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## Gasull, Armengol

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 Author ID: gasull.armengol Published as: Armengol, Gasull; Gasull i Embid, Armengol; Gasull, A.; Gasull, Armengol Homepage: http://www.gsd.uab.cat/index.php?option=com_jresearch&view=member&task=show&form... External Links: ORCID
 Documents Indexed: 201 Publications since 1985 Reviewing Activity: 102 Reviews
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#### Co-Authors

 7 single-authored 50 Cima, Anna 40 Mañosas, Francesc 31 Mañosa, Víctor 27 Torregrosa, Joan 24 Prohens, Rafel 18 Llibre, Jaume 16 Coll, Bartomeu 16 Giacomini, Hector J. 15 Guillamon, Antoni 10 Alvarez, María Jesus 6 García-Saldaña, Johanna D. 6 Giné, Jaume 5 Garijo, Antonio 5 Jarque, Xavier 5 Li, Chengzhi 4 Ferragut, Antoni 4 Freire Macías, Emilio 4 Sotomayor, Jorge 4 Zhang, Xiang 3 Geyer, Anna 3 Grau, Maite 3 Utzet, Frederic 3 Valls Anglés, Cláudia 3 Yu, Jiang 2 Bravo, José Luis 2 Buică, Adriana 2 Buzzi, Claudio Aguinaldo 2 Chamberland, Marc 2 Lázaro, Jose Tomas 2 Liu, Changjian 2 Llorens, Mireia 2 Ortega, Rafael 2 Sheng, Liren 2 Villadelprat, Jordi 2 Yang, Jiazhong 2 Zhang, Zhifen 2 Zhao, Yulin 1 Bohner, Martin J. 1 Carvalho, Yagor Romano 1 Caubergh, Magdalena 1 Chenciner, Alain 1 Chiralt, Cristina 1 Cumplido, María 1 Da Silva, Paulo Ricardo 1 Fernandez, Manuel Jose 1 Fernandez, Marcos 1 García, Rafael Antonio 1 Groisman, Jorge 1 Hartmann, Julia 1 Hubbers, Engelbert 1 Jolis, Maria 1 Kooij, Robert E. 1 Lázaro, J. Tomás 1 Li, Weigu 1 López-Salcedo, José A. 1 Medrado, João C. R. 1 Montolio, Pere 1 Pérez-González, Set 1 Sabatini, Marco 1 van den Essen, Arno 1 Vindel, Pura 1 Walcher, Sebastian 1 Xarles, Xavier
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#### Serials

 33 Journal of Differential Equations 24 Journal of Mathematical Analysis and Applications 10 Discrete and Continuous Dynamical Systems 10 Qualitative Theory of Dynamical Systems 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Journal of Difference Equations and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Bulletin des Sciences Mathématiques 5 Publicacions Matemàtiques 4 Rocky Mountain Journal of Mathematics 4 Proceedings of the American Mathematical Society 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Communications on Pure and Applied Analysis 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 La Gaceta de la Real Sociedad Matemática Española 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Butlletí de la Societat Catalana de Matemàtiques 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 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 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 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Applied Analysis and Computation
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#### Fields

 156 Ordinary differential equations (34-XX) 88 Dynamical systems and ergodic theory (37-XX) 26 Difference and functional equations (39-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-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 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

168 Publications have been cited 1,776 times in 951 Documents Cited by Year
Limit cycles for a class of Abel equations. Zbl 0732.34025
Gasull, A.; Llibre, J.
1990
An explicit expression of the first Lyapunov and period constants with applications. Zbl 0882.34040
Gasull, Armengol; Guillamon, Antoni; Mañosa, Víctor
1997
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
2005
Generating limit cycles from a nilpotent critical point via normal forms. Zbl 1100.34030
Álvarez, M. J.; Gasull, A.
2006
Period function for a class of Hamiltonian systems. Zbl 0991.37039
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2000
Algebraic properties of the Lyapunov and period constants. Zbl 0911.34025
Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc
1997
Center-focus problem for discontinuous planar differential equations. Zbl 1077.34031
Gasull, Armengol; Torregrosa, Joan
2003
Bifurcation of limit cycles from two families of centers. Zbl 1074.34038
Coll, B.; Gasull, A.; Prohens, R.
