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Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones

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Author

Llibre, Jaume

Novaes, Douglas D.

Rodrigues, Camila A. B.

Publication date

2017

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Abstract

Agraïments: The second author is supported by FAPESP grants 2015/02517-6, 2015/24841-0, and 2016/11471-2. The third author has been supported by a Ph.D. CAPES grant and by CAPES CSF-PVE-88887. The three authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC.

This work is devoted to study the existence of periodic solutions for a family of planar discontinuous differential systems Z(x,y;) with many zones. We show that for

Document Type

Article

Language

English

Subjects and keywords

Averaging method; Discontinuous differential system; Non-smooth differential systems; Periodic solution

Publisher

 

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Physica D. Nonlinear phenomena ; Vol. 353-354 (2017), p. 1-10

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