BAUTIN BIFURCATION OF A MODIFIED GENERALIZED VAN DER POL-MATHIEU EQUATION

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00087831" target="_blank" >RIV/00216224:14310/16:00087831 - isvavai.cz</a>

Result on the web

<a href="http://emis.muni.cz/journals/AM/16-1/am2548.pdf" target="_blank" >http://emis.muni.cz/journals/AM/16-1/am2548.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

BAUTIN BIFURCATION OF A MODIFIED GENERALIZED VAN DER POL-MATHIEU EQUATION

Original language description

The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapunov quantities of the autonomous system associated with the modified Van der Pol-Mathieu equation are computed.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Archivum Mathematicum

ISSN

1212-5059

e-ISSN

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Volume of the periodical

2016

Issue of the periodical within the volume

52

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

22

Pages from-to

49-70

UT code for WoS article

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EID of the result in the Scopus database

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