Crossing Periodic Orbits via First Integrals-Reference-Cited by-同舟云学术

Crossing Periodic Orbits via First Integrals

Published:2020-09-15 Issue:11 Volume:30 Page:2050163
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Llibre Jaume¹,Tonon Durval José²,Velter Mariana Queiroz²

Affiliation:

1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

2. Instituto de Matemática e Estatística, Universidade Federal de Goiás, CEP 74001-970, Caixa Postal 131 Goiânia, Goiás, Brazil

Abstract

We characterize the families of periodic orbits of two discontinuous piecewise differential systems in [Formula: see text] separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420501631

Reference9 articles.

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2. Appl. Math. Sci.;di Bernardo M.,2008

3. n-1 independent first integrals for linear differential systems in R n and C n

4. Differential Equations with Discontinuous Righthand Sides

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