2005
A polynomial counterexample to the Markus-Yamabe conjecture. Zbl 0896.34042
Cima, Anna; van den Essen, Arno; Gasull, Armengol; Hubbers, Engelbert; Mañosas, Francese
1997
A new approach to the computation of the Lyapunov constants. Zbl 1127.34318
Gasull, Armengol; Torregrosa, Joan
2001
Center problem for several differential equations via Cherkas’ method. Zbl 0926.34022
Gasull, Armengol; Torregrosa, Joan
1998
Limit cycles in the Holling-Tanner model. Zbl 0880.34028
Gasull, Armengol; Kooij, Robert E.; Torregrosa, Joan
1997
A new uniqueness criterion for the number of periodic orbits of Abel equations. Zbl 1118.34036
Álvarez, M. J.; Gasull, A.; Giacomini, H.
2007
First derivative of the period function with applications. Zbl 1063.34025
Freire, Emilio; Gasull, Armengol; Guillamon, Antoni
2004
Limit cycles for generalized Abel equations. Zbl 1140.34348
Gasull, Armengol; Guillamon, Antoni
2006
A new algorithm for the computation of the Lyapunov constants for some degenerated critical points. Zbl 1042.34528
Gasull, Armengol; Torregrosa, Joan
2001
The focus-centre problem for a type of degenerate system. Zbl 0962.34067
Gasull, Armengol; Llibre, Jaume; Mañosa, Víctor; Mañosas, Francesc
2000
The discrete Markus-Yamabe problem. Zbl 0919.34042
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
1999
Upper bounds for the number of zeroes for some abelian integrals. Zbl 1254.34049
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan
2012
The period function for Hamiltonian systems with homogeneous nonlinearities. Zbl 0891.34033
Gasull, A.; Guillamon, A.; Mañosa, V.; Mañosas, F.
1997
Dynamics of some rational discrete dynamical systems via invariants. Zbl 1141.37310
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2006
Limit cycles for rigid cubic systems. Zbl 1076.34031
Gasull, A.; Prohens, R.; Torregrosa, J.
2005
Small-amplitude limit cycles in Liénard systems via multiplicity. Zbl 0947.34014
Gasull, Armengol; Torregrosa, Joan
1999
Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems. Zbl 0616.34028
Coll, B.; Gasull, A.; Llibre, J.
1987
On the number of critical periods for planar polynomial systems. Zbl 1157.34021
Cima, Anna; Gasull, Armengol; da Silva, Paulo R.
2008
Chebyshev property of complete elliptic integrals and its application to Abelian integrals. Zbl 1086.34523
Gasull, Armengol; Li, Weigu; Llibre, Jaume; Zhang, Zhifen
2002
Differential equations defined by the sum of two quasi-homogeneous vector fields. Zbl 0990.34030
Coll, B.; Gasull, A.; Prohens, R.
1997
Cyclicity of a family of vector fields. Zbl 0851.34027
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
1995
Gasull, Armengol; Sheng, Li-Ren; Llibre, Jaume
1986
Bifurcation of limit cycles from a polynomial non-global center. Zbl 1166.34017
Gasull, A.; Prohens, R.; Torregrosa, J.
2008
Global periodicity and complete integrability of discrete dynamical systems. Zbl 1127.39010
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2006
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
2012
On the critical periods of perturbed isochronous centers. Zbl 1143.34024
Gasull, Armengol; Yu, Jiang
2008
Dynamics of the third order Lyness’ difference equation. Zbl 1129.39003
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2007
Monodromy and stability of a class of degenerate planar critical points. Zbl 1013.34028
Gasull, A.; Mañosa, V.; Mañosas, F.
2002
Global asymptotic stability of differential equations in the plane. Zbl 0732.34045
Gasull, Armengol; Llibre, Jaume; Sotomayor, Jorge
1991
Studying discrete dynamical systems through differential equations. Zbl 1131.37025
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2008
On periodic rational difference equations of order $$k$$. Zbl 1053.39008
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2004
A new criterion for controlling the number of limit cycles of some generalized Liénard equations. Zbl 1032.34028
Gasull, Armengol; Giacomini, Hector
2002
A simple solution of some composition conjectures for Abel equations. Zbl 1269.34035
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2013
Limit cycles for some Abel equations having coefficients without fixed signs. Zbl 1182.34056
Bravo, J. L.; Fernández, M.; Gasull, A.
2009
Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035
Gasull, A.; Zhao, Y.
