耦合混沌系统中开关间歇性同步途径趋于混沌同步及空间周期性混沌同步(英文)

On-Off Intermittency Route to Chaos Synchronization and Spatial Periodic Synchronization of Chaos in Coupled Arrays of Chaotic Systems

自然界与科学研究中耦合的非线性系统的混沌同步普遍存在 .本文研究了单向耦合的环型和线型Lorenz振子的动力学行为 .我们发现环型耦合的混沌系统通过开关间歇性同步趋向混沌同步 ,此间歇性同步符合层流相指数幂分布规律 .这种趋向混沌同步的转变与环型中单个Lorenz振子由间歇性混沌趋向混沌的途径有密切关系 .在环型、线型耦合中 。

Chaos synchronization of coupled nonlinear systems is ubiquitous in nature and science. Dynamic behaviors of coupled ring and linear arrays of unidirectionally coupled Lorenz oscillators are studied numerically. We find that chaos synchronization in circular arrays of chaotic systems can occur through the on off intermittent synchronization with a power law distribution of laminar phases. And in the coupled ring and linear array it is found that the chaotic rotating waves generated from the ring propagate with spatial periodic synchronization along the linear array. 