Resultats globals: 9 registres trobats en 0.04 segons.
Articles, 9 registres trobats
Articles 9 registres trobats  
1.
16 p, 737.1 KB Birth of limit cycles for a classe of continuous and discontinuous differential systems in (d 2)-dimension / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática) ; Zeli, Iris O. (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)
The orbits of the reversible differential system ˙x = −y, ˙y = x, ˙z = 0, with x, y ∈ R and z ∈ R d, are periodic with the exception of the equilibrium points (0, 0, z1, . . . , zd). We compute the maximum number of limit cycles which bifurcate from the periodic orbits of the system ˙x = −y, ˙y = x, ˙z = 0, using the averaging theory of first order, when this system is perturbed, first inside the class of all polynomial differential systems of degree n, and second inside the class of all discontinuous piecewise polynomial differential systems of degree n with two pieces, one in y > 0 and the other in y < 0. [...]
2016 - 10.1080/14689367.2015.1102868
Dynamical Systems. An International Journal, Vol. 31 Núm. 3 (2016) , p. 237-250  
2.
20 p, 395.4 KB On nonsmooth perturbations of nondegenerate planar centers / Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide sufficient conditions for the existence of limit cycles of non–smooth perturbed planar centers, when the set of discontinuity is an algebraic variety. It is introduced a mechanism which allows us to deal with such system, even in higher dimension. [...]
2014 - 10.5565/287237
Publicacions Matematiques, Vol. Extra (2014) , p. 395-420  
3.
15 p, 433.8 KB On the birth of limit cycles for non-smooth dynamical systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brazil). Departamento de Matemática) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brazil). Departamento de Matemática)
The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. [...]
2015 - 10.1016/j.bulsci.2014.08.011
Bulletin des Sciences Mathematiques, Vol. 139 (2015) , p. 229-244  
4.
21 p, 834.8 KB Averaging theory for discontinuous piecewise differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mereu, Ana Cristina (Universidade Federal de Sao Carlos (Brazil). Departamento de Física, Química e Matematica) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brazil). Departamento de Matematica)
We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. [...]
2015 - 10.1016/j.jde.2015.01.022
Journal of Differential Equations, Vol. 258 (2015) , p. 4007-4032  
5.
9 p, 414.3 KB On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems / Gouveia, Marcio R. A. (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)
In this paper we consider the linear differential center (x',y')=(-y,x) class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y = 0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. [...]
2015 - 10.1016/j.amc.2015.09.022
Applied Mathematics and Computation, Vol. 271 (2015) , p. 365-374  
6.
15 p, 389.8 KB Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differential center with two zones / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brazil). Departamento de Matemática)
We study a class of discontinuous piecewise linear differential systems with two zones separated by the straight line x = 0. In x > 0 we have a linear saddle with its equilibrium point living in x > 0, and in x < 0 we have a linear differential center. [...]
2015 - 10.1142/S0218127415501448
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 25 Núm. 11 (2015) , p. 1550144 (11 pages)  
7.
10 p, 460.2 KB A simple solution to the Braga-Mello conjecture / Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ponce, Enrique (Escuela Técnica Superior de Ingeniería (Sevilla). Departamento de Matemática Aplicada II,)
Recently Braga and Mello conjectured that for a given n N there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper, we prove a result from which the conjecture is an immediate consequence. [...]
2015 - 10.1142/S0218127415500091
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 25 Núm. 1 (2015) , p. 1550009  
8.
26 p, 420.9 KB Maximum number of limit cycles for certain piecewise linear dynamical systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas. Departamento de Matemática)
This paper deals with the question of the determinacy of the maximum number of limit cycles of some classes of planar discontinuous piecewise linear differential systems defined in two half-planes separated by a straight line \Sigma. [...]
2015 - 10.1007/s11071-015-2223-x
Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, Vol. 82 Núm. 3 (2015) , p. 1159-1175  
9.
26 p, 274.2 KB On nonsmooth perturbations of nondegenerate planar centers / Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática)
We provide sufficient conditions for the existence of limit cycles of non-smooth perturbed planar centers when the discontinuity set is a union of regular curves. We introduce a mechanism which allows us to deal with such systems. [...]
2014 - 10.5565/287237
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 395-420  

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