Generalized synchronization and coherent structures in spatially extended systems

被引：8
|
作者：
Basnarkov, Lasko [1 ,3 ]
Duane, Gregory S. [2 ,3 ]
Kocarev, Ljupco [1 ,3 ,4 ]
机构：
[1] SS Cyril & Methodius Univ, Fac Comp Sci & Engn, Skopje, Macedonia
[2] Univ Colorado, Dept Atmospher & Ocean Sci, Boulder, CO 80309 USA
[3] Macedonian Acad Sci & Arts, Skopje, Macedonia
[4] Univ Calif San Diego, BioCircuits Inst, San Diego, CA 92103 USA
来源：
CHAOS SOLITONS & FRACTALS | 2014年 / 59卷
关键词：
SPATIOTEMPORAL CHAOS; DATA ASSIMILATION; EQUATIONS;
D O I：
10.1016/j.chaos.2013.11.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the synchronization of a coupled pair of one-dimensional Kuramoto-Sivashinsky systems, with equations augmented by a third-space-derivative term. With two different values of a system parameter, the two systems synchronize in the generalized sense. The phenomenon persists even in the extreme case when one of the equations is missing the extra term. Master-slave synchronization error is small, so the generalized synchronization relationship is useful for predicting the state of the master from that of the slave, or conversely, for controlling the slave. The spatial density of coupling points required to bring about generalized synchronization appears to be related to the wavelength of traveling wave solutions, and more generally to the width of coherent structures in the separate systems. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：35 / 41
页数：7
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