Andronov--Hopf bifurcation for some nonlinear delay equations

A. A. Akin'shin

Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 3-15.

Résumé

We study the occurrence of Andronov–Hopf bifurcation cycles in a neighborhood of stationary points of nonlinear delay equations: we formulate conditions for the existence of a bifurcation, find the bifurcation values, and analyze the stability of the bifurcation cycles.

Détail

Mots-clés : Andronov–Hopf bifurcation, stable cycles
Keywords: stationary point, delayed argument, first Lyapunov coefficient.

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