Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones

Shimin Li; Jaume Llibre

doi:10.1142/S0218127420502326

Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones

Shimin Li, Jaume Llibre

Departamento de Matemáticas

Guangdong University Of Finances and Economics

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

3 Citas (Scopus)

Resumen

This paper deals with planar piecewise linear slow-fast Liénard differential systems with three zones separated by two vertical lines. We show the existence and uniqueness of canard limit cycles for systems with a unique singular point located in the middle zone.

Idioma original	Inglés
Número de artículo	2050232
Publicación	International Journal of Bifurcation and Chaos
Volumen	30
N.º	15
DOI	https://doi.org/10.1142/S0218127420502326
Estado	Publicada - 15 dic 2020

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title = "Canard Limit Cycles for Piecewise Linear Li{\'e}nard Systems with Three Zones",

abstract = "This paper deals with planar piecewise linear slow-fast Li{\'e}nard differential systems with three zones separated by two vertical lines. We show the existence and uniqueness of canard limit cycles for systems with a unique singular point located in the middle zone.",

keywords = "Limit cycle, Li{\'e}nard system, piecewise linear differential system, slow-fast system",

author = "Shimin Li and Jaume Llibre",

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AU - Llibre, Jaume

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N2 - This paper deals with planar piecewise linear slow-fast Liénard differential systems with three zones separated by two vertical lines. We show the existence and uniqueness of canard limit cycles for systems with a unique singular point located in the middle zone.

AB - This paper deals with planar piecewise linear slow-fast Liénard differential systems with three zones separated by two vertical lines. We show the existence and uniqueness of canard limit cycles for systems with a unique singular point located in the middle zone.

KW - Limit cycle

KW - Liénard system

KW - piecewise linear differential system

KW - slow-fast system

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U2 - 10.1142/S0218127420502326

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M3 - Article

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JF - International Journal of Bifurcation and Chaos

IS - 15

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Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones

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