驱动响应系统之间的广义同步与相同步

Generalized Synchronization VS Phase Synchronization in Drive-Response Chaotic Systems

研究了驱动响应混沌系统之间的广义同步和相同步关系。借助辅助系统方法,通过计算系统的平均旋转数,分别研究了驱动响应混沌系统之间达到广义同步和相同步时,广义同步和相同步与耦合强度的关系。结果表明,随着耦合强度的增加,广义同步总是先于相同步发生,即系统间达到广义同步所需的耦合强度小于达到相同步所需的耦合强度,这说明了广义同步弱于相同步,相同步是广义同步的一种。

The relation between generalized synchronization （GS） and phase synchronization （PS） is investigated in this paper. By using the auxiliary system approach and calculating the average winding number, we study GS and PS of drive-response chaotic systems as the coupling strength changing, finding that with the increase of coupling strength, GS can be achieved before PS, i.e. , the coupling strength needed to realize GS is smaller than that needed to achieve PS. This indicates that GS can be weaker than PS, and PS is a kind of GS.