KAM--renormalization-group for Hamiltonian systems with two degrees of freedom

1998/10/02 by C. Chandré, C. Chandre, Chandre, C. +2
Mathematics · Physics and Astronomy · #Nuclear physics research studies #Numerical methods for differential equations #Quantum chaos and dynamical systems #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9810009

LaTeX2e, 7 pages

arxiv created 1998/10/02 · arxiv updated 2009/11/30

Abstract

We review a formulation of a renormalization-group scheme for Hamiltonian systems with two degrees of freedom. We discuss the renormalization flow on the basis of the continued fraction expansion of the frequency. The goal of this approach is to understand universal scaling behavior of critical invariant tori.

Related

• Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom
• Canonical structure of renormalization group equations and separability of Hamiltonian systems
• Hamiltonian Renormalization Groups
• Renormalization group method and canonical perturbation theory
• KAM Theorems for Multi-scale Torus