Resultados globales: 118 registros encontrados en 0.02 segundos.
Artículos, Encontrados 117 registros
Documentos de investigación, Encontrados 1 registros
Artículos Encontrados 117 registros  1 - 10siguientefinal  ir al registro:
1.
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  
2.
9 p, 545.5 KB Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We study the periodic dynamics of the Hénon-Heiles Hamiltonian system with the additional singular gravitational term 1/(x2+y2). The Hénon-Heiles modelizes how stars move around a galactic center. [...]
2021 - 10.1209/0295-5075/134/60005
Europhysics Letters (EPL), Vol. 134, Issue 6 (June 2021) , art. 60005  
3.
20 p, 337.0 KB First-order perturbation for multi-parameter center families / Itikawa, Jackson (Universidade Federal de Rondônia. Departament of Mathematics) ; Oliveira, Regilene (Universidade de São Paulo. Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the weak 16th Hilbert problem, the Poincaré-Pontryagin-Melnikov function, M(h), is used for obtaining isolated periodic orbits bifurcating from centers up to a first-order analysis. This problem becomes more difficult when a family of centers is considered. [...]
2022 - 10.1016/j.jde.2021.11.035
Journal of differential equations, Vol. 309 (February 2022) , p. 291-310  
4.
8 p, 600.2 KB Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system / Kassa, Sara (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Amar (University of Annaba. Department of Mathematics (Algeria))
A zero-Hopf equilibrium of a differential system in R3 is an equilibrium point whose linear part has eigenvalues 0 and ±ωi with ω>0. We provide necessary and sufficient conditions for the existence of two or one limit cycles bifurcating from a zero-Hopf equilibrium of the following 3-dimensional Lypschizian differential systems x˙= y, y˙= z, z˙= −a y + 3y2 − xz −b, when a=b=0. [...]
2021 - 10.1007/s40863-021-00212-9
São Paulo Journal of Mathematical Sciences, Vol. 15 (February 2021) , p. 419-426  
5.
7 p, 273.8 KB Zero-Hopf periodic orbits for a Rössler differential system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
We study the zero-Hopf bifurcation of the Rössler differential system x· = x − xy − z, y· = x − ay, z· = b(cx − z), where the dot denotes the derivative with respect to the independent variable t and a, b, c are real parameters.
2020 - 10.1142/S0218127420501709
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 12 (September 2020) , art. 2050170  
6.
7 p, 594.5 KB Periodic orbits bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree / Djedid, Djamila (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Amar (University of Annaba. Department of Mathematics (Algeria))
A Hopf equilibrium of a differential system in R2 is an equilibrium point whose linear part has eigenvalues ±ωi with ω ≠ 0. We provide necessary and sufficient conditions for the existence of a limit cycle bifurcating from a Hopf equilibrium of 2-dimensional polynomial Kolmogorov systems of arbitrary degree. [...]
2021 - 10.1016/j.chaos.2020.110489
Chaos, solitons and fractals, Vol. 142 (January 2021) , art. 110489  
7.
9 p, 305.0 KB Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno Domiciano (Universidade Federal do ABC. Centro de Matemática, Computação e Cognição (Brazil)) ; De Moraes, Jaime Rezende (Universidade Estadual de Mato Grosso do Sul. (Brazil))
We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. [...]
2020 - 10.1142/S0218127420501588
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050158  
8.
12 p, 751.4 KB Periodic solutions and their stability for some perturbed Hamiltonian systems / Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vera, Juan A. (Universidad Politécnica de Cartagena. Centro Universitario de la Defensa. Academia General Del Aire) ; Wade, Bruce A. (University of Louisiana at Lafayette. Mathematics Department (USA))
We deal with non-autonomous Hamiltonian systems of one degree of freedom. For such differential systems, we compute analytically some of their periodic solutions, together with their type of stability. [...]
2021 - 10.1142/S0219887821500134
International Journal of Geometric Methods in Modern Physics, Vol. 18, Issue 1 (January 2021) , art. 2150013  
9.
8 p, 295.0 KB 4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory / Feddaoui, Amina (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.
2020 - 10.1504/IJDSDE.2020.109106
International Journal of Dynamical Systems and Differential Equations, Vol. 10, Issue 4 (2020) , p. 321-328  
10.
8 p, 690.4 KB N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order / Kassa, Sara (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝn. We prove that there are at least 3n-2 limit cycles bifurcating from such zero-Hopf equilibrium points. [...]
2020 - 10.1007/s10883-020-09501-6
Journal of Dynamical and Control Systems, vol. 27 (June 2020) p. 283-291  

Artículos : Encontrados 117 registros   1 - 10siguientefinal  ir al registro:
Documentos de investigación Encontrados 1 registros  
1.
32 p, 619.7 KB Periodic orbits and nonintegrability of the Henon-Heiles Hamiltonian systems / Lembarki, Fatima Ezzahra ; Llibre, Jaume, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Dans la nature et dans la vie des hommes, de nombreux processus, sont en constante évolution. Nous parlons donc de systèmes dynamiques. Généralement ces changements incessants sont souvent difficiles à prédire et modéliser car ils surviennent de manière non linéaire et n'obéissent pas pleinement aux simples lois du hasard.
2011  

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