Revealing dynamical systems and their bifurcation structure hidden by dynamical noise

被引：0
|
作者：
Tega, T
Tokunaga, R
Kajiwara, S
Matsumoto, T
机构：
[1] UNIV TSUKUBA,INST INFORMAT SCI & ELECT,TSUKUBA,IBARAKI 305,JAPAN
[2] UNIV TSUKUBA,DOCTORAL PROGRAM ENGN,TSUKUBA,IBARAKI 305,JAPAN
[3] WASEDA UNIV,DEPT ELECT ENGN,TOKYO 169,JAPAN
来源：
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE | 1997年 / 80卷 / 11期
关键词：
chaos; bifurcation; nonlinear prediction; bifurcation diagram reconstruction; dynamical noise;
D O I：
10.1002/(SICI)1520-6440(199711)80:11<30::AID-ECJC4>3.0.CO;2-W
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper discusses bifurcation diagram reconstruction [1, 2] and shows by a numerical experiment that the correct bifurcation diagram of a dynamical system can be reconstructed from the signal of a chaotic dynamical system perturbed by a sufficiently large dynamical noise. It is also verified that the predictor derived using the proposed method not only can approximate the dynamical rules on the attractor, but also has an excellent global approximation ability on a sufficiently large open set containing the attractor. (C) 1997 Scripta Technica, Inc.
引用
收藏
页码：30 / 45
页数：16
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