On the Accumulation of Limit Cycles

DOI10.2307/2046356zbMath0626.34022OpenAlexW4239903535MaRDI QIDQ3029346

Lawrence M. Perko

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046356

zbMATH Keywords

critical pointLimit cycles

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)

Related Items (9)

Finiteness for critical periods of planar analytic vector fields ⋮ Plane Autonomous Systems with Rational Vector Fields ⋮ On structural stability of evolutionary stable strategies ⋮ A topological characterization of the \(\omega \)-limit sets for analytic flows on the plane, the sphere and the projective plane ⋮ The period function near a polycyclic with two semi-hyperbolic vertices ⋮ A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems ⋮ On a Morse conjecture for analytic flows on compact surfaces ⋮ Global Families of Limit Cycles of Planar Analytic Systems ⋮ Bifurcation of Critical Periods for Plane Vector Fields

Cites Work

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• Keeping track of limit cycles
• Existence, uniqueness, and nonexistence of limit cycles for a class of quadratic systems in the plane
• Limit-cycles and rotated vector fields
• Separatrix and Limit Cycles of Quadratic Systems and Dulac's Theorem

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