Critical attractor and universality in a renormalization scheme for three frequency Hamiltonian systems

Authors
Chandre, C Jauslin, HR
Citation
C. Chandre et Hr. Jauslin, Critical attractor and universality in a renormalization scheme for three frequency Hamiltonian systems, PHYS REV L, 81(23), 1998, pp. 5125-5128
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
81
Issue
23
Year of publication
1998
Pages
5125 - 5128
Database
ISI
SICI code
0031-9007(199812)81:23<5125:CAAUIA>2.0.ZU;2-Z
Abstract
We study an approximate renormalization-group transformation to analyze the breakup of invariant tori for 3 degrees of freedom Hamiltonian systems. Th e scheme is implemented for the spiral mean torus. We find numerically that the critical surface is the stable manifold of a critical nonperiodic attr actor. We compute scaling exponents associated with this fixed set, and fin d that they can be expected to be universal. [S0031-9007(98)07865-X].