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Resultados globales: 7 registros encontrados en 0.03 segundos.
Artículos, Encontrados 7 registros
Artículos Encontrados 7 registros  
1.
7 p, 977.8 KB Rational first integrals of the Liénard equations : The solution to the Poincaré problem for the Liénard equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universidade Estadual Paulista. Departamento de Matemática) ; Ribeiro, Jarne D. (Instituto Federal de Educação, Ciência e Tecnologia do Sul de Minas Gerais)
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class of Liénard differential equations ẍ + f (x)ẋ + x = 0, being f (x) a polynomial of arbitrary degree. [...]
2021 - 10.1590/0001-3765202120191139
Anais da Academia Brasileira de Ciencias, Vol. 93, Issue 4 (2021) , p. e20191139
2 documentos
Registro completo - Creative Commons
2.
20 p, 1.0 MB Phase portraits of Bernoulli quadratic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pereira, Weber F. (Universidade Estadual Paulista. Departamento de Matemática (Brasil)) ; Pessoa, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brasil))
In this paper we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincaré disk of Bernoulli quadratic polynomial differential systems in R2.
2020
Electronic journal of differential equations, Vol. 2020, Issue 48 (2020) , p. 1-19
2 documentos
Registro completo - Creative Commons
3.
23 p, 542.3 KB Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms / Gouveia, Márcio (IBILCE-UNESP(Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (IBILCE-UNESP(Brazil). Departamento de Matemática)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane \Sigma which admits an invariant hyperplane \Omega transversal to \Sigma containing a period annulus A fulfilled by crossing periodic solutions. [...]
2016 - 10.1016/j.jde.2015.12.034
Journal of differential equations, Vol. 260 (2016) , p. 6108-6129  
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4.
18 p, 411.1 KB Piecewise linear perturbations of a linear center / Buzzi, Claudio (Universidade Estadual Paulista(Brazil). Departamento de Matemática) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universidade Estadual Paulista(Brazil). Departamento de Matemática)
This paper is mainly devoted to study the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight line Σ and the singular point of the unperturbed system is in Σ. [...]
2013 - 10.3934/dcds.2013.33.3915
Discrete and continuous dynamical systems. Series A, Vol. 33 Núm. 9 (2013) , p. 3915-3936  
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5.
4 p, 255.2 KB Centers on center manifolds in the Lu system / Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department) ; Pessoa, Claudio (Universidade Estadual Paulista(Brazil)) ; Shafer, Douglas S. (AGH University of Science and Technology(Poland). Faculty of Applied Mathematics)
We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. [...]
2011 - 10.1016/j.physleta.2011.08.022
Physics Letters. A, Vol. 375 (2011) , p. 3509-3511  
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6.
12 p, 312.6 KB The Hopf bifurcation in the Shimizu-Morioka system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universidade Estadual Paulista. Departamento de Matemática)
We study the local Hopf bifurcations of codimension one and two which occur in the Shimizu-Morioka system. This system is a simplified model proposed for studying the dynamics of the well known Lorenz system for large Rayleigh numbers. [...]
2015 - 10.1007/s11071-014-1805-3
Nonlinear Dynamics, Vol. 79 (2015) , p. 2197-2205  
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7.
24 p, 265.5 KB Homogeneous polynomial vector fields of degree 2 on the 2-dimensional sphere / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Let X be a homogeneous polynomial vector field of degree 2 on S2 having finitely many invariant circles. Then, we prove that each invariant circle is a great circle of S2, and at most there are two invariant circles. [...]
2006
Extracta mathematicae, Vol. 21, Núm. 2 (2006) , p. 167-190  
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