2008
A characterization of isochronous centres in terms of symmetries. Zbl 1087.34010
Freire, Emilio; Gasull, Armengol; Guillamon, Antoni
2004
Centers for trigonometric Abel equations. Zbl 1264.34055
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2012
A relation between small amplitude and big limit cycles. Zbl 1041.34016
Gasull, Armengol; Torregrosa, Joan
2001
On polynomial Hamiltonian planar vector fields. Zbl 0792.34026
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
1993
Traveling surface waves of moderate amplitude in shallow water. Zbl 1385.37081
Gasull, Armengol; Geyer, Anna
2014
On the Chebyshev property for a new family of functions. Zbl 1234.41022
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan
2012
A new Chebyshev family with applications to Abel equations. Zbl 1233.41003
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
2012
The third order Melnikov function of a quadratic center under quadratic perturbations. Zbl 1125.34022
Buica, Adriana; Gasull, Armengol; Yang, Jiazhong
2007
The period function for second-order quadratic ODEs is monotone. Zbl 1074.34033
Gasull, Armengol; Guillamon, Antoni; Villadelprat, Jordi
2003
Period function for perturbed isochronous centres. Zbl 1087.34021
Freire, Emilio; Gasull, Armengol; Guillamon, Antoni
2002
Phase portrait of Hamiltonian systems with homogeneous nonlinearities. Zbl 0965.34015
Gasull, Armengol; Guillamon, Antoni; Mañosa, Victor
2000
Bifurcation values for a family of planar vector fields of degree five. Zbl 1319.34066
García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector
2015
Cyclicity versus center problem. Zbl 1210.34049
Gasull, Armengol; Giné, Jaume
2010
Local and global phase portrait of equation $$\dot z=f(z)$$. Zbl 1125.34025
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2007
Explicit non-algebraic limit cycles for polynomial systems. Zbl 1171.34021
Gasull, A.; Giacomini, H.; Torregrosa, J.
2007
Periodic orbits in complex Abel equations. Zbl 1117.34036
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2007
The center problem for discontinuous Liénard differential equation. Zbl 1089.34512
Coll, B.; Prohens, R.; Gasull, A.
1999
On the number of limit cycles for perturbed pendulum equations. Zbl 1346.34029
Gasull, A.; Geyer, A.; Mañosas, F.
2016
Approximating Mills ratio. Zbl 1415.60014
Gasull, Armengol; Utzet, Frederic
2014
On 2- and 3-periodic Lyness difference equations. Zbl 1248.39008
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2012
Simultaneous bifurcation of limit cycles from two nests of periodic orbits. Zbl 1144.34027
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2008
Some results on rigid systems. Zbl 1107.34310
Gasull, A.; Torregrosa, J.
2005
Exact number of limit cycles for a family of rigid systems. Zbl 1062.34030
Gasull, A.; Torregrosa, J.
2005
A Darboux-type theory of integrability for discrete dynamical systems. Zbl 1013.39008
Gasull, Armengol; Mañosa, Víctor
2002
Centre and isochronicity conditions for systems with homogeneous nonlinearities. Zbl 0909.34030
Gasull, A.; Guillamon, A.; Mañosa, V.
1995
Explicit travelling waves and invariant algebraic curves. Zbl 1320.35136
Gasull, Armengol; Giacomini, Hector
2015
An explicit bound of the number of vanishing double moments forcing composition. Zbl 1290.34015
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2013
One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060
Gasull, Armengol; Llibre, Jaume; Zhang, Xiang
2009
On the period of the limit cycles appearing in one-parameter bifurcations. Zbl 1081.34037
Gasull, Armengol; Mañosa, Víctor; Villadelprat, Jordi
2005
On the relation between index and multiplicity. Zbl 0922.57022
Cima, Anna; Gasull, Armengol; Torregrosa, Joan
1998
Quadratic systems with a unique finite rest point. Zbl 0674.34027
Coll, B.; Gasull, A.; Llibre, J.
1988
Some results on homoclinic and heteroclinic connections in planar systems. Zbl 1215.34045
Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan
2010
On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049
Gasull, Armengol; Liu, Changjian; Yang, Jiazhong
2010
Some properties of the $$k$$-dimensional Lyness’ map. Zbl 1151.39017
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2008
Normal forms for singularities of one dimensional holomorphic vector fields. Zbl 1075.34089
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2004
Quadratic and cubic systems with degenerate infinity. Zbl 0851.34028
Gasull, A.; Prohens, R.
