Limit cycles for a class of continuous piecewise linear differential systems with three zones

Maurício Firmino Silva Lima; Jaume Llibre

doi:https://doi.org/10.1142/S0218127412501386

Limit cycles for a class of continuous piecewise linear differential systems with three zones

Maurício Firmino Silva Lima, Jaume Llibre

Department of Mathematics

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

4 Citations (Scopus)

Abstract

In this paper, we consider a class of planar continuous piecewise linear vector fields with three zones. Using the Poincaré map, we show that these systems admit always a unique limit cycle, which is hyperbolic. © 2012 World Scientific Publishing Company.

Original language	English
Article number	1250138
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	22
Issue number	6
DOIs	https://doi.org/10.1142/S0218127412501386
Publication status	Published - 1 Jan 2012

Keywords

Equilibrium point
Poincaré map
continuous piecewise
limit cycle
linear vector fields
periodic point

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https://doi.org/10.1142/S0218127412501386

https://ddd.uab.cat/record/150543

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title = "Limit cycles for a class of continuous piecewise linear differential systems with three zones",

abstract = "In this paper, we consider a class of planar continuous piecewise linear vector fields with three zones. Using the Poincar{\'e} map, we show that these systems admit always a unique limit cycle, which is hyperbolic. {\textcopyright} 2012 World Scientific Publishing Company.",

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KW - Equilibrium point

KW - Poincaré map

KW - continuous piecewise

KW - limit cycle

KW - linear vector fields

KW - periodic point

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DO - https://doi.org/10.1142/S0218127412501386

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Limit cycles for a class of continuous piecewise linear differential systems with three zones

Abstract

Keywords

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