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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 3, Pages 3–15
(Mi sjim788)
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This article is cited in 3 scientific papers (total in 3 papers)
Andronov–Hopf bifurcation for some nonlinear delay equations
A. A. Akin'shin Altay State Technical University, 46, Lenin av., 656038, Barnaul
Abstract:
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.
Keywords:
Andronov–Hopf bifurcation, stationary point, delayed argument, stable cycles, first Lyapunov coefficient.
Received: 04.04.2013
Citation:
A. A. Akin'shin, “Andronov–Hopf bifurcation for some nonlinear delay equations”, Sib. Zh. Ind. Mat., 16:3 (2013), 3–15
Linking options:
https://www.mathnet.ru/eng/sjim788 https://www.mathnet.ru/eng/sjim/v16/i3/p3
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Abstract page: | 670 | Full-text PDF : | 379 | References: | 69 | First page: | 11 |
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