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1

On Poncelet’s maps

Anna Cima, Armengol Gasull, Víctor Mañosa

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 376 KB

english, 2010

2

A New Criterion for Controlling the Number of Limit Cycles of Some Generalized Liénard Equations

Armengol Gasull, Hector Giacomini

Journal:

Journal of Differential Equations

Year:

2002

Language:

english

File:

PDF, 180 KB

english, 2002

3

Injectivity of polynomial local homeomorphisms of Rn

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1996

Language:

english

File:

PDF, 577 KB

english, 1996

4

Studying discrete dynamical systems through differential equations

Anna Cima, Armengol Gasull, Víctor Mañosa

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 240 KB

english, 2008

5

The period function for second-order quadratic ODEs is monotone

Armengol Gasull, Antoni Guillamon, Jordi Villadelprat

Journal:

Qualitative Theory of Dynamical Systems

Year:

2004

Language:

english

File:

PDF, 231 KB

english, 2004

6

One-dimensional quaternion homogeneous polynomial differential equations

Gasull, Armengol, Llibre, Jaume, Zhang, Xiang

Journal:

Journal of Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 496 KB

english, 2009

7

On 2- and 3-periodic Lyness difference equations

Cima, Anna, Gasull, Armengol, Mañosa, Víctor

Journal:

Journal of Difference Equations and Applications

Year:

2012

Language:

english

File:

PDF, 211 KB

english, 2012

8

Dynamics of the third order Lyness' difference equation

Cima, Anna, Gasull, Armengol, Mañosa, Víctor

Journal:

Journal of Difference Equations and Applications

Year:

2007

Language:

english

File:

PDF, 393 KB

english, 2007

9

Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations

Gasull, Armengol, Giacomini, Hector, Torregrosa, Joan

Journal:

Discrete and Continuous Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 449 KB

english, 2013

10

Center-Focus Problem for Discontinuous Planar Differential Equations

Gasull, Armengol, Torregrosa, Joan

Journal:

International Journal of Bifurcation and Chaos

Year:

2003

Language:

english

File:

PDF, 211 KB

english, 2003

11

Stability of singular limit cycles for Abel equations

Bravo, José Luis, Fernández, Manuel, Gasull, Armengol

Journal:

Discrete and Continuous Dynamical Systems

Year:

2014

Language:

english

File:

PDF, 465 KB

english, 2014

12

Some Applications of the Euler-Jacobi Formula to Differential Equations

Anna Cima, Armengol Gasull and Francesc Manosas

Journal:

Proceedings of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 338 KB

english, 1993

13

Some applications of the Euler-Jacobi formula to differential equations

Cima, Anna, Gasull, Armengol, Ma{ñosas, Francesc

Journal:

Proceedings of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 1.12 MB

english, 1993

14

Periodic solutions of linear, Riccati, and Abel dynamic equations

Bohner, Martin, Gasull, Armengol, Valls, Claudia

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 368 KB

english, 2018

15

A Polynomial Counterexample to the Markus–Yamabe Conjecture

Anna Cima, Arno van den Essen, Armengol Gasull, Engelbert Hubbers, Francesc Mañosas

Journal:

Advances in Mathematics

Year:

1997

Language:

english

File:

PDF, 256 KB

english, 1997

16

Small-Amplitude Limit Cycles in Liénard Systems via Multiplicity

Armengol Gasull, Joan Torregrosa

Journal:

Journal of Differential Equations

Year:

1999

Language:

english

File:

PDF, 233 KB

english, 1999

17

Period Function for a Class of Hamiltonian Systems

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 184 KB

english, 2000

18

An Explicit Expression of the First Liapunov and Period Constants with Applications

Armengol Gasull, Antoni Guillamon, Vı́ctor Mañosa

Journal:

Journal of Mathematical Analysis and Applications

Year:

1997

Language:

english

File:

PDF, 291 KB

english, 1997

19

Center Problem for Several Differential Equations via Cherkas' Method

Armengol Gasull, Joan Torregrosa

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 145 KB

english, 1998

20

On the number of critical periods for planar polynomial systems

Anna Cima, Armengol Gasull, Paulo R. da Silva

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2008

Language:

english

File:

PDF, 312 KB

english, 2008

21

Limit cycles and Lie symmetries

Emilio Freire, Armengol Gasull, Antoni Guillamon

Journal:

Bulletin des Sciences Mathématiques

Year:

2007

Language:

english

File:

PDF, 189 KB

english, 2007

22

On persistent centers

Anna Cima, Armengol Gasull, João C. Medrado

Journal:

Bulletin des Sciences Mathématiques

Year:

2009

Language:

english

File:

PDF, 160 KB

english, 2009

23

First derivative of the period function with applications

Emilio Freire, Armengol Gasull, Antoni Guillamon

Journal:

