On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. Zbl 1391.34003Cima, A.; Gasull, A.; Mañosas, F. 10 2017 Injectivity of polynomial local homeomorphisms of \(\mathbb{R}^ n\). Zbl 0845.58014Cima, Anna; Gasull, Armengol; Mañosas, Francesc 9 1996 Normal forms for singularities of one dimensional holomorphic vector fields. Zbl 1075.34089Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 9 2004 Some properties of the \(k\)-dimensional Lyness’ map. Zbl 1151.39017Cima, Anna; Gasull, Armengol; Mañosa, Víctor 9 2008 Some applications of the extended Bendixson-Dulac theorem. Zbl 1300.34067Gasull, Armengol; Giacomini, Hector 9 2013 Centre and isochronicity conditions for systems with homogeneous nonlinearities. Zbl 0909.34030Gasull, A.; Guillamon, A.; Mañosa, V. 9 1995 Integrability of Liénard systems with a weak saddle. Zbl 1379.37048Gasull, Armengol; Giné, Jaume 9 2017 Seeking Darboux polynomials. Zbl 1365.34060Ferragut, Antoni; Gasull, Armengol 9 2015 Some applications of the Euler-Jacobi formula to differential equations. Zbl 0787.34030Cima, Anna; Gasull, Armengol; Mañosas, Francesc 8 1993 Periodic orbits for perturbed non-autonomous differential equations. Zbl 1268.34072Coll, B.; Gasull, A.; Prohens, R. 8 2012 On the period function for a family of complex differential equations. Zbl 1103.34026Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 8 2006 Upper bounds for the number of limit cycles of some planar polynomial differential systems. Zbl 1200.34035Gasull, Armengol; Giacomini, Hector 8 2010 Topological classification of polynomial complex differential equations with all the critical points of centre type. Zbl 1201.37022Álvarez, M. J.; Gasull, A.; Prohens, R. 8 2010 A theoretical basis for the Harmonic Balance Method. Zbl 1276.34034García-Saldaña, Johanna D.; Gasull, Armengol 8 2013 Nonexistence of limit cycles for some predator-prey systems. Zbl 0938.34515Gasull, A.; Guillamon, A. 8 1993 Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations. Zbl 0876.34035Gasull, A.; Guillamon, A. 8 1995 From Abel’s differential equations to Hilbert’s sixteenth problem. Zbl 1322.34052Gasull i Embid, Armengol 8 2013 Integrability and non-integrability of periodic non-autonomous Lyness recurrences. Zbl 1288.39006Cima, Anna; Gasull, Armengol; Mañosa, Víctor 7 2013 Probability of occurrence of some planar random quasi-homogeneous vector fields. Zbl 1508.34067Coll, B.; Gasull, A.; Prohens, R. 1 2022 On the equilateral pentagonal central configurations. Zbl 1513.70041Alvarez-Ramírez, M.; Gasull, A.; Llibre, J. 1 2022 Discrete Melnikov functions. Zbl 1514.39004Gasull, Armengol; Valls, Claudia 1 2022 Some open problems in low dimensional dynamical systems. Zbl 1487.37024Gasull, Armengol 7 2021 Stability index of linear random dynamical systems. Zbl 1474.37054Cima, Anna; Gasull, Armengol; Mañosa, Victor 3 2021 Phase portraits of random planar homogeneous vector fields. Zbl 1461.37053Cima, Anna; Gasull, Armengol; Mañosa, Víctor 2 2021 Effectiveness of the Bendixson-Dulac theorem. Zbl 1490.34031Gasull, Armengol; Giacomini, Hector 2 2021 The local period function for Hamiltonian systems with applications. Zbl 1469.34050Buzzi, Claudio Aguinaldo; Carvalho, Yagor Romano; Gasull, Armengol 1 2021 Limit cycles for some families of smooth and non-smooth planar systems. Zbl 1470.34091Buzzi, Claudio A.; Carvalho, Yagor Romano; Gasull, Armengol 1 2021 Piecewise linear differential systems with an algebraic line of separation. Zbl 1440.34032Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 6 2020 A note on the Lyapunov and period constants. Zbl 