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Fields of Interest
Qualitative study of ordinary differential equations. Planar differential systems. Period function and isochronicity. Global asymptotic stability and Jacobian Conjecture. Difference equations.Preprints
Publications
A. Cima, A. Gasull, V. Mañosa NEW 10/01/07
On two and three periodic Lyness difference equations.
Preprint. 2010.
[Abstract] [Full PDF]
A. Cima, A. Gasull, F. Mañosas
Global linearization of periodic difference equations.
Preprint. 2009.
[Abstract] [Full PDF]
A. Cima, F. Mañosas
Real Dynamics of Integrable Birational Maps.
Preprint. 2009.
[Abstract] [Full PDF]
A. Cima, A. Gasull, V. Mañosa
On Poncelet's Maps.
Preprint. 2008.
[Abstract] [Full PDF]
A. Cima, J. Llibre, L. Peng
Perturbation Techniques for studying the periodic orbits and the limit cycles of 3-dimensional systems.
Preprint. 2007.
[Abstract]
A. Cima, J. Llibre, J. Medrado
New families of centers for polynomial vector fields of arbitrary degree.
Preprint. 2005. To appear in Comm. on Applied Nonlinear Analysis
[Abstract] [Full PDF]
A. Cima, A. Gasull, J. Medrado
On persistent centers.
Bull. Sci. Math., 133(6). 644–657, 2009.
[Abstract]
A. Cima, A. Gasull, V. Mañosa
Some properties of the -dimensional Lyness' map.
J. Phys. A, 41, 1-18, 2008.
[Abstract]
A. Cima, A. Gasull, V. Mañosa
Studying discrete dynamical systems through differential equations.
J. Differential Equations, 244, 630-648, 2008.
[Abstract]
A. Cima, A. Gasull, P. Silva
On the number of critical periods for planar polynomial systems.
Nonlinear Anal., Ser. A: Theory Methods, 69, 1889-1903, 2008.
[Abstract]
A. Cima, J. Llibre, M. Teixeira
Hopf bifurcation in presence of 1:3 resonance.
Adv. Nonlinear Stud., 8(3). 619-632, 2008.
[Abstract]
A. Cima, J. Llibre, M. Teixeira
Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory.
Appl. Anal., 87(2). 149-164, 2008.
[Abstract]
M. Chamberland, A. Cima, A. Gasull, F. Mañosas
Characterizing Asymptotic Stability with Dulac Functions.
Discrete Contin. Dynam. Systems, 17(1). 59-76, 2007.
[Abstract]
A. Cima, A. Gasull, V. Mañosa
Dynamics of the third order Lyness' difference equation.
J. Difference Equ. Appl., 13(10). 855-884, 2007.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Periodic orbits in complex Abel equations.
J. Differential Equations, 232, 314-328, 2007.
[Abstract]
A. Cima, A. Gasull, V. Mañosa
Dynamics of some rational discrete dynamical systems via invariants.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16(3). 631-645, 2006.
[Abstract]
A. Cima, A. Gasull, V. Mañosa
Global Periodicity and Complete Integrability of Discrete Dynamical Systems.
J. Difference Equ. Appl., 12, 697-716, 2006.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
On periodic rational difference equations of order .
J. Difference Equ. Appl., 10(6). 549-559, 2004.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
A note on LaSalle's problems.
Ann. Polon. Math., 76(01/02/09). 33-46, 2001.
[Abstract]
A. Cima, J. Li, J. Llibre
Periodic solutions of delay differential equations with two delay via bi-Hamiltonian systems.
Ann. Differential Equations, 17(3). 205-214, 2001.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Period function for a class of Hamiltonian systems.
J. Differential Equations, 168(1). 180-199, 2000.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
The discrete Markus-Yamabe problem.
Nonlinear Anal., Ser. A: Theory Methods, 35(3). 343-354, 1999.
[Abstract]
A. Cima, J. Li, J. Llibre
Area preserving flows on compact connected surfaces.
In Dynamical systems, plasmas and gravitation (Orléans la Source, 1997), 313-319. Springer, Berlin, 1999.
