Homoclinic Loop and Multiple Limit Cycle Bifurcation Surfaces

DOI10.2307/2154710zbMath0813.58040OpenAlexW4245642138MaRDI QIDQ4305926

Lawrence M. Perko

Publication date: 6 June 1995

Full work available at URL: https://doi.org/10.2307/2154710

zbMATH Keywords

limit cyclehomoclinic loopdisplacement functionbifurcation surface

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

A proof of Perko's conjectures for the Bogdanov-Takens system ⋮ Stability and cyclicity of polycycles in non-smooth planar vector fields ⋮ On structural stability of evolutionary stable strategies ⋮ Phase portraits of (2;0) reversible vector fields with symmetrical singularities ⋮ Complete bifurcation diagram and global phase portraits of Liénard differential equations of degree four ⋮ Local bifurcations and a survey of bounded quadratic systems

Cites Work

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