On the maximum number of limit cycles of a class of generalized Liénard differential systems

Justino Alavez-Ramírez; Gamaliel Blé; Jorge López-López; Jaume Llibre

doi:https://doi.org/10.1142/S0218127412500630

On the maximum number of limit cycles of a class of generalized Liénard differential systems

Justino Alavez-Ramírez, Gamaliel Blé, Jorge López-López, Jaume Llibre

Department of Mathematics

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

10 Citations (Scopus)

Abstract

Applying the averaging theory of first, second and third order to one class generalized polynomial Liénard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit. © 2012 World Scientific Publishing Company.

Original language	English
Article number	1250063
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	22
Issue number	3
DOIs	https://doi.org/10.1142/S0218127412500630
Publication status	Published - 1 Jan 2012

Keywords

Liénard differential systems
limit cycles
polynomials

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https://doi.org/10.1142/S0218127412500630

https://ddd.uab.cat/record/150547

Cite this

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On the maximum number of limit cycles of a class of generalized Liénard differential systems. / Alavez-Ramírez, Justino; Blé, Gamaliel; López-López, Jorge; Llibre, Jaume.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 22, No. 3, 1250063, 01.01.2012.

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

TY - JOUR

T1 - On the maximum number of limit cycles of a class of generalized Liénard differential systems

AU - Alavez-Ramírez, Justino

AU - Blé, Gamaliel

AU - López-López, Jorge

AU - Llibre, Jaume

PY - 2012/1/1

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N2 - Applying the averaging theory of first, second and third order to one class generalized polynomial Liénard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit. © 2012 World Scientific Publishing Company.

AB - Applying the averaging theory of first, second and third order to one class generalized polynomial Liénard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit. © 2012 World Scientific Publishing Company.

KW - Liénard differential systems

KW - limit cycles

KW - polynomials

U2 - https://doi.org/10.1142/S0218127412500630

DO - https://doi.org/10.1142/S0218127412500630

M3 - Article

VL - 22

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M1 - 1250063

ER -

On the maximum number of limit cycles of a class of generalized Liénard differential systems

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Keywords

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