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Author ID: gasull.armengol Recent zbMATH articles by "Gasull, Armengol"
Published as: Gasull, Armengol; Gasull, A.; Gasull i Embid, Armengol; Armengol, Gasull
Homepage: http://www.gsd.uab.cat/index.php?option=com_jresearch&view=member&task=show&form...
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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

Publications by Year

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 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
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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. Series A: Theory and Methods
35 Journal of Difference Equations and Applications
25 Applied Mathematics and Computation
24 Bulletin des Sciences Mathématiques
24 Nonlinear Analysis. Real World Applications
23 Chaos, Solitons and Fractals
21 Proceedings of the American Mathematical Society
20 Journal of Dynamics and Differential Equations
20 Discrete and Continuous Dynamical Systems. Series B
16 Nonlinear Dynamics
15 Communications in Nonlinear Science and Numerical Simulation
14 Applied Mathematics Letters
13 Advances in Difference Equations
12 Physica D
12 Discrete and Continuous Dynamical Systems
12 Abstract and Applied Analysis
11 Acta Mathematica Sinica. English Series
11 Differential Equations
9 Computers & Mathematics with Applications
9 Dynamical Systems
9 Journal of Applied Analysis and Computation
8 Journal of Mathematical Physics
8 Rocky Mountain Journal of Mathematics
8 Journal of Computational and Applied Mathematics
8 Communications on Pure and Applied Analysis
8 Nonlinear Analysis. Theory, Methods & Applications
6 Transactions of the American Mathematical Society
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Symbolic Computation
6 Discrete Dynamics in Nature and Society
6 Mediterranean Journal of Mathematics
5 Mathematical Methods in the Applied Sciences
5 Nonlinearity
5 Mathematical and Computer Modelling
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Nonlinear Science
5 Journal of Inequalities and Applications
5 Journal of Dynamical and Control Systems
5 Applied Mathematics E-Notes
5 Science China. Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Advances in Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Algebra
4 Mathematics and Computers in Simulation
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Results in Mathematics
4 Topology and its Applications
4 Ergodic Theory and Dynamical Systems
4 Acta Applicandae Mathematicae
4 Expositiones Mathematicae
4 Electronic Journal of Differential Equations (EJDE)
4 NoDEA. Nonlinear Differential Equations and Applications
4 Buletinul Academiei de Științe a Republicii Moldova. Matematica
4 Journal of Nonlinear Mathematical Physics
4 Advanced Nonlinear Studies
4 Bulletin of the Brazilian Mathematical Society. New Series
4 SIAM Journal on Applied Dynamical Systems
4 São Paulo Journal of Mathematical Sciences
3 Applicable Analysis
3 Israel Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal of Geometry and Physics
3 Journal of Pure and Applied Algebra
3 Chinese Annals of Mathematics. Series B
3 Russian Mathematics
3 Topological Methods in Nonlinear Analysis
3 Communications in Contemporary Mathematics
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Journal of Biological Dynamics
3 Journal of Computational Dynamics
3 Journal of Mathematics
2 Mathematical Biosciences
2 Bulletin of Mathematical Biology
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Rendiconti del Circolo Matemàtico di Palermo. 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
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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)

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