Global bifurcation analysis of limit cycles for a generalized van der Pol system

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wias_preprints_2639.pdf (197.83 KB)

Date

2019

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Advisor

Volume

2639

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Journal

Series Titel

WIAS Preprints

Book Title

Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Link to publishers' Version

https://doi.org/10.20347/WIAS.PREPRINT.2639

Abstract

We present a new approach for the global bifurcation analysis of limit cycles for a generalized van der Pol system. It is based on the existence of a Dulac-Cherkas function and on applying two topologically equivalent systems: one of them is a rotated vector field, the other one is a singularly perturbed system.

Description

Keywords

Global bifurcation analysis, generalized van der Pol system, Dulac--Cherkas function, rotated vector field, singularly perturbed system

Keywords GND

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Publication Type

Report

Version

publishedVersion

URI

https://oa.tib.eu/renate/handle/123456789/9223
 https://doi.org/10.34657/8261

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Mathematik
WIAS Preprints

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