1996
Injectivity of polynomial local homeomorphisms of $$\mathbb{R}^ n$$. Zbl 0845.58014
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
1996
Limit cycles of vector fields of the form $$X(v)=Av+f(v)Bv$$. Zbl 0642.34022
Gasull, A.; Llibre, J.; Sotomayor, J.
1987
The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020
Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang
2016
Upper bounds for the number of limit cycles through linear differential equations. Zbl 1135.34027
Gasull, Armengol; Giacomini, Hector
2006
Center-focus and isochronous center problems for discontinuous differential equations. Zbl 1039.34022
Coll, B.; Gasull, A.; Prohens, R.
2000
Nonexistence of limit cycles for some predator-prey systems. Zbl 0938.34515
Gasull, A.; Guillamon, A.
1993
On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. Zbl 1391.34003
Cima, A.; Gasull, A.; Mañosas, F.
2017
Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060
Gasull, Armengol; Yu, Jiang; Zhang, Xiang
2015
Bifurcation diagram and stability for a one-parameter family of planar vector fields. Zbl 1308.34048
García-Saldaña, J. D.; Gasull, A.; Giacomini, H.
2014
A proof of Perko’s conjectures for the Bogdanov-Takens system. Zbl 1301.34054
Gasull, A.; Giacomini, H.; Pérez-González, S.; Torregrosa, J.
2013
Periodic orbits for perturbed non-autonomous differential equations. Zbl 1268.34072
Coll, B.; Gasull, A.; Prohens, R.
2012
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.
2010
Lower bounds for the number of limit cycles of trigonometric Abel equations. Zbl 1362.34068
Álvarez, M. J.; Gasull, A.; Yu, J.
2008
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
2007
On the period function for a family of complex differential equations. Zbl 1103.34026
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2006
An analytic-numerical method for computation of the Liapunov and period constants derived from their algebraic structure. Zbl 0935.65078
Gasull, Armengol; Guillamon, Antoni; Mañosa, Víctor
1999
Further considerations on the number of limit cycles of vector fields of the form $$X(v)=Av+f(v)Bv$$. Zbl 0625.34024
Gasull, A.; Llibre, J.; Sotomayor, J.
1987
Center problem for trigonometric Liénard systems. Zbl 1371.34043
Gasull, Armengol; Giné, Jaume; Valls, Claudia
2017
Integrability of Liénard systems with a weak saddle. Zbl 1379.37048
Gasull, Armengol; Giné, Jaume
2017
Seeking Darboux polynomials. Zbl 1365.34060
Ferragut, Antoni; Gasull, Armengol
2015
Non-integrability of measure preserving maps via Lie symmetries. Zbl 1355.37038
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2015
Integrability and non-integrability of periodic non-autonomous Lyness recurrences. Zbl 1288.39006
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2013
Periodic orbits of discrete and continuous dynamical systems via Poincaré-Miranda theorem. Zbl 1432.37045
Gasull, Armengol; Mañosa, Víctor
2020
A note on the Lyapunov and period constants. Zbl 1447.34030
Cima, A.; Gasull, A.; Mañosas, F.
2020
Fixed and moving limit cycles for Liénard equations. Zbl 1453.34039
Gasull, Armengol; Sabatini, Marco
2019
Smooth linearisation of planar periodic maps. Zbl 1423.37027
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
2019
Rational parameterizations approach for solving equations in some dynamical systems problems. Zbl 1423.34040
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan
2019
Periodic solutions of linear, Riccati, and Abel dynamic equations. Zbl 1405.34077
Bohner, Martin; Gasull, Armengol; Valls, Claudia
2019
Parrondo’s dynamic paradox for the stability of non-hyperbolic fixed points. Zbl 1379.37043
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2018
Bifurcation of 2-periodic orbits from non-hyperbolic fixed points. Zbl 1378.37088
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2018
On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations. Zbl 1391.34003
Cima, A.; Gasull, A.; Mañosas, F.
2017
Center problem for trigonometric Liénard systems. Zbl 1371.34043
Gasull, Armengol; Giné, Jaume; Valls, Claudia
2017
Integrability of Liénard systems with a weak saddle. Zbl 1379.37048
Gasull, Armengol; Giné, Jaume
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.
