6533b7d9fe1ef96bd126b962

RESEARCH PRODUCT

Critical Attractor and Universality in a Renormalization Scheme for Three Frequency Hamiltonian Systems

Hans-rudolf JauslinCristel Chandre

subject

PhysicsCritical phenomenaGeneral Physics and AstronomyFOS: Physical sciencesTorusNonlinear Sciences - Chaotic DynamicsStable manifoldUniversality (dynamical systems)Hamiltonian systemRenormalizationAttractorChaotic Dynamics (nlin.CD)Critical exponentMathematics::Symplectic GeometryMathematical physics

description

We study an approximate renormalization-group transformation to analyze the breakup of invariant tori for three degrees of freedom Hamiltonian systems. The scheme is implemented for the spiral mean torus. We find numerically that the critical surface is the stable manifold of a critical nonperiodic attractor. We compute scaling exponents associated with this fixed set, and find that they can be expected to be universal.

yearjournalcountryeditionlanguage
1998-07-02
10.1103/physrevlett.81.5125http://arxiv.org/abs/chao-dyn/9807007