Chaotic synchronization in Hamiltonian systems

被引：15

作者：

Heagy, J. F. ^{[1
]}

Carroll, T. L. ^{[1
]}

机构：

[1] USN, Res Lab, Washington, DC 20375 USA

来源：

CHAOS | 1994年 / 4卷 / 02期

关键词：

D O I：

10.1063/1.166016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that Hamiltonian systems can exhibit the phenomenon of chaotic synchronization. Specific attention is paid to the standard map. Analytic synchronization conditions are derived and numerically verified for the standard map. We report on experimental studies of an analog electronic circuit realization of a ''piecewise linear standard map.'' When coupled appropriately to a duplicate circuit, chaotic synchronization is observed. The relevance of this study to synchronization in other Hamiltonian systems is discussed.

引用

页码：385 / 390

页数：6

共 13 条

[1]

Carroll T. L., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P659, DOI 10.1142/S021812749200077X

[2] SYNCHRONIZING NONAUTONOMOUS CHAOTIC CIRCUITS [J].