Piecewise linear feedback systems with arbitrary number of limit cycles

Jaume Llibre; Enrique Ponce

doi:https://doi.org/10.1142/S0218127403007047

Piecewise linear feedback systems with arbitrary number of limit cycles

Jaume Llibre, Enrique Ponce

Department of Mathematics

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

17 Citations (Scopus)

Abstract

The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.

Original language	English
Pages (from-to)	895-904
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	13
DOIs	https://doi.org/10.1142/S0218127403007047
Publication status	Published - 1 Jan 2003

Keywords

Averaging method
Limit cycles
Nonlinear oscillations

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title = "Piecewise linear feedback systems with arbitrary number of limit cycles",

abstract = "The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.",

keywords = "Averaging method, Limit cycles, Nonlinear oscillations",

author = "Jaume Llibre and Enrique Ponce",

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AU - Ponce, Enrique

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N2 - The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.

AB - The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.

KW - Averaging method

KW - Limit cycles

KW - Nonlinear oscillations

U2 - https://doi.org/10.1142/S0218127403007047

DO - https://doi.org/10.1142/S0218127403007047

M3 - Article

VL - 13

SP - 895

EP - 904

ER -

Piecewise linear feedback systems with arbitrary number of limit cycles

Abstract

Keywords

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