On the limit cycles of a class of piecewise linear differential systems in ℝ4 with two zones

We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the number of limit cycles that bifurcate from a center, up to first order expansion of the displacement function. Moreover, this upper bound is reached. The main technique used is the averaging method.

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Year of publication:	2011
Authors:	Buzzi, C.A. ; Llibre, J. ; Medrado, J.C.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 82.2011, 4, p. 533-539
Publisher:	Elsevier
Subject:	Limit cycles \| Averaging theory \| Piecewise linear systems with two zones

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050373