Pineda M, Cosenza M G
Max-Planck-Institut für Physik Komplexer Systeme, Nöthnizer Strasse 38, 01187 Dresden, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 May;71(5 Pt 2):057201. doi: 10.1103/PhysRevE.71.057201. Epub 2005 May 5.
The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction. It is shown that chaotic synchronized states in both systems are equivalent, but the collective states arising after the chaotic synchronized state becomes unstable can be different in these two systems. It is found that the external drive induces chaotic synchronization as well as synchronization of unstable periodic orbits of the local dynamics in the driven lattice. On the other hand, the addition of a global interaction in the autonomous system allows for chaotic synchronization which is not possible in a large coupled map system possessing only local couplings.
将受外部驱动的局部耦合映射晶格中出现的同步现象与具有相似局部耦合加上全局相互作用的自治耦合映射系统中的同步过程进行了比较。结果表明，两个系统中的混沌同步状态是等效的，但在这两个系统中，混沌同步状态变得不稳定后出现的集体状态可能不同。研究发现，外部驱动在受驱动晶格中既会引发混沌同步，也会引发局部动力学不稳定周期轨道的同步。另一方面，在自治系统中添加全局相互作用可实现混沌同步，而这在仅具有局部耦合的大型耦合映射系统中是不可能的。