2017
Detection of special curves via the double resultant. Zbl 1391.13055
Ferragut, Antoni; García-Saldaña, Johanna D.; Gasull, Armengol
2017
Quantitative analysis of competition models. Zbl 1376.34046
Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura
2017
On the number of limit cycles for perturbed pendulum equations. Zbl 1346.34029
Gasull, A.; Geyer, A.; Mañosas, F.
2016
The number of polynomial solutions of polynomial Riccati equations. Zbl 1359.34020
Gasull, Armengol; Torregrosa, Joan; Zhang, Xiang
2016
Center problem for systems with two monomial nonlinearities. Zbl 1388.34024
Gasull, Armengol; Giné, Jaume; Torregrosa, Joan
2016
Linearization of planar homeomorphisms with a compact attractor. Zbl 1364.37051
Gasull, Armengol; Groisman, Jorge; Mañosas, Francesc
2016
Different approaches to the global periodicity problem. Zbl 1355.39021
Cima, Anna; Gasull, Armengol; Mañosa, Víctor; Mañosas, Francesc
2016
Bifurcation values for a family of planar vector fields of degree five. Zbl 1319.34066
García-Saldaña, Johanna D.; Gasull, Armengol; Giacomini, Hector
2015
Explicit travelling waves and invariant algebraic curves. Zbl 1320.35136
Gasull, Armengol; Giacomini, Hector
2015
Vector fields with homogeneous nonlinearities and many limit cycles. Zbl 1326.34060
Gasull, Armengol; Yu, Jiang; Zhang, Xiang
2015
Seeking Darboux polynomials. Zbl 1365.34060
Ferragut, Antoni; Gasull, Armengol
2015
Non-integrability of measure preserving maps via Lie symmetries. Zbl 1355.37038
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2015
Limit cycles for 3-monomial differential equations. Zbl 1323.34037
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
2015
Stability of singular limit cycles for Abel equations. Zbl 1312.34080
Bravo, José Luis; Fernández, Manuel; Gasull, Armengol
2015
Linearization of planar involutions in $$\mathcal C^1$$. Zbl 1352.37053
Cima, A.; Gasull, A.; Mañosas, F.; Ortega, R.
2015
The period function and the harmonic balance method. Zbl 1315.34047
García-Saldaña, Johanna D.; Gasull, Armengol
2015
On the norming constants for normal maxima. Zbl 1334.60092
Gasull, Armengol; Jolis, Maria; Utzet, Frederic
2015
Traveling surface waves of moderate amplitude in shallow water. Zbl 1385.37081
Gasull, Armengol; Geyer, Anna
2014
Approximating Mills ratio. Zbl 1415.60014
Gasull, Armengol; Utzet, Frederic
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.
2014
Basin of attraction of triangular maps with applications. Zbl 1319.39007
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2014
On the global asymptotic stability of difference equations satisfying a Markus-Yamabe condition. Zbl 1308.39015
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2014
A simple solution of some composition conjectures for Abel equations. Zbl 1269.34035
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2013
An explicit bound of the number of vanishing double moments forcing composition. Zbl 1290.34015
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2013
A proof of Perko’s conjectures for the Bogdanov-Takens system. Zbl 1301.34054
Gasull, A.; Giacomini, H.; Pérez-González, S.; Torregrosa, J.
2013
Integrability and non-integrability of periodic non-autonomous Lyness recurrences. Zbl 1288.39006
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
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
2013
Global periodicity conditions for maps and recurrences via normal forms. Zbl 1284.37039
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2013
A theoretical basis for the Harmonic Balance Method. Zbl 1276.34034
García-Saldaña, Johanna D.; Gasull, Armengol
2013
From Abel’s differential equations to Hilbert’s sixteenth problem. Zbl 1322.34052
Gasull i Embid, Armengol
2013
Some applications of the extended Bendixson-Dulac theorem. Zbl 1300.34067
Gasull, Armengol; Giacomini, Hector
2013
Upper bounds for the number of zeroes for some abelian integrals. Zbl 1254.34049
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan
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
2012
Centers for trigonometric Abel equations. Zbl 1264.34055
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2012
On the Chebyshev property for a new family of functions. Zbl 1234.41022
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan
2012
A new Chebyshev family with applications to Abel equations. Zbl 1233.41003
Gasull, Armengol; Li, Chengzhi; Torregrosa, Joan
2012
On 2- and 3-periodic Lyness difference equations. Zbl 1248.39008
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2012
Periodic orbits for perturbed non-autonomous differential equations. Zbl 1268.34072
Coll, B.; Gasull, A.; Prohens, R.
