On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones

Buzzi, C. A.; Llibre, J.; Medrado, J. C.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones

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Author(s):	Buzzi, C. A. ^[1] ; Llibre, J. ^[2] ; Medrado, J. C. ^[3] Total Authors: 3
Affiliation:	^[1] IBILCE UNESP, BR-15054000 Sao Paulo - Brazil ^[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain ^[3] Univ Fed Goias, Inst Matemat & Estat, BR-74001970 Goiania, Go - Brazil Total Affiliations: 3
Document type:	Journal article
Source:	MATHEMATICS AND COMPUTERS IN SIMULATION; v. 82, n. 4, p. 533-539, DEC 2011.
Web of Science Citations:	4
Abstract
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. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved. (AU)

FAPESP's process:	07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:	Luiz Antonio Barrera San Martin
Support Opportunities:	Research Projects - Thematic Grants

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