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

The result's identifiers

  • 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

Alternative languages

  • 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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • 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)

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archivum Mathematicum

  • ISSN

    1212-5059

  • e-ISSN

  • 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

  • EID of the result in the Scopus database