An operator method for investigating the stability of cycles in Hopf bifurcation

zbMath0923.34040MaRDI QIDQ1287524

M. G. Yumagulov, N. A. Kuznetsov, Mark A. Krasnosel'skii

Publication date: 24 May 1999

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

stabilityinstabilityfree oscillationsHopf bifurcation

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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (4)

Langford model: dynamics, bifurcations, attractors ⋮ Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications ⋮ The asymptotic formulae in the problem on constructing hyperbolicity and stability regions of dynamical systems ⋮ A study of the boundaries of stability regions in two-parameter dynamical systems

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