2012
Nonautonomous two-periodic Gumovski-Mira difference equations. Zbl 1258.37015
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2012
Global linearization of periodic difference equations. Zbl 1237.39002
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2012
Simple examples of planar involutions with non-global Montgomery-Bochner linearizations. Zbl 1278.37029
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2012
Rational periodic sequences for the Lyness recurrence. Zbl 1306.39006
Gasull, A.; Mañosa, Víctor; Xarles, Xavier
2012
On Coxeter recurrences. Zbl 1266.39014
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2012
New periodic recurrences with applications. Zbl 1228.39010
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2011
Cyclicity versus center problem. Zbl 1210.34049
Gasull, Armengol; Giné, Jaume
2010
Some results on homoclinic and heteroclinic connections in planar systems. Zbl 1215.34045
Gasull, Armengol; Giacomini, Hector; Torregrosa, Joan
2010
On the number of critical periods for planar polynomial systems of arbitrary degree. Zbl 1203.34049
Gasull, Armengol; Liu, Changjian; Yang, Jiazhong
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.
2010
Upper bounds for the number of limit cycles of some planar polynomial differential systems. Zbl 1200.34035
Gasull, Armengol; Giacomini, Hector
2010
On Poncelet’s maps. Zbl 1201.51024
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2010
A note on the period function for certain planar vector fields. Zbl 1203.34065
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2010
Chini equations and isochronous centers in three-dimensional differential systems. Zbl 1364.34055
Chamberland, Marc; Gasull, Armengol
2010
Absolute cyclicity, Lyapunov quantities and center conditions. Zbl 1190.34035
Caubergh, M.; Gasull, A.
2010
Limit cycles for some Abel equations having coefficients without fixed signs. Zbl 1182.34056
Bravo, J. L.; Fernández, M.; Gasull, A.
2009
One-dimensional quaternion homogeneous polynomial differential equations. Zbl 1223.34060
Gasull, Armengol; Llibre, Jaume; Zhang, Xiang
2009
Configurations of critical points in complex polynomial differential equations. Zbl 1184.34085
Álvarez, M. J.; Gasull, A.; Prohens, R.
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
2009
On persistent centers. Zbl 1183.34041
Cima, Anna; Gasull, Armengol; Medrado, João C.
2009
On the number of critical periods for planar polynomial systems. Zbl 1157.34021
Cima, Anna; Gasull, Armengol; da Silva, Paulo R.
2008
Bifurcation of limit cycles from a polynomial non-global center. Zbl 1166.34017
Gasull, A.; Prohens, R.; Torregrosa, J.
2008
On the critical periods of perturbed isochronous centers. Zbl 1143.34024
Gasull, Armengol; Yu, Jiang
2008
Studying discrete dynamical systems through differential equations. Zbl 1131.37025
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2008
Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035
Gasull, A.; Zhao, Y.
2008
Simultaneous bifurcation of limit cycles from two nests of periodic orbits. Zbl 1144.34027
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2008
Some properties of the $$k$$-dimensional Lyness’ map. Zbl 1151.39017
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2008
Lower bounds for the number of limit cycles of trigonometric Abel equations. Zbl 1362.34068
Álvarez, M. J.; Gasull, A.; Yu, J.
2008
On the stability of periodic orbits for differential systems in $$\mathbb{R}^n$$. Zbl 1169.34039
Gasull, Armengol; Giacomini, Héctor; Grau, Maite
2008
Limit cycles for cubic systems with a symmetry of order 4 and without infinite critical points. Zbl 1142.34017
Álvarez, M. J.; Gasull, A.; Prohens, R.
2008
Simple-non-autonomous differential equations with many limit cycles. Zbl 1152.34326
Coll, Bartomeu; Gasull, Armengol; Prohens, Rafel
2008
A new uniqueness criterion for the number of periodic orbits of Abel equations. Zbl 1118.34036
Álvarez, M. J.; Gasull, A.; Giacomini, H.
2007
Dynamics of the third order Lyness’ difference equation. Zbl 1129.39003
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2007
The third order Melnikov function of a quadratic center under quadratic perturbations. Zbl 1125.34022
Buica, Adriana; Gasull, Armengol; Yang, Jiazhong
2007
Local and global phase portrait of equation $$\dot z=f(z)$$. Zbl 1125.34025
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2007
Explicit non-algebraic limit cycles for polynomial systems. Zbl 1171.34021
Gasull, A.; Giacomini, H.; Torregrosa, J.
