Bifurcation of a stable invariant torus from an equilibrium

DOI10.1007/BF01164258zbMath0723.34029MaRDI QIDQ757687

Yuri N. Bibikov

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

bifurcation of invariant toriinvariant manifold homeomorphic to a torus

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (5)

Bifurcations in the generalized Korteweg-de Vries equation ⋮ Dynamical bifurcation of multifrequency oscillations in a fast-slow system ⋮ On the existence of tori in Asada's two-regional model ⋮ Some bifurcation problems of stability ⋮ Conservation and bifurcation of an invariant torus of a vector field

Cites Work

• Unnamed Item
• Local theory of nonlinear analytic ordinary differential equations
• Integral manifolds of perturbed differential systems
• INVARIANT ASYMPTOTICALLY STABLE TORI OF THE PERTURBED KORTEWEG-DE VRIES EQUATION

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