Resultats globals: 5 registres trobats en 0.03 segons.
Articles, 5 registres trobats
Articles 5 registres trobats  
1.
31 p, 575.7 KB Limit cycles of piecewise polynomial perturbations of higher dimensional lineal differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática (Brazil)) ; Zeli, Iris O. (Instituto Tecnológico de Aeronáutica. Departamento de Matemática (Brazil))
The averaging theory has been extensively employed for studying periodic solutions of smooth and nonsmooth differential systems. Here, we extend the averaging theory for studying periodic solutions a class of regularly perturbed non-autonomous n-dimensional discontinuous piecewise smooth differential system. [...]
2020 - 10.4171/rmi/1131
Revista Matemática Iberoamericana, Vol. 36, Núm. 1 (2020) , p. 291-318  
2.
24 p, 390.1 KB Bifurcations from families of periodic solutions in piecewise differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática (Brazil)) ; Rodrigues, Camila A. B. (Universidade Federal de Santa Catarina. Departamento de Matemática (Brazil))
Consider a differential system of the form x'=F0(t,x)+∑ki=1εiFi(t,x)+εk+1R(t,x,ε),where Fi:S1×D → Rm and R:S1×D×(−ε0,ε0)→ Rm are piecewise Ck+1 functions and T-periodic in the variable t. [...]
2020 - 10.1016/j.physd.2020.132342
Physica D. Nonlinear phenomena, Vol. 404 (March 2020) , art. 132342  
3.
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  
4.
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  
5.
17 p, 673.1 KB On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line / D. Euzébio, Rodrigo (IBILCE(Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.
2015 - 10.1016/j.jmaa.2014.10.077
Journal of mathematical analysis and applications, Vol. 424 (2015) , p. 475-486  

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