Uniqueness of limit cycles for sewing planar piecewise linear systems

João C. Medrado; Joan Torregrosa

doi:https://doi.org/10.1016/j.jmaa.2015.05.064

Uniqueness of limit cycles for sewing planar piecewise linear systems

João C. Medrado, Joan Torregrosa

Department of Mathematics

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

40 Citations (Scopus)

Abstract

© 2015 Elsevier Inc. This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems with two zones separated by a straight line, σ, and only one σ-singularity of monodromic type. The proofs are based in an extension of Rolle's Theorem for dynamical systems on the plane.

Original language	English
Pages (from-to)	529-544
Journal	Journal of Mathematical Analysis and Applications
Volume	431
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2015.05.064
Publication status	Published - 1 Jan 2015

Keywords

Non-smooth differential system
Piecewise sewing planar linear differential system
Uniqueness of limit cycle

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https://doi.org/10.1016/j.jmaa.2015.05.064

https://ddd.uab.cat/record/145359

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title = "Uniqueness of limit cycles for sewing planar piecewise linear systems",

abstract = "{\textcopyright} 2015 Elsevier Inc. This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems with two zones separated by a straight line, σ, and only one σ-singularity of monodromic type. The proofs are based in an extension of Rolle's Theorem for dynamical systems on the plane.",

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AB - © 2015 Elsevier Inc. This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems with two zones separated by a straight line, σ, and only one σ-singularity of monodromic type. The proofs are based in an extension of Rolle's Theorem for dynamical systems on the plane.

KW - Non-smooth differential system

KW - Piecewise sewing planar linear differential system

KW - Uniqueness of limit cycle

U2 - https://doi.org/10.1016/j.jmaa.2015.05.064

DO - https://doi.org/10.1016/j.jmaa.2015.05.064

M3 - Article

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VL - 431

SP - 529

EP - 544

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Uniqueness of limit cycles for sewing planar piecewise linear systems

Abstract

Keywords

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