Uniform hyperbolicity of invariant cylinder

2015/09/10 by Chong-Qing Cheng, Cheng, Chong-Qing
Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1509.03160

openalex publication_date 2015/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a nearly integrable Hamiltonian systems H=h(p)+εP(p,q) with (p,q)∈ℝ³×\mathbbT³, large normally hyperbolic invariant cylinders exist along the whole resonant path, except for the √ε^1+d-neighborhood of finitely many double resonant points. It allows one to construct diffusion orbits to cross double resonance.

Citations

• A way to cross double resonance

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