Journal of Differential Equations

Year:

2004

Language:

english

File:

PDF, 340 KB

english, 2004

24

On the period of the limit cycles appearing in one-parameter bifurcations

Armengol Gasull, Víctor Mañosa, Jordi Villadelprat

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 399 KB

english, 2005

25

On the period function for a family of complex differential equations

Antonio Garijo, Armengol Gasull, Xavier Jarque

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 238 KB

english, 2006

26

Periodic orbits in complex Abel equations

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 165 KB

english, 2007

27

Multiplicity of limit cycles and analytic m-solutions for planar differential systems

Armengol Gasull, Jaume Giné, Maite Grau

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 236 KB

english, 2007

28

On the critical periods of perturbed isochronous centers

Armengol Gasull, Jiang Yu

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 272 KB

english, 2008

29

On the number of critical periods for planar polynomial systems of arbitrary degree

Armengol Gasull, Changjian Liu, Jiazhong Yang

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 160 KB

english, 2010

30

Simultaneous bifurcation of limit cycles from two nests of periodic orbits

Antonio Garijo, Armengol Gasull, Xavier Jarque

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 173 KB

english, 2008

31

New periodic recurrences with applications

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 167 KB

english, 2011

32

A new algorithm for the computation of the Lyapunov constants for some degenerated critical points

Armengol Gasull, Joan Torregrosa

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2001

File:

PDF, 732 KB

2001

33

The discrete Markus–Yamabe problem

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1999

Language:

english

File:

PDF, 102 KB

english, 1999

34

Phase portrait of Hamiltonian systems with homogeneous nonlinearities

Armengol Gasull, Antoni Guillamon, Victor Mañosa

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2000

Language:

english

File:

PDF, 412 KB

english, 2000

35

Period function for perturbed isochronous centres

Emilio Freire, Armengol Gasull, Antoni Guillamon

Journal:

Qualitative Theory of Dynamical Systems

Year:

2002

Language:

english

File:

PDF, 154 KB

english, 2002

36

Cyclicity versus Center Problem

Armengol Gasull, Jaume Giné

Journal:

Qualitative Theory of Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 190 KB

english, 2010

37

Chini Equations and Isochronous Centers in Three-Dimensional Differential Systems

Marc Chamberland, Armengol Gasull

Journal:

Qualitative Theory of Dynamical Systems

Year:

2010

Language:

english

File:

PDF, 156 KB

english, 2010

38

Global asymptotic stability of differential equations in the plane

Armengol Gasull, Jaume Llibre, Jorge Sotomayor

Journal:

Journal of Differential Equations

Year:

1991

Language:

english

File:

PDF, 423 KB

english, 1991

39

On the number of limit cycles bifurcating from a non-global degenerated center

Armengol Gasull, Chengzhi Li, Changjian Liu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 172 KB

english, 2007

40

The third order Melnikov function of a quadratic center under quadratic perturbations

Adriana Buica, Armengol Gasull, Jiazhong Yang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 147 KB

english, 2007

41

Stability of certain planar unbounded polycycles

Armengol Gasull, Vı́ctor Mañosa, Francesc Mañosas

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 162 KB

english, 2002

42

Preface

Armengol Gasull, Julia Hartmann, Jaume Llibre, Sebastian Walcher

Journal:

Qualitative Theory of Dynamical Systems

Year:

2012

Language:

english

File:

PDF, 92 KB

english, 2012

43

Centers for Trigonometric Abel Equations

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Qualitative Theory of Dynamical Systems

Year:

2012

Language:

english

File:

PDF, 290 KB

english, 2012

44

A new Chebyshev family with applications to Abel equations

Armengol Gasull, Chengzhi Li, Joan Torregrosa

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 140 KB

english, 2012

45

On the Chebyshev property for a new family of functions

Armengol Gasull, J. Tomás Lázaro, Joan Torregrosa

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 230 KB

english, 2012

46

Limit cycles appearing from the perturbation of a system with a multiple line of critical points

Armengol Gasull, Chengzhi Li, Joan Torregrosa

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 225 KB

english, 2012

47

Simple examples of planar involutions with non-global Montgomery–Bochner linearizations

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Applied Mathematics Letters

Year:

2012

Language:

english

File:

PDF, 191 KB

english, 2012

48

Upper bounds for the number of zeroes for some Abelian integrals

Armengol Gasull, J. Tomás Lázaro, Joan Torregrosa

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

49

A theoretical basis for the Harmonic Balance Method

Johanna D. García-Saldaña, Armengol Gasull

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 199 KB

english, 2013

50

A simple solution of some composition conjectures for Abel equations

Anna Cima, Armengol Gasull, Francesc Mañosas

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 245 KB

english, 2013

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