复杂网络系统同步的临界机理研究

针对由稳定系统与非稳定系统耦合而成的复杂系统（混合复杂系统，HCS）的同步稳定性难以确定的问题，采用先分解再合成的思想，将高阶强耦合复杂系统分解为多个简单2阶系统，采用由特殊到一般的推理方法，应用基本稳定理论对HCS系统的临界机理进行深入研究，避免了高阶系统求解特征方程的困难和李雅普诺夫法只能得到保守结论的不足．研究指出混合系统临界同步稳定特性存在且解不唯一，解的范围与系统的耦合强度相关，同时得到该类系统同步稳定的必要条件．

Mechanism of critical synchronization stability in hybrid complex systems

For the stability of the system coupled with non-stable system from the complex system(the mixed complex system,HCS),it is difficult to determine the stability of the synchronization problem.Using the ides of first decomposition and then synthesis,the high order strong coupling complex system could be decomposed into several simple two-order system.The critical theory of the mechanism of HCS system was studied,adopting the particular to the general reasoning method and the basic stability theory,to avoid the difficulties of solving high order system characteristic