PERTURBATION-THEORY ANALYSIS OF CHAOS .3. PERIOD DOUBLING BIFURCATIONS IN A SIMPLE-MODEL

被引：2
|
作者：
SHIMIZU, T
机构：
[1] Division of Physics, Faculty of Engineering, Kokushikan University, Setagaya-Ku, Tokyo
来源：
PHYSICA A | 1991年 / 178卷 / 01期
关键词：
D O I：
10.1016/0378-4371(91)90076-O
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the nonlinear scale method the asymptotic solution of a three-dimensional differential system is calculated to elucidate the period-doubling bifurcation route to chaos. As an stochastic description of chaos a Langevin-type equation with a vacillation force is derived. The stochastic and deterministic nature of the vacillation force is studied.
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页码：101 / 122
页数：22
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