scientific article

zbMath0542.58020MaRDI QIDQ3330179

James A. Yorke, John Mallet-Paret, Kathleen T. Alligood

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

periodic orbitsbifurcationclosed orbit

Mathematics Subject Classification ID

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

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Global Hopf bifurcation of two-parameter flows ⋮ John Mallet-Paret 60 ⋮ Families of periodic orbits: closed 1-forms and global continuability ⋮ Homoclinic bifurcation at resonant eigenvalues ⋮ Snakes: oriented families of periodic orbits, their sources, sinks, and continuation ⋮ Hopf bifurcation from a differentiable viewpoint ⋮ Global Hopf bifurcation in the ZIP regulatory system ⋮ \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations ⋮ Hopf bifurcation: the appearance of virtual periods in cases of resonance ⋮ On the continuability of periodic orbits of parametrized three- dimensional differential equations ⋮ Families of periodic orbits: Virtual periods and global continuability ⋮ Period doubling cascades of attractors: A prerequisite for horseshoes

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