Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals

Llibre, Jaume; Teixeira, Marco Antonio

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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.)

Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals

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Author(s):	Llibre, Jaume ^[1] ; Teixeira, Marco Antonio ^[2] Total Authors: 2
Affiliation:	^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain ^[2] Univ Estadual Campinas, Dept Matemat, BR-13083970 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 12, n. 1, p. 121-135, JUN 2018.
Web of Science Citations:	0
Abstract
Our main concern is to discuss the existence of periodic orbits for certain piecewise linear differential systems in R-n, where the discontinuity set is a hyper-surface Sigma. Using the fact that every linear differential system is always completely integrable, we illustrate for two piecewise linear differential systems, one in R-3 and the other in R-4, how to study analytically their periodic solutions. (AU)

FAPESP's process:	12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:	Marco Antônio Teixeira
Support Opportunities:	Research Projects - Thematic Grants

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