1447.34030Cima, A.; Gasull, A.; Mañosas, F. 6 2020 Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem. Zbl 1432.37045Gasull, Armengol; Mañosa, Víctor 5 2020 Highest weak focus order for trigonometric Liénard equations. Zbl 1450.34022Gasull, Armengol; Giné, Jaume; Valls, Claudia 3 2020 A Chebyshev criterion with applications. Zbl 1446.34049Gasull, A.; Geyer, A.; Mañosas, F. 2 2020 Many periodic solutions for a second order cubic periodic differential equation. Zbl 1453.34060Buică, Adriana; Gasull, Armengol 1 2020 Around some extensions of Casas-Alvero conjecture for non-polynomial functions. Zbl 1461.30017Cima, A.; Gasull, A.; Mañosas, F. 1 2020 A new approach for the study of limit cycles. Zbl 1446.34048García-Saldaña, J. D.; Gasull, A.; Giacomini, H. 1 2020 Fixed and moving limit cycles for Liénard equations. Zbl 1453.34039Gasull, Armengol; Sabatini, Marco 4 2019 Rational parameterizations approach for solving equations in some dynamical systems problems. Zbl 1423.34040Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 3 2019 Smooth linearisation of planar periodic maps. Zbl 1423.37027Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R. 3 2019 Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077Bohner, Martin; Gasull, Armengol; Valls, Claudia 2 2019 Parrondo’s dynamic paradox for the stability of non-hyperbolic fixed points. Zbl 1379.37043Cima, Anna; Gasull, Armengol; Mañosa, Víctor 4 2018 Periodic points of a Landen transformation. Zbl 07265271Gasull, Armengol; Llorens, Mireia; Mañosa, Víctor 3 2018 Algebraic limit cycles in piecewise linear differential systems. Zbl 1388.34021Buzzi, Claudio A.; Gasull, Armengol; Torregrosa, Joan 3 2018 Bifurcation of 2-periodic orbits from non-hyperbolic fixed points. Zbl 1378.37088Cima, Anna; Gasull, Armengol; Mañosa, Víctor 1 2018 On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. Zbl 1391.34003Cima, A.; Gasull, A.; Mañosas, F. 10 2017 Integrability of Liénard systems with a weak saddle. Zbl 1379.37048Gasull, Armengol; Giné, Jaume 9 2017 Center problem for trigonometric Liénard systems. Zbl 1371.34043Gasull, Armengol; Giné, Jaume; Valls, Claudia 5 2017 Global behaviour of the period function of the sum of two quasi-homogeneous vector fields. Zbl 1369.34046Álvarez, M. J.; Gasull, A.; Prohens, R. 3 2017 Effective construction of Poincaré-Bendixson regions. Zbl 1456.34026Gasull, Armengol; Giacomini, Hector; Grau, Maite 3 2017 Quantitative analysis of competition models. Zbl 1376.34046Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura 1 2017 Detection of special curves via the double resultant. Zbl 1391.13055Ferragut, Antoni; García-Saldaña, Johanna D.; Gasull, Armengol 1 2017 On the number of limit cycles for perturbed pendulum equations. Zbl 1346.34029Gasull, A.; Geyer, A.; Mañosas, F. 15 2016 The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang 10 2016 Center problem for systems with two monomial nonlinearities. Zbl 1388.34024Gasull, Armengol; Giné, Jaume; Torregrosa, Joan 6 2016 Different approaches to the global periodicity problem. Zbl 1355.39021Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc 4 2016 Linearization of planar homeomorphisms with a compact attractor. Zbl 1364.37051Gasull, Armengol; Groisman, Jorge; Mañosas, Francesc 2 2016 Bifurcation values for a family of planar vector fields of degree five. Zbl 1319.34066García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector 13 2015 Explicit travelling waves and invariant algebraic curves. Zbl 1320.35136Gasull, Armengol; Giacomini, Hector 12 2015 Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060Gasull, Armengol; Yu, Jiang; Zhang, Xiang 