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Grin, Alexander [Author]; Schneider, Klaus R. [Author]

Study of the Bifurcation of a Multiple Limit Cycle of the Second Kind by Means of a Dulac–Cherkas Function: A Case Study

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  • Media type: Text; E-Article
  • Title: Study of the Bifurcation of a Multiple Limit Cycle of the Second Kind by Means of a Dulac–Cherkas Function: A Case Study
  • Contributor: Grin, Alexander [Author]; Schneider, Klaus R. [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2016
  • Language: English
  • DOI: https://doi.org/10.1142/s0218127416502291
  • Keywords: generalized pendulum equation -- limit cycles of the second kind -- limit cycle of multiplicity three -- bifurcation behavior -- Dulac--Cherkas function ; article
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: We consider a generalized pendulum equation depending on the scalar parameter $\mu$ having for $\mu=0$ a limit cycle $\Gamma$ of the second kind and of multiplicity three. We study the bifurcation behavior of $\Gamma$ for $-1 \le \mu \le (\sqrt{5}+3)/2$ by means of a Dulac-Cherkas function.