A note on existence and uniqueness of limit cycles for Liénard systems

Timoteo Carletti; Gabriele Villari

A note on existence and uniqueness of limit cycles for Liénard systems

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Résumé

We consider the Liénard equation and we give a sufficient condition to ensure existence and uniqueness of limit cycles. We compare our result with some other existing ones and we give some applications.

langue originale	Anglais
Pages (de - à)	763-773
Nombre de pages	11
journal	Journal of Mathematical Analysis and Applications
Volume	307
Etat de la publication	Publié - 2005

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Two days on qualitative theory of differential equations
Timoteo Carletti (Conférencier)
30 sept. 2022 → 1 oct. 2022
Activité: Participation ou organisation d'un événement › Participation à un atelier/workshop, un séminaire, un cours

Contient cette citation

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title = "A note on existence and uniqueness of limit cycles for Li{\'e}nard systems",

abstract = "We consider the Li{\'e}nard equation and we give a sufficient condition to ensure existence and uniqueness of limit cycles. We compare our result with some other existing ones and we give some applications.",

keywords = "Li{\'e}nard equation, Limit cycles, Existence and uniqueness",

author = "Timoteo Carletti and Gabriele Villari",

year = "2005",

language = "English",

volume = "307",

pages = "763--773",

journal = "Journal of Mathematical Analysis and Applications",

publisher = "Academic Press Inc.",

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T1 - A note on existence and uniqueness of limit cycles for Liénard systems

AU - Carletti, Timoteo

AU - Villari, Gabriele

PY - 2005

Y1 - 2005

N2 - We consider the Liénard equation and we give a sufficient condition to ensure existence and uniqueness of limit cycles. We compare our result with some other existing ones and we give some applications.

AB - We consider the Liénard equation and we give a sufficient condition to ensure existence and uniqueness of limit cycles. We compare our result with some other existing ones and we give some applications.

KW - Liénard equation

KW - Limit cycles

KW - Existence and uniqueness

M3 - Article

VL - 307

SP - 763

EP - 773

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

A note on existence and uniqueness of limit cycles for Liénard systems

Résumé

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Two days on qualitative theory of differential equations

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