Averaging theory for discontinuous piecewise differential systems

Jaume Llibre; Ana C. Mereu; Douglas D. Novaes

doi:https://doi.org/10.1016/j.jde.2015.01.022

Averaging theory for discontinuous piecewise differential systems

Jaume Llibre, Ana C. Mereu, Douglas D. Novaes

Department of Mathematics

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

85 Citations (Scopus)

Abstract

© 2015 Elsevier Inc. We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.

Original language	English
Pages (from-to)	4007-4032
Journal	Journal of Differential Equations
Volume	258
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2015.01.022
Publication status	Published - 1 Jan 2015

Keywords

Discontinuous differential systems
Limit cycles averaging theory
Nonsmooth dynamical systems
Periodic solutions

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https://doi.org/10.1016/j.jde.2015.01.022

https://ddd.uab.cat/record/145341

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title = "Averaging theory for discontinuous piecewise differential systems",

abstract = "{\textcopyright} 2015 Elsevier Inc. We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.",

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author = "Jaume Llibre and Mereu, {Ana C.} and Novaes, {Douglas D.}",

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T1 - Averaging theory for discontinuous piecewise differential systems

AU - Llibre, Jaume

AU - Mereu, Ana C.

AU - Novaes, Douglas D.

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N2 - © 2015 Elsevier Inc. We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.

AB - © 2015 Elsevier Inc. We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.

KW - Discontinuous differential systems

KW - Limit cycles averaging theory

KW - Nonsmooth dynamical systems

KW - Periodic solutions

U2 - https://doi.org/10.1016/j.jde.2015.01.022

DO - https://doi.org/10.1016/j.jde.2015.01.022

M3 - Article

SN - 0022-0396

VL - 258

SP - 4007

EP - 4032

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

Averaging theory for discontinuous piecewise differential systems

Abstract

Keywords

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