A rigidity property of perturbations of \(n\) identical harmonic oscillators

DOI10.1007/s12346-020-00426-wzbMath1452.37025OpenAlexW3086817662MaRDI QIDQ2007002

Massimo Villarini

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00426-w

zbMATH Keywords

perturbationlinearizationvector fieldrigidityharmonic oscillatormulticenterBirkhoff section

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Generic properties, structural stability of dynamical systems (37C20)

Cites Work

• Foliations: geometric studies
• A counterexample to the periodic orbit conjecture
• On the Poincaré-Lyapunov centre theorem
• Singularities of vector fields
• Smooth foliations by circles of with unbounded periods and nonlinearizable multicentres
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