2007
Periodic orbits in complex Abel equations. Zbl 1117.34036
Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2007
On the number of limit cycles bifurcating from a non-global degenerated center. Zbl 1116.34029
Gasull, Armengol; Li, Chengzhi; Liu, Changjian
2007
Limit cycles and Lie symmetries. Zbl 1121.37023
Freire, Emilio; Gasull, Armengol; Guillamon, Antoni
2007
Multiplicity of limit cycles and analytic $$m$$-solutions for planar differential systems. Zbl 1345.34037
Gasull, Armengol; Giné, Jaume; Grau, Maite
2007
On the number of limit cycles of some systems on the cylinder. Zbl 1248.34029
Álvarez, M. J.; Gasull, A.; Prohens, R.
2007
Characterizing asymptotic stability with Dulac functions. Zbl 1200.34056
Chamberland, Marc; Cima, Anna; Gasull, Armengol; Mañosas, Francesc
2007
Generating limit cycles from a nilpotent critical point via normal forms. Zbl 1100.34030
Álvarez, M. J.; Gasull, A.
2006
Limit cycles for generalized Abel equations. Zbl 1140.34348
Gasull, Armengol; Guillamon, Antoni
2006
Dynamics of some rational discrete dynamical systems via invariants. Zbl 1141.37310
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2006
Global periodicity and complete integrability of discrete dynamical systems. Zbl 1127.39010
Cima, Anna; Gasull, Armengol; Mañosa, Víctor
2006
Upper bounds for the number of limit cycles through linear differential equations. Zbl 1135.34027
Gasull, Armengol; Giacomini, Hector
2006
On the period function for a family of complex differential equations. Zbl 1103.34026
Garijo, Antonio; Gasull, Armengol; Jarque, Xavier
2006
On a criterium of global attraction for discrete dynamical systems. Zbl 1137.39003
Coll, B.; Gasull, A.; Prohens, R.
2006
Monodromy and stability for nilpotent critical points. Zbl 1088.34021
Álvarez, M. J.; Gasull, A.
2005
...and 68 more Documents
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#### Cited by 770 Authors

 112 Llibre, Jaume 108 Gasull, Armengol 57 Giné, Jaume 52 Valls Anglés, Cláudia 45 Han, Maoan 38 Cima, Anna 35 Torregrosa, Joan 31 Liu, Yirong 31 Mañosa, Víctor 31 Mañosas, Francesc 23 Romanovski, Valery G. 21 Villadelprat, Jordi 20 Algaba, Antonio 19 Li, Feng 19 Prohens, Rafel 19 Zhao, Yulin 17 Zhang, Xiang 16 Alvarez, María Jesus 16 García, Cristóbal 15 García, Isaac A. 15 Zhang, Weinian 14 Giacomini, Hector J. 14 Grau, Maite 14 Yu, Pei 13 Bravo, José Luis 13 Guillamon, Antoni 13 Wu, Yusen 12 Chen, Xingwu 12 Li, Shimin 11 Huang, Wentao 11 Li, Jibin 11 Sabatini, Marco 10 Liang, Feng 10 Liang, Haihua 9 Bastien, Guy 9 Ferragut, Antoni 9 Geyer, Anna 9 Reyes, Manuel 9 Rogalski, Marc 9 van den Essen, Arno 8 Huang, Jianfeng 8 Liu, Changjian 8 Yomdin, Yosef 7 Buică, Adriana 7 Coll, Bartomeu 7 Jarque, Xavier 7 Li, Chengzhi 7 Wu, Yuhai 7 Yang, Jihua 6 Chen, Haibo 6 Chen, Ting 6 García, Belén 6 Oliveira, Regilene D. S. 6 Pakovich, Fedor 6 Peng, Linping 6 Pérez del Río, Jesús S. 6 Rabanal, Roland 6 Teixeira, Marco Antonio 6 Wang, Qinlong 6 Zhao, Liqin 5 Artés, Joan Carles 5 Boukoucha, Rachid 5 Castañeda, Alvaro 5 Cen, Xiuli 5 Chamberland, Marc 5 Chavarriga, Javier 5 Chen, Yufu 5 Cherkas, Leonid A. 5 Colak, Ilker E. 5 Ding, Xiaoquan 5 Du, Zhengdong 5 Feng, Zhaosheng 5 Ferčec, Brigita 5 Françoise, Jean-Pierre 5 Freire Macías, Emilio 5 Garijo, Antonio 5 Grin, Alexander A. 5 Gutierrez, Carlos 5 Li, Weigu 5 Maza, Susanna 5 Schlomiuk, Dana I. 5 Shafer, Douglas S. 5 Tang, Yilei 5 Tian, Yun 5 Xiong, Yanqin 5 Yang, Lijun 5 Yang, Zhenhang 5 Yu, Jiang 5 Zhang, Qi 5 Zhang, Zhifen 4 Alarcón, Begoña 4 Briskin, Miriam 4 Caubergh, Magdalena 4 Chen, Hebai 4 Dias, Kealey 4 Du, Chaoxiong 4 Fernandes, Wilker 4 García-Saldaña, Johanna D. 4 Guíñez, Víctor 4 Guo, Laigang ...and 670 more Authors
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#### Cited in 166 Serials

