网络型耦合复动力系统的同步动力学

摘要

通过讨论网络型耦合复动力系统的同步动力学问题,给出了该系统同步流形稳定性的分析方法,得到了网络型耦合复动力系统局部同步和全局同步的充分条件.所得的结果可以应用到由一个典型的复洛伦兹系统构成的网络耦合复动力系统,数值仿真表明理论结果的正确性.%By considering the synchronization dynamics in networked coupled complex dynamical systems, an analysis approach of synchronization manifold stability for coupled complex dynamical systems is proposed, and then the sufficiency conditions for both local and global synchronization of such dynamical network are presented. Subsequently, the results are illustrated by a typical networked system composing of the representative complex Lorenz oscillators, and numerical simulations are given to verify and also visualize the theoretical results.