Stable products of spheres in the nonlinear coupling of oscillators or quasi-periodic motions

DOI10.1016/J.CRMA.2004.09.017zbMath1142.37310OpenAlexW1965829326MaRDI QIDQ1763506

Mathilde Kammerer-Colin de Verdière

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.09.017

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamics induced by flows and semiflows (37C10) Dynamical systems with hyperbolic orbits and sets (37D05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Singularities in dynamics: a catastrophic viewpoint ⋮ Birth control in generalized Hopf bifurcations ⋮ The Lipschitzian core of some invariant manifold theorems ⋮ More compact invariant manifolds appearing in the nonlinear coupling of oscillators

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations de points fixes elliptiques. I: Courbes invariantes
• Quasi-periodic motions in families of dynamical systems. Order amidst chaos
• Some results on stable manifolds
• Invariant manifolds

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