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

DOI10.1142/S0218127416502291zbMath1357.34063MaRDI QIDQ2969071

Alexander Grin, Klaus R. Schneider

Publication date: 14 March 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Dulac-Cherkas functionbifurcation behaviorlimit cycles of the second kindgeneralized pendulum equationlimit cycle of multiplicity three

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items (2)

Unnamed Item ⋮ Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder

Cites Work

• Limit cycle function of the second kind for autonomous systems on the cylinder
• Transversal conics and the existence of limit cycles
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