Differentiable generalized synchronization of chaos

被引：167

作者：

Hunt, BR

Ott, E

Yorke, JA

机构：

[1] UNIV MARYLAND, INST PLASMA RES, DEPT ELECT ENGN, COLLEGE PK, MD 20742 USA

[2] UNIV MARYLAND, INST PLASMA RES, DEPT PHYS, COLLEGE PK, MD 20742 USA

[3] UNIV MARYLAND, SYST RES INST, COLLEGE PK, MD 20742 USA

[4] UNIV MARYLAND, DEPT MATH, COLLEGE PK, MD 20742 USA

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.55.4029

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider simple Lyapunov-exponent-based conditions under which the response of a system to a chaotic drive is a smooth function of the drive state. We call this differentiable generalized synchronization (DGS). When DGS does not hold, we quantify the degree of nondifferentiability using the Holder exponent. We also discuss the consequences of DGS and give an illustrative numerical example.

引用

页码：4029 / 4034

页数：6

共 29 条

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