Subexponential instability in one-dimensional maps implies infinite invariant measure

被引：22

作者：

Akimoto, Takuma ^{[1
]}

Aizawa, Yoji ^{[1
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Adv Sch Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan

来源：

CHAOS | 2010年 / 20卷 / 03期

关键词：

chaos; Lyapunov methods; statistical mechanics; LYAPUNOV EXPONENTS; DYNAMICAL-SYSTEMS; TRANSFORMATIONS;

D O I：

10.1063/1.3470091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize dynamical instability of weak chaos as subexponential instability. We show that a one-dimensional, conservative, ergodic measure preserving map with subexponential instability has an infinite invariant measure, and then we present a generalized Lyapunov exponent to characterize subexponential instability. (c) 2010 American Institute of Physics. [doi: 10.1063/1.3470091]

引用

页数：7

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