UNIVERSAL SCALING OF GENERALIZED DIMENSIONS ON CRITICAL STRANGE SETS

被引：14

作者：

CAO, KF

PENG, SL

机构：

[1] CHINA CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA

[2] YUNNAN UNIV,DEPT PHYS,YUNNAN 650091,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 03期

关键词：

D O I：

10.1088/0305-4470/25/3/017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

There exists a global universality for the generalized dimensions D(q)(A) on all critical points of phase transitions from period-eta-tuplings to chaos in 1D iterative systems. As a consequence of this global universality we propose a new scaling scheme of the generalized dimensions D(q)(A)/D0(A) and the dimension spectra of singularities f(alpha(q, A))/f(alpha(0, A)), which is also universal, independent of all U-sequences A.

引用

页码：589 / 599

页数：11

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