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Depósito Digital de Documentos de la UAB Encontrados 14 registros  1 - 10siguiente  ir al registro: La búsqueda tardó 0.02 segundos. 
1.
Polynomial differential systems with hyperbolic limit cycles / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
One of the main problems of the qualitative theory of the planar differential equations is the study their limit cycles. In this paper given an algebraic curve of degree n we characterize the planar polynomial differential systems of degree greater or equal than n which admit the ovals of the algebraic curve as hyperbolic limit cycles.
2023 - 10.1016/j.geomphys.2023.104983
Journal of geometry and physics, Vol. 194 (December 2023) , art. 104983  
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2.
A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator / Ginoux, Jean-Marc (Centre National de la Recherche Scientifique. Université de Toulon) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom.
2023 - 10.1016/j.geomphys.2022.104705
Journal of geometry and physics, Vol. 183 (January 2023) , art. 104705  
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3.
13 p, 650.6 KB Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Saeed, Tareq (King Abdulaziz University. Department of Mathematics (Saudi Arabia)) ; Zotos, Euaggelos E. (Aristotle University of Thessaloniki. Department of Physics)
In this paper we study analytically the existence of two families of periodic orbits using the averaging theory of second order, and the finite and infinite equilibria of a generalized Hénon-Heiles Hamiltonian system which includes the classical Hénon-Heiles Hamiltonian. [...]
2021 - 10.1016/j.geomphys.2021.104290
Journal of geometry and physics, Vol. 167 (September 2021) , art. 104290  
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4.
33 p, 842.3 KB Complete integrability of vector fields in RN / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ramírez, Rafael Orlando (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Ramírez, Valentín (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We give necessary and sufficient conditions for the complete integrability of first order N-dimensional differential systems. We propose a new method to determine in the Jacobi Theorem the last N−1 first integral for the complete integrability of an N-dimensional differential system with N−2 independent first integrals and with a Jacobi multiplier. [...]
2021 - 10.1016/j.geomphys.2021.104308
Journal of geometry and physics, Vol. 168 (October 2021) , art. 104308  
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5.
13 p, 678.3 KB On the Darboux integrability of the logarithmic galactic potentials / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We study the logarithmic Hamiltonians H=(p +p )∕2+log(1+x+y∕q), which appear in the study of the galactic dynamics. We characterize all the invariant algebraic hypersurfaces and all exponential factors of the Hamiltonian system with Hamiltonian H. [...]
2017 - 10.1016/j.geomphys.2017.07.019
Journal of geometry and physics, Vol. 121 (November 2017) , p. 279-287  
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6.
11 p, 310.2 KB Periodic motion in non-axially symmetric galaxies / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática)
We apply the averaging theory for proving the existence of twelve families of periodic orbits in a three-dimensional galactic Hamiltonian system.
2019 - 10.1016/j.geomphys.2018.09.023
Journal of geometry and physics, Vol. 140 (June 2019) , p. 1-9  
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7.
12 p, 336.3 KB New central configurations of the (n+1)-body problem / Fernandes, Antonio Carlos (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Garcia, Braulio Augusto (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá (Brasil). Instituto de Matemática e Computação)
In this article we study central configurations of the (n+1)-body problem. For the planar (n+1)-body problem we study central configurations performed by ≥2 bodies with equal masses at the vertices of a regular n--gon and one body with null mass. [...]
2018 - 10.1016/j.geomphys.2017.11.003
Journal of geometry and physics, Vol. 124 (Jan. 2018) , p. 199-207  
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8.
8 p, 681.1 KB No periodic orbits in the Bianchi models B / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Yu, Jiang (Shanghai Jiao Tong University. Department of Mathematics)
In this paper we prove that the Bianchi models B have no periodic solutions.
2018 - 10.1016/j.geomphys.2018.01.026
Journal of geometry and physics, Vol. 128 (June 2018) , p. 32-37  
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9.
23 p, 755.7 KB Integrability in nonlinear biomathematical models / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided in six families of differential systems. [...]
2013 - 10.1016/j.geomphys.2013.01.001
Journal of geometry and physics, Vol. 66 (2013) , p. 50-70  
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10.
17 p, 371.0 KB Darboux integrability of the Lü system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We characterize all the values of the parameters of the Lü system, for which it admits a Darboux first integral.
2013 - 10.1016/j.geomphys.2012.10.003
Journal of geometry and physics, Vol. 63 (2013) , p. 118-128  
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