Bifurcation of Limit Cycles: Geometric Theory

DOI10.2307/2159805zbMath0769.58045OpenAlexW4231474605MaRDI QIDQ3982075

Lawrence M. Perko

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2159805

zbMATH Keywords

limit cyclesbifurcation

Mathematics Subject Classification ID

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) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

On structural stability of evolutionary stable strategies ⋮ Algebraic approximations to bifurcation curves of limit cycles for the Liénard equation ⋮ Analysis and synthesis of oscillator systems described by perturbed double hump Duffing equations ⋮ Homoclinic Loop and Multiple Limit Cycle Bifurcation Surfaces ⋮ Global Families of Limit Cycles of Planar Analytic Systems

Cites Work

• Unnamed Item
• Bifurcation of limit cycles from quadratic isochrones
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane
• Limit-cycles and rotated vector fields
• Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems
• Global Families of Limit Cycles of Planar Analytic Systems

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