Resultats globals: 14 registres trobats en 0.03 segons.
Articles, 14 registres trobats
Articles 14 registres trobats  1 - 10següent  anar al registre:
1.
16 p, 3.3 MB The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems / Castillo, Juan (Universidad de Sonora (Mèxic). Departamento de Matemáticas) ; Verduzco, Fernando (Universidad de Sonora (Mèxic). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The creation or destruction of a crossing limit cycle when a sliding segment changes its stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we find an unfolding for such bifurcation, and we prove the existence and uniqueness of a crossing limit cycle for this family.
2017 - 10.1007/s11071-017-3766-9
Nonlinear Dynamics, Vol. 90 (2017) , p. 1829-1840  
2.
15 p, 328.5 KB Averaging approach to cyclicity of Hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systems / Chen, Xingwu (Sichuan University (Xina). Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Weinian (Sichuan University (Xina). Department of Mathematics)
It is well known that the cyclicity of a Hopf bifurcation in continuous quadratic polynomial differential systems in \R^2 is 3. In contrast here we consider discontinuous differential systems in \R^2 defined in two half--planes separated by a straight line. [...]
2017 - 10.3934/dcdsb.2017203
Discrete and Continuous Dynamical Systems. Series B, Vol. 22 Núm. 10 (2017) , p. 3953-3965  
3.
23 p, 386.6 KB Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas (Brasil). Departamento de Matemática) ; Rodrigues, Camila A. B. (Universidade de São Paulo (Brasil). Departamento de Matemática)
This work is devoted to study the existence of periodic solutions for a family of planar discontinuous differential systems Z(x,y;) with many zones. We show that for.
2017 - 10.1016/j.physd.2017.05.003
Physica D. Nonlinear Phenomena, Vol. 353-354 (2017) , p. 1-10  
4.
13 p, 346.6 KB Piecewise linear differential systems without equilibria produce limit cycles? / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)
In this article we study the planar piecewise differential systems formed by two linear differential systems separated by a straight line, such that both linear differential have no equilibria, neither real nor virtual.
2017 - 10.1007/s11071-016-3236-9
Nonlinear Dynamics, Vol. 88 (2017) , p. 157-164  
5.
13 p, 696.9 KB Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Teixeira, Marco Antonio (Universidade Estadual de Campinas (Brasil). Departamento de Matemática)
2017 - 10.1007/s40863-017-0064-x
São Paulo Journal of Mathematical Sciences, 2017  
6.
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  
7.
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/PUBLMAT_Extra14_20
Publicacions Matematiques, Vol. Extra (2014) , p. 395-420  
8.
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  
9.
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  
10.
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  

Articles : 14 registres trobats   1 - 10següent  anar al registre:
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