Existence and visualization of a hyperbolic structure in area-preserving maps

被引：1

作者：

Lazutkin, VF ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Phys, St Petersburg 198904, Russia

来源：

CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 1-3期

关键词：

The work was partially supported by INTAS grant 93-339ext; CRDF grant RM1-227; RFFI grant 97-01-00612 and a grant of the State Higher Educational Committe in Russia;

D O I：

10.1016/S0960-0779(98)00288-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a simple method which displays a hyperbolic structure in the phase space of an area preserving map. Using the picture which this method yields one can estimate the entropy of the system and its Lyapunov exponent through the size of "hyperbolic cells" inside the chaotic region. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：237 / 240

页数：4

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