More compact invariant manifolds appearing in the nonlinear coupling of oscillators

DOI10.1016/J.CRMA.2005.12.032zbMath1085.37023OpenAlexW1986104401MaRDI QIDQ817911

Mathilde Kammerer-Colin de Verdière, Santiago López de Medrano, Marc Chaperon

Publication date: 20 March 2006

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.2005.12.032

zbMATH Keywords

transformationsvector fieldsgeneric familiesnormally hyperbolic invariant compact manifolds

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for dynamical systems (37G05) Generic properties, structural stability of dynamical systems (37C20) Invariant manifold theory for dynamical systems (37D10)

Related Items (2)

Birth control in generalized Hopf bifurcations ⋮ Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics

Cites Work

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• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• Stable products of spheres in the nonlinear coupling of oscillators or quasi-periodic motions
• Invariant manifolds

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