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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

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Author

D. Euzébio, Rodrigo

Llibre, Jaume

Publication date

2015

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Abstract

Agraïments: The first author is supported by the FAPESP-BRAZIL grants 2010/18015-6 and 2012/05635-1. FEDER-UNAB10-4E-378.

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.

Document Type

Article

Language

English

Subjects and keywords

Limit cycles; Nonsmooth differential system; Piecewise linear differential system

Publisher

 

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Journal of mathematical analysis and applications ; Vol. 424 (2015), p. 475-486

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Articles escrits per personal UAB o publicats per la universitat [88071]