 121 Journal of Differential Equations 110 Journal of Mathematical Analysis and Applications 92 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 53 Qualitative Theory of Dynamical Systems 39 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Journal of Difference Equations and Applications 24 Applied Mathematics and Computation 21 Bulletin des Sciences Mathématiques 18 Proceedings of the American Mathematical Society 17 Chaos, Solitons and Fractals 16 Nonlinear Analysis. Real World Applications 15 Journal of Dynamics and Differential Equations 14 Applied Mathematics Letters 12 Nonlinear Dynamics 12 Abstract and Applied Analysis 11 Discrete and Continuous Dynamical Systems. Series B 11 Advances in Difference Equations 10 Discrete and Continuous Dynamical Systems 9 Computers & Mathematics with Applications 9 Physica D 9 Acta Mathematica Sinica. English Series 8 Journal of Computational and Applied Mathematics 8 Communications in Nonlinear Science and Numerical Simulation 8 Nonlinear Analysis. Theory, Methods & Applications 7 Rocky Mountain Journal of Mathematics 7 Differential Equations 7 Dynamical Systems 6 Transactions of the American Mathematical Society 5 Journal of Algebra 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Symbolic Computation 5 Mathematical and Computer Modelling 5 Journal of Applied Analysis and Computation 4 Topology and its Applications 4 Ergodic Theory and Dynamical Systems 4 Discrete Dynamics in Nature and Society 4 Journal of Dynamical and Control Systems 4 Journal of Nonlinear Mathematical Physics 4 Advanced Nonlinear Studies 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Science China. Mathematics 3 Israel Journal of Mathematics 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Advances in Mathematics 3 Journal of Pure and Applied Algebra 3 Mathematics and Computers in Simulation 3 Results in Mathematics 3 Chinese Annals of Mathematics. Series B 3 Acta Applicandae Mathematicae 3 Indagationes Mathematicae. New Series 3 Electronic Journal of Differential Equations (EJDE) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Inequalities and Applications 3 Communications on Pure and Applied Analysis 3 Journal of Biological Dynamics 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Geometriae Dedicata 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 European Journal of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Journal of Nonlinear Science 2 Journal of Computer and Systems Sciences International 2 Mathematical Problems in Engineering 2 Mathematical Physics, Analysis and Geometry 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Advances in Mathematical Physics 2 Journal of Siberian Federal University. Mathematics & Physics 1 Applicable Analysis 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Anais da Academia Brasileira de Ciências 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Numerical Functional Analysis and Optimization 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II ...and 66 more Serials
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#### Cited in 46 Fields

 753 Ordinary differential equations (34-XX) 333 Dynamical systems and ergodic theory (37-XX) 58 Difference and functional equations (39-XX) 54 Biology and other natural sciences (92-XX) 42 Partial differential equations (35-XX) 39 Algebraic geometry (14-XX) 21 Mechanics of particles and systems (70-XX) 15 Commutative algebra (13-XX) 15 Real functions (26-XX) 14 Numerical analysis (65-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Functions of a complex variable (30-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Computer science (68-XX) 10 Systems theory; control (93-XX) 9 Operator theory (47-XX) 9 Fluid mechanics (76-XX) 8 Special functions (33-XX) 7 Integral equations (45-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 5 Manifolds and cell complexes (57-XX) 4 General topology (54-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Geometry (51-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)