On the bifurcation of separatrices in the problem of stability loss of auto-oscillations near 1:4 resonance

DOI10.1016/0021-8928(80)90070-2zbMath0485.58015OpenAlexW2030281797MaRDI QIDQ1164301

Faina Berezovskaya, Alexander I. Khibnik

Publication date: 1980

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90070-2

zbMATH Keywords

complex differential equationseparatriceslimit cycles near the origin and their bifurcationrest points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations in the complex domain (34M99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Bifurcations of certain family of planar vector fields tangent to axes ⋮ Phase Portraits of Planar Vector Fields: Computer Proofs ⋮ Analysis of 1:4 resonance in a monopoly model with memory ⋮ Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies

Cites Work

• Bifurcations of the phase pattern of an equation system arising in the problem of stability loss of selfoscillations close to 1:4 resonance
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• Unnamed Item

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