11 2015 Seeking Darboux polynomials. Zbl 1365.34060Ferragut, Antoni; Gasull, Armengol 9 2015 Stability of singular limit cycles for Abel equations. Zbl 1312.34080Bravo, José Luis; Fernández, Manuel; Gasull, Armengol 7 2015 Limit cycles for 3-monomial differential equations. Zbl 1323.34037Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 5 2015 Non-integrability of measure preserving maps via Lie symmetries. Zbl 1355.37038Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2015 The period function and the harmonic balance method. Zbl 1315.34047García-Saldaña, Johanna D.; Gasull, Armengol 3 2015 Linearization of planar involutions in \(\mathcal C^1\). Zbl 1352.37053Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R. 2 2015 Maxima of gamma random variables and other Weibull-like distributions and the Lambert \(W\) function. Zbl 1332.60072Gasull, Armengol; López-Salcedo, José A.; Utzet, Frederic 2 2015 On the norming constants for normal maxima. Zbl 1334.60092Gasull, Armengol; Jolis, Maria; Utzet, Frederic 1 2015 Traveling surface waves of moderate amplitude in shallow water. Zbl 1385.37081Gasull, Armengol; Geyer, Anna 17 2014 Approximating Mills ratio. Zbl 1415.60014Gasull, Armengol; Utzet, Frederic 13 2014 Bifurcation diagram and stability for a one-parameter family of planar vector fields. Zbl 1308.34048García-Saldaña, J. D.; Gasull, A.; Giacomini, H. 7 2014 Basin of attraction of triangular maps with applications. Zbl 1319.39007Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2014 On the global asymptotic stability of difference equations satisfying a Markus-Yamabe condition. Zbl 1308.39015Cima, Anna; Gasull, Armengol; Mañosas, Francesc 2 2014 Non-algebraic oscillations for predator-prey models. Zbl 1310.34054Ferragut, Antoni; Gasull, Armengol 1 2014 A simple solution of some composition conjectures for Abel equations. Zbl 1269.34035Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2013 An explicit bound of the number of vanishing double moments forcing composition. Zbl 1290.34015Cima, Anna; Gasull, Armengol; Mañosas, Francesc 10 2013 Some applications of the extended Bendixson-Dulac theorem. Zbl 1300.34067Gasull, Armengol; Giacomini, Hector 9 2013 A theoretical basis for the Harmonic Balance Method. Zbl 1276.34034García-Saldaña, Johanna D.; Gasull, Armengol 8 2013 From Abel’s differential equations to Hilbert’s sixteenth problem. Zbl 1322.34052Gasull i Embid, Armengol 8 2013 Integrability and non-integrability of periodic non-autonomous Lyness recurrences. Zbl 1288.39006Cima, Anna; Gasull, Armengol; Mañosa, Víctor 7 2013 A proof of Perko’s conjectures for the Bogdanov-Takens system. Zbl 1301.34054Gasull, A.; Giacomini, H.; Pérez-González, S.; Torregrosa, J. 7 2013 Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations. Zbl 1283.34046Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan 6 2013 Global periodicity conditions for maps and recurrences via normal forms. Zbl 1284.37039Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2013 On a family of polynomial differential equations having at most three limit cycles. Zbl 1283.34030Gasull, Armengol; Zhao, Yulin 3 2013 Upper bounds for the number of zeroes for some abelian integrals. Zbl 1254.34049Gasull, 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 1241.34037Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 23 2012 Centers for trigonometric Abel equations. Zbl 1264.34055Cima, Anna; Gasull, Armengol; Mañosas, Francesc 17 2012 A new Chebyshev family with applications to Abel equations. Zbl 1233.41003Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan 