On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

Jaume Llibre; Regilene Oliveira; Camila Ap B. Rodrigues

doi:10.1007/s40314-016-0413-x

On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

Jaume Llibre, Regilene Oliveira, Camila Ap B. Rodrigues

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

© 2016, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michelson differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems.

Original language	English
Pages (from-to)	1550-1561
Journal	Computational and Applied Mathematics
Volume	37
Issue number	2
DOIs	https://doi.org/10.1007/s40314-016-0413-x
Publication status	Published - 1 May 2018

Keywords

Averaging theory
Continuous piecewise linear differential systems
Discontinuous piecewise linear differential systems
Michelson system
Periodic solutions

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abstract = "{\textcopyright} 2016, SBMAC - Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional. Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michelson differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems.",

keywords = "Averaging theory, Continuous piecewise linear differential systems, Discontinuous piecewise linear differential systems, Michelson system, Periodic solutions",

author = "Jaume Llibre and Regilene Oliveira and Rodrigues, {Camila Ap B.}",

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AU - Oliveira, Regilene

AU - Rodrigues, Camila Ap B.

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Y1 - 2018/5/1

N2 - © 2016, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michelson differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems.

AB - © 2016, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michelson differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems.

KW - Averaging theory

KW - Continuous piecewise linear differential systems

KW - Discontinuous piecewise linear differential systems

KW - Michelson system

KW - Periodic solutions

U2 - 10.1007/s40314-016-0413-x

DO - 10.1007/s40314-016-0413-x

M3 - Article

VL - 37

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