Algebraic Limit Cycles in Piecewise Linear Differential Systems

Claudio A. Buzzi; Armengol Gasull; Joan Torregrosa

doi:https://doi.org/10.1142/S0218127418500396

Algebraic Limit Cycles in Piecewise Linear Differential Systems

Claudio A. Buzzi, Armengol Gasull, Joan Torregrosa

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

4 Citations (Scopus)

Abstract

© 2018 World Scientific Publishing Company. This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.

Original language	English
Article number	1850039
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	28
Issue number	3
DOIs	https://doi.org/10.1142/S0218127418500396
Publication status	Published - 1 Mar 2018

Keywords

Nonsmooth differential system
algebraic limit cycle
hyperbolic and double limit cycle
piecewise linear differential system
saddle-node bifurcation of limit cycles

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title = "Algebraic Limit Cycles in Piecewise Linear Differential Systems",

abstract = "{\textcopyright} 2018 World Scientific Publishing Company. This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.",

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AU - Gasull, Armengol

AU - Torregrosa, Joan

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N2 - © 2018 World Scientific Publishing Company. This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.

AB - © 2018 World Scientific Publishing Company. This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some one-parameter families with a saddle-node bifurcation of algebraic limit cycles. We also show that all degrees for algebraic limit cycles are allowed.

KW - Nonsmooth differential system

KW - algebraic limit cycle

KW - hyperbolic and double limit cycle

KW - piecewise linear differential system

KW - saddle-node bifurcation of limit cycles

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DO - https://doi.org/10.1142/S0218127418500396

M3 - Article

VL - 28

IS - 3

M1 - 1850039

ER -

Algebraic Limit Cycles in Piecewise Linear Differential Systems

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Keywords

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