16 2012 On the Chebyshev property for a new family of functions. Zbl 1234.41022Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan 13 2012 On 2- and 3-periodic Lyness difference equations. Zbl 1248.39008Cima, Anna; Gasull, Armengol; Mañosa, Víctor 10 2012 Periodic orbits for perturbed non-autonomous differential equations. Zbl 1268.34072Coll, B.; Gasull, A.; Prohens, R. 8 2012 Nonautonomous two-periodic Gumovski-Mira difference equations. Zbl 1258.37015Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2012 Global linearization of periodic difference equations. Zbl 1237.39002Cima, Anna; Gasull, Armengol; Mañosas, Francesc 4 2012 Simple examples of planar involutions with non-global Montgomery-Bochner linearizations. Zbl 1278.37029Cima, Anna; Gasull, Armengol; Mañosas, Francesc 4 2012 Rational periodic sequences for the Lyness recurrence. Zbl 1306.39006Gasull, A.; Mañosa, Víctor; Xarles, Xavier 4 2012 Limit cycles for two families of cubic systems. Zbl 1259.34022Álvarez, M. J.; Gasull, A.; Prohens, R. 3 2012 On Coxeter recurrences. Zbl 1266.39014Cima, Anna; Gasull, Armengol; Mañosas, Francesc 2 2012 New periodic recurrences with applications. Zbl 1228.39010Cima, Anna; Gasull, Armengol; Mañosas, Francesc 4 2011 On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049Gasull, Armengol; Liu, Changjian; Yang, Jiazhong 12 2010 Cyclicity versus center problem. Zbl 1210.34049Gasull, Armengol; Giné, Jaume 12 2010 Some results on homoclinic and heteroclinic connections in planar systems. Zbl 1215.34045Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan 10 2010 Upper bounds for the number of limit cycles of some planar polynomial differential systems. Zbl 1200.34035Gasull, Armengol; Giacomini, Hector 8 2010 Topological classification of polynomial complex differential equations with all the critical points of centre type. Zbl 1201.37022Álvarez, M. J.; Gasull, A.; Prohens, R. 8 2010 On Poncelet’s maps. Zbl 1201.51024Cima, Anna; Gasull, Armengol; Mañosa, Víctor 5 2010 A note on the period function for certain planar vector fields. Zbl 1203.34065Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 4 2010 Absolute cyclicity, Lyapunov quantities and center conditions. Zbl 1190.34035Caubergh, M.; Gasull, A. 2 2010 Chini equations and isochronous centers in three-dimensional differential systems. Zbl 1364.34055Chamberland, Marc; Gasull, Armengol 2 2010 Limit cycles for some Abel equations having coefficients without fixed signs. Zbl 1182.34056Bravo, J. L.; Fernández, M.; Gasull, A. 21 2009 One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060Gasull, Armengol; Llibre, Jaume; Zhang, Xiang 20 2009 New criteria for the existence and non-existence of limit cycles in Liénard differential systems. Zbl 1194.34049Gasull, Armengol; Giacomini, Hector; Llibre, Jaume 7 2009 Configurations of critical points in complex polynomial differential equations. Zbl 1184.34085Álvarez, M. J.; Gasull, A.; Prohens, R. 6 2009 On persistent centers. Zbl 1183.34041Cima, Anna; Gasull, Armengol; Medrado, João C. 4 2009 On the number of critical periods for planar polynomial systems. Zbl 1157.34021Cima, Anna; Gasull, Armengol; da Silva, Paulo R. 22 2008 Bifurcation of limit cycles from a polynomial non-global center. Zbl 1166.34017Gasull, A.; Prohens, R.; Torregrosa, J. 22 2008 On the critical periods of perturbed isochronous centers. Zbl 1143.34024Gasull, Armengol; Yu, Jiang 18 2008 Studying discrete dynamical systems through differential equations. Zbl 1131.37025Cima, Anna; Gasull, Armengol; Mañosa, Víctor 17 2008 Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035Gasull, A.; Zhao, Y. 