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Fields of Interest
Qualitative study of differential equations. Period function and isochronicity. Global asymptotic stability and Jacobian Conjecture. Discrete dynamics in low dimension. Difference equations.Preprints
Publications
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]
M. Grau, F. Mañosas, J. Villadelprat
A Chebyshev criterion for Abelian integrals.
Preprint. 2008. To appear in Trans. Amer. Math. Soc.
[Abstract] [Full PDF]
F. Mañosas, J. Villadelprat
Criteria to bound the number of critical periods.
J. Differential Equations, 246, 2415-2433, 2009.
[Abstract]
F. Mañosas, P. Torres
Two Inverse problems for analytic potential systems.
J. Differential Equations, 245, 3664-3673, 2008.
[Abstract]
F. Mañosas, J. Villadelprat
The bifurcation set of the period function of the dehomogenized Loud's centers is bounded.
Proc. Amer. Math. Soc., 136(5). 1631-1642, 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, F. Mañosas
Periodic orbits in complex Abel equations.
J. Differential Equations, 232, 314-328, 2007.
[Abstract]
F. Mañosas, D. Peralta-Salas
Note on the Markus-Yamabe Conjecture for gradient dynamical systems.
J. Math. Anal. Appl., 322(2). 580-586, 2006.
[Abstract]
Ll. Alsedà, F. Gautero, J. Guaschi, J. Los, F. Mañosas, P. Mumbrú
Patterns and minimal dynamics for graph maps.
Proc. London Math. Soc. (3), 91(2). 414-442, 2005.
[Abstract]
F. Mañosas, P. Torres
Isochronicity of a class of piecewise continuous oscillators.
Proc. Amer. Math. Soc., 133, 3027-3035, 2005.
[Abstract]
F. Mañosas, J. Villadelprat
A note on the critical periods of potential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16(3). 765-774, 2005.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
On periodic rational difference equations of order .
J. Difference Equ. Appl., 10(6). 549-559, 2004.
[Abstract]
Ll. Alsedà, F. Gautero, J. Guaschi, J. Los, F. Mañosas, P. Mumbrú
Types d'orbites et dynamique minimale pour les applications continues de graphes.
C. R. Math. Acad. Sci. Paris, 334(6). 479-482, 2002.
[Abstract]
Ll. Alsedà, F. Mañosas, M. Chas
Rotation sets for orbits of degree one circle maps.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12(2). 429-437, 2002.
[Abstract]
A. Gasull, V. Mañosa, F. Mañosas
Monodromy and stability of a class of degenerate planar critical points.
J. Differential Equations, 182(1). 169-190, 2002.
[Abstract]
A. Gasull, V. Mañosa, F. Mañosas
Stability of certain planar unbounded polycycles.
J. Math. Anal. Appl., 269(1). 332-351, 2002.
[Abstract]
F. Mañosas, J. Villadelprat
Area-preserving normalizations for centers of planar Hamiltonian systems.
J. Differential Equations, 179(2). 625-646, 2002.
[Abstract]
A. Cima, A. Gasull, F. Mañosas
A note on LaSalle's problems.
Ann. Polon. Math., 76(01/02/09). 33-46, 2001.
[Abstract]
Ll. Alsedà, F. Mañosas, P. Mumbrú
Minimizing topological entropy for continuous maps on graphs.
Ergodic Theory Dynam. Systems, 20(6). 1559-1576, 2000.
[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. Gasull, J. Llibre, V. Mañosa, F. Mañosas
The focus-centre problem for a type of degenerate system.
Nonlinearity, 13(3). 699-729, 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, 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, F. Mañosas, J. Villadelprat
A Poincaré-Hopf theorem for noncompact manifolds.
Topology, 37(2). 261-277, 1998.
[Abstract]
Ll. Alsedà, J. Guaschi, J. Los, F. Mañosas, P. Mumbrú
Canonical representatives for patterns of tree maps.
Topology, 36(5). 1123-1153, 1997.
[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. Gasull, A. Guillamon, V. Mañosa, F. Mañosas
The period function for Hamiltonian systems with homogeneous nonlinearities.
J. Differential Equations, 139(2). 237-260, 1997.
[Abstract]
Ll. Alsedà, F. Mañosas
Kneading theory for a family of circle maps with one discontinuity.
Acta Math. Univ. Comenian. (N.S.), 65(1). 11-22, 1996.
[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]
Ll. Alsedà, J. Guaschi, J. Los, F. Mañosas, P. Mumbrú
"Connect-the-dots" tree maps.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 165-169. World Sci. Publishing, River Edge NJ, 1995.
Ll. Alsedà, J. Guaschi, J. Los, F. Mañosas, P. Mumbrú
"Connect-the-dots" tree maps.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5(5). 1427-1431, 1995.
[Abstract]
Ll. Alsedà, J. Guaschi, J. Los, F. Mañosas, P. Mumbrú
Patterns of tree maps.
In 2nd Catalan Days on Applied Mathematics (Odeillo, 1995), 1-11. Presses Univ. Perpignan, Perpignan, 1995.
[Abstract]
Ll. Alsedà, F. Mañosas, P. Mumbrú
Continuity of entropy for bimodal maps.
J. London Math. Soc. (2), 52(3). 547-567, 1995.
[Abstract]
Ll. Alsedà, F. Mañosas, P. Mumbrú
Minimizing topological entropy for continuous maps on trees.
In Ergodic theory and dynamical systems (Warsaw, 1995), 1-2. Warsaw, 1995.
[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]
Ll. Alsedà, F. Mañosas, W. Szlenk
A characterization of the uniquely ergodic endomorphisms of the circle.
Proc. Amer. Math. Soc., 117(3). 711-714, 1993.
[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]
Ll. Alsedà, F. Mañosas
The monotonicity of the entropy for a family of degree one circle maps.
Trans. Amer. Math. Soc., 334(2). 651-684, 1992.
[Abstract]
Ll. Alsedà, F. Mañosas
Monotonicity of the entropy for a family of circle maps.
In European Conference on Iteration Theory (Batschuns, 1989), 1-5. World Sci. Publishing, River Edge NJ, 1991.
[Abstract]
Ll. Alsedà, F. Mañosas
Kneading theory and rotation intervals for a class of circle maps of degree one.
Nonlinearity, 3(2). 413-452, 1990.
[Abstract]
F. Mañosas
Symbolic dynamics for degree one circle maps.
PhD thesis, Universitat Autònoma de Barcelona, 1990.
[Abstract]
Ll. Alsedà, J. Llibre, F. Mañosas, M. Misiurewicz
Topological entropy for circle maps of degree one.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 382-391. World Sci. Publishing, Teaneck NJ, 1989.
[Abstract]
Ll. Alsedà, F. Mañosas
Kneading theory for a class of circle maps.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 392-398. World Sci. Publishing, Teaneck NJ, 1989.
[Abstract]
Ll. Alsedà, J. Llibre, F. Mañosas, M. Misiurewicz
Lower bounds of the topological entropy for continuous maps of the circle of degree one.
Nonlinearity, 1(3). 463-479, 1988.
[Abstract]
