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Type: Artigo
Title: Birth Of Limit Cycles For A Class Of Continuous And Discontinuous Differential Systems In (d+2)-dimension
Author: Llibre
Jaume; Teixeira
Marco A.; Zeli
Iris O.
Abstract: The orbits of the reversible differential system x = y, y = x, z =0 w ith x,y is an element of and z is an element of R-d are periodic with the exception of the equilibrium points 0, 0, z 1,., z d). 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. In the first case, this maximum number is n(d) (n-1)/2, and in the second, it is n(d+1.)
Subject: Limit Cycle
Averaging Method
Periodic Orbit
Polynomial Differential System
Discontinuous Polynomial Differential Systems
Editor: Taylor & Francis Ltd
Rights: fechado
Identifier DOI: 10.1080/14689367.2015.1102868
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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