17 2008 Lower bounds for the number of limit cycles of trigonometric Abel equations. Zbl 1362.34068Álvarez, M. J.; Gasull, A.; Yu, J. 13 2008 Simultaneous bifurcation of limit cycles from two nests of periodic orbits. Zbl 1144.34027Garijo, Antonio; Gasull, Armengol; Jarque, Xavier 12 2008 Some properties of the \(k\)-dimensional Lyness’ map. Zbl 1151.39017Cima, Anna; Gasull, Armengol; Mañosa, Víctor 9 2008 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 933 Authors 135 Llibre, Jaume 124 Gasull, Armengol 66 Giné, Jaume 66 Valls Anglés, Cláudia 52 Han, Maoan 44 Torregrosa, Joan 41 Cima, Anna 35 Mañosa, Víctor 33 Mañosas, Francesc 31 Liu, Yirong 24 Li, Feng 23 Romanovskiĭ, Valeriĭ Georgievich 23 Villadelprat, Jordi 22 Algaba, Antonio 22 Prohens, Rafel 21 Zhang, Xiang 20 Zhao, Yulin 18 García, Cristóbal 18 García, Isaac A. 18 Wu, Yusen 17 Alvarez, María Jesus 17 Giacomini, Hector J. 16 Bravo, José Luis 16 Grau, Maite 16 Yu, Pei 15 Zhang, Weinian 14 Liang, Haihua 13 Chen, Xingwu 13 Guillamon, Antoni 13 Huang, Jianfeng 13 Huang, Wentao 13 Li, Shimin 12 Li, Jibin 12 Liang, Feng 12 Liu, Changjian 11 Sabatini, Marco 11 Zhao, Liqin 10 Coll, Bartomeu 10 Ferragut, Antoni 10 Geyer, Anna 10 Oliveira, Regilene D. S. 10 Teixeira, Marco Antonio 10 Yang, Jihua 9 Bastien, Guy 9 Bendjeddou, Ahmed 9 Chen, Ting 9 Reyes, Manuel 9 Rogalski, Marc 8 Buică, Adriana 8 Chen, Haibo 8 Du, Zhengdong 8 Peng, Linping 8 van den Essen, Arno 8 Yang, Zhenhang 8 Yomdin, Yosef 7 Boukoucha, Rachid 7 Chen, Hebai 7 Da Silva, Paulo Ricardo 7 Gouveia, Luiz F. S. 7 Jarque, Xavier 7 Li, Chengzhi 7 Rabanal, Roland 7 Wang, Qinlong 7 Zanolin, Fabio 6 Artés, Joan Carles 6 Buzzi, Claudio Aguinaldo 6 Castañeda, Alvaro 6 Cen, Xiuli 6 Ferčec, Brigita 6 Françoise, Jean-Pierre 6 García, Belén 6 Grin, Alexander A. 6 Guo, Laigang 6 Liu, Yuanyuan 6 Novaes, Douglas Duarte 6 Pakovich, Fedor 6 Pérez del Río, Jesús S. 6 Tang, Yilei 6 Tian, Yun 6 Wu, Yuhai 6 Yu, Jiang 5 Asheghi, Rasoul 5 Chamberland, Marc 5 Chavarriga, Javier 5 Chen, Yufu 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 Li, Hongwei 5 Li, Weigu 5 Maza, Susanna 5 Pessoa, Claudio 5 Schlomiuk, Dana I. 5 Shafer, Douglas S. ...and 833 more Authors all top 5 Cited in 205 Serials 145 Journal of Differential Equations 120 Journal of Mathematical Analysis and Applications 108 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 75 Qualitative Theory of Dynamical Systems 41 Nonlinear Analysis. 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RACSAM 2 Analysis and Mathematical Physics ...and 105 more Serials all top 5 Cited in 51 Fields 939 Ordinary differential equations (34-XX) 412 Dynamical systems and ergodic theory (37-XX) 74 Difference and functional equations (39-XX) 72 Biology and other natural sciences (92-XX) 54 Partial differential equations (35-XX) 44 Algebraic geometry (14-XX) 33 Mechanics of particles and systems (70-XX) 22 Real functions (26-XX) 16 Operator theory (47-XX) 15 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) 13 Numerical analysis (65-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Fluid mechanics (76-XX) 11 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) 5 General topology (54-XX) 5 Manifolds and cell complexes (57-XX) 4 Statistics (62-XX) 4 Mechanics of deformable solids (74-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 Game theory, economics, finance, and other social and behavioral sciences (91-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) 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) 1 Information and communication theory, circuits (94-XX) Citations by Year