Whiskered tori with prefixed frequencies and Lyapunov spectrum

DOI10.1080/02681119508806208zbMath0841.58023OpenAlexW2000681882MaRDI QIDQ4862741

Guido Gentile

Publication date: 12 February 1996

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119508806208

zbMATH Keywords

three-body problemquasi-periodic motionsLyapunov spectrumstable manifoldclassical mechanicswhiskered toriunstable manifoldsrotatorsalmost integrable Hamiltonian system

Mathematics Subject Classification ID

Three-body problems (70F07) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Exponentially Small Splitting and Arnold Diffusion for Multiple Time Scale Systems ⋮ Compensations in small divisor problems ⋮ CONSTRUCTION OF WHISKERS FOR THE QUASIPERIODICALLY FORCED PENDULUM ⋮ Frequency locking in an injection-locked frequency divider equation ⋮ Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions ⋮ LINDSTEDT SERIES FOR PERTURBATIONS OF ISOCHRONOUS SYSTEMS: A REVIEW OF THE GENERAL THEORY ⋮ An expansion of the homoclinic splitting matrix for the rapidly, quasiperiodically, forced pendulum ⋮ A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems

Cites Work

• Unnamed Item
• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• Stability of motions near resonances in quasi-integrable Hamiltonian systems
• Twistless KAM tori
• On the conservation of hyperbolic invariant tori for Hamiltonian systems

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