从耦合系统中的低维同步混沌到高维去同步时空混沌。

From low-dimensional synchronous chaos to high-dimensional desynchronous spatiotemporal chaos in coupled systems.

作者信息

Hu G, Zhang Y, Cerdeira HA, Chen S

机构信息

Chinese Center for Advanced Science and Technology (World Laboratory), Beijing 8730, China and Department of Physics, Beijing Normal University, Beijing 100875, China.

出版信息

Phys Rev Lett. 2000 Oct 16;85(16):3377-80. doi: 10.1103/PhysRevLett.85.3377.

DOI:10.1103/PhysRevLett.85.3377

PMID:11030900

Abstract

The dynamic behavior of coupled chaotic oscillators is investigated. For small coupling, chaotic state undergoes a transition from a spatially disordered phase to an ordered phase with an orientation symmetry breaking. For large coupling, a transition from full synchronization to partial synchronization with translation symmetry breaking is observed. Two bifurcation branches, one in-phase branch starting from synchronous chaos and the other antiphase branch bifurcated from spatially random chaos, are identified by varying coupling strength epsilon. Hysteresis, bistability, and first-order transitions between these two branches are observed.

摘要

研究了耦合混沌振荡器的动力学行为。对于弱耦合，混沌状态经历从空间无序相到具有取向对称性破缺的有序相的转变。对于强耦合，观察到从完全同步到具有平移对称性破缺的部分同步的转变。通过改变耦合强度ε，识别出两个分岔分支，一个是从同步混沌开始的同相分支，另一个是从空间随机混沌中分岔出的反相分支。观察到这两个分支之间的滞后、双稳性和一阶转变。