[Abstract]
A. Cima, F. Mañosas, J. Villadelprat
Isochronicity for several classes of Hamiltonian systems.
J. Differential Equations, 157(2). 373-413, 1999.
[Abstract]
A. Cima, F. Mañosas, J. Villadelprat
On bounded vector fields.
Rocky Mountain J. Math., 29(2). 473-489, 1999.
[Abstract]
A. Cima, A. Gasull, J. Torregrosa
On the relation between index and multiplicity.
J. London Math. Soc. (2), 57(3). 757-768, 1998.
[Abstract]
A. Cima, F. Mañosas, J. Villadelprat
A Poincaré-Hopf theorem for noncompact manifolds.
Topology, 37(2). 261-277, 1998.
[Abstract]
A. Cima, A. Gasull, V. Mañosa, F. Mañosas
Algebraic properties of the Liapunov and period constants.
Rocky Mountain J. Math., 27(2). 471-501, 1997.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
A polynomial class of Markus-Yamabe counterexamples.
Publ. Mat., 41(1). 85-100, 1997.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Limit cycles for vector fields with homogeneous components.
Appl. Math., 24(3). 281-287, 1997.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Some remarks on continuous and discrete Markus-Yamabe Problems.
In A conference on Polynomial Maps and the Jacobian Conjecture, 1997.
[Abstract]
A. Cima, A. Essen, A. Gasull, E. Hubbers, F. Mañosas
A polynomial counterexample to the Markus-Yamabe conjecture.
Adv. Math., 131(2). 453-457, 1997.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Injectivity of polynomial local homeomorphisms of .
Nonlinear Anal., Ser. A: Theory Methods, 26(4). 877-885, 1996.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
The genesis of Markus-Yamabe counterexamples.
In 3rd Catalan Days on Applied Mathematics (Lleida, 1996), 49-55. Univ. Lleida, Lleida, 1996.
[Abstract]
A. Cima, A. Gasull, J. Llibre, F. Mañosas
Global injectivity of polynomial maps via vector fields.
In Automorphisms of affine spaces (Curaçao, 1994), 105-123. Kluwer Acad. Publ., Dordrecht, 1995.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Cyclicity of a family of vector fields.
J. Math. Anal. Appl., 196(3). 921-937, 1995.
[Abstract]
A. Cima, A. Gasull, J. Torregrosa
Index and multiplicity.
In XIV CEDYA/IV Congress of Applied Mathematics (Vic, 1995), 15 pp. Univ. Barcelona, Barcelona, 1995.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
On polynomial Hamiltonian planar vector fields.
J. Differential Equations, 106(2). 367-383, 1993.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
Some applications of the Euler-Jacobi formula to differential equations.
Proc. Amer. Math. Soc., 118(1). 151-163, 1993.
[Abstract]
A. Cima, J. Llibre
Algebraic and topological classification of the homogeneous cubic vector fields in the plane.
J. Math. Anal. Appl., 147(2). 420-448, 1990.
[Abstract]
A. Cima, J. Llibre
Bounded polynomial vector fields.
Trans. Amer. Math. Soc., 318(2). 557-579, 1990.
[Abstract]
A. Cima, J. Llibre
Configurations of fans and nests of limit cycles for polynomial vector fields in the plane.
J. Differential Equations, 82(1). 71-97, 1989.
[Abstract]
A. Cima, J. Llibre
On the configurations of limit cycles for polynomial vector fields in the plane.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 416-420. World Sci. Publishing, Teaneck NJ, 1989.
[Abstract]
A. Cima
Indices of polynomial vector fields with applications.
PhD thesis, Universitat Autònoma de Barcelona, 1987.
[Abstract]
A. Cima, J. Llibre
A Global theorem about the indices of the singularities of a polynomial field on the plane.
In IX CEDYA (Valladolid, 1986), 259-261. Univ. Valladolid, Valladolid, 1987.
[Abstract]
A. Cima, J. Llibre
Homogeneous cubic systems in the plane.
In VII CEDYA (Granada, 1984), 97-103. Univ. Granada, Granada, 1985.
[Abstract]
