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

被引：8

作者：

Chandre, C ^{[1
]}

Jauslin, HR ^{[1
]}

机构：

[1] Univ Bourgogne, CNRS, Phys Lab, F-21011 Dijon, France

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.81.5125

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study an approximate renormalization-group transformation to analyze the breakup of invariant tori for 3 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. [S0031-9007(98)07865-X].

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页码：5125 / 5128

页数：4

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