Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications

DOI10.1134/S0012266117120060zbMath1391.34076OpenAlexW2790670675MaRDI QIDQ1709669

L. S. Ibragimova, M. G. Yumagulov, E. S. Imangulova

Publication date: 6 April 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117120060

zbMATH Keywords

asymptotic formulaAndronov-Hopf bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Methods for studying the stability of linear periodic systems depending on a small parameter

Cites Work

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• The investigation algorithm of stability of periodic oscillations in the problem for the Andronov-Hopf bifurcation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Elements of applied bifurcation theory.
• An operator method for investigating the stability of cycles in Hopf bifurcation
• Parameter functionability and asymptotic behavior of cycles in Hopf's bifurcation
• Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity
• The parameter functionalization method in the eigenvalue problem
• Dynamic Hopf bifurcations generated by nonlinear terms
• The method of parameter functionalization in the hopf bifurcation problem

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