SCALING PROPERTIES OF MULTIFRACTAL FUNCTIONS AT AN ATTRACTOR-REPELLER TRANSITION

被引：3

作者：

COSENZA, MG ^{[1
]}

SWIFT, JB ^{[1
]}

机构：

[1] UNIV TEXAS, DEPT PHYS, AUSTIN, TX 78712 USA

来源：

PHYSICAL REVIEW A | 1990年 / 41卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.41.6615

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Multifractal properties of repelling sets generated by hyperbolic maps are studied as a function of a parameter describing a transition to an attracting interval. Critical indices in the scaling behavior of multifractal functions are found when a uniform probability density is assumed. A constant probability is also considered, and the resulting thermodynamiclike functions are investigated close to the critical value of the parameter. © 1990 The American Physical Society.

引用

页码：6615 / 6620

页数：6

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