Kocarev Ljupco, Tasev Zarko, Stojanovski Toni, Parlitz Ulrich
Department of Electrical Engineering, St. Cyril and Methodius University, Skopje, P.O. Box 574, Republic of Macedonia.
Chaos. 1997 Dec;7(4):635-643. doi: 10.1063/1.166263.
We show analytically and numerically that a pair of uni-directionally coupled spatially extended systems can synchronize. For the case of partial differential equations the synchronization can be achieved by applying the scalar driving signals only at finite number of space points. Our approach is very general and can be useful for practical applications since the synchronization is achieved via feeding in the response system only the information from certain (discrete) spatial locations of the drive system. We also stress some open problems in the field of synchronization of spatiotemporal chaos. (c) 1997 American Institute of Physics.
我们通过解析和数值方法表明,一对单向耦合的空间扩展系统能够实现同步。对于偏微分方程的情况,仅在有限数量的空间点上施加标量驱动信号就能实现同步。我们的方法非常通用,对于实际应用可能很有用,因为同步是通过仅将来自驱动系统某些(离散)空间位置的信息输入到响应系统来实现的。我们还强调了时空混沌同步领域中的一些未解决问题。(c)1997美国物理研究所。