TRANSIENT CHAOS IN A PARAMETRICALLY DAMPED PENDULUM

被引：18

作者：

BLACKBURN, JA

SMITH, HJT

EDMUNDSON, DE

机构：

[1] UNIV WATERLOO, DEPT PHYS, WATERLOO N2L 3G1, ONTARIO, CANADA

[2] SIMON FRASER UNIV, DEPT PHYS, BURNABY V5A 1S6, BC, CANADA

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.45.593

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The parametrically damped pendulum exhibits chaotic transients over a sizable portion of its state space. Using the techniques of interpolated cell mapping (ICM), it has been found that these transients arise from the spatial congruence of the basin of attraction of a stable stationary solution and the remnant of a destroyed strange attractor. The mean transient lifetime is found to scale as \epsilon-epsilon(c)\-gamma, where epsilon is a system control parameter, epsilon(c) is its value at the chaotic boundary, and gamma is the critical exponent. Also included are ICM data that reveal the nature of basin transformations as nonchaotic boundaries in the state diagram are traversed.

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页码：593 / 599

页数：7

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