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

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

1998-10-02

arxiv.org/abs/chao-dyn/9810009v1

Nonlinear Sciences

Chaotic Dynamics

LaTeX2e, 7 pages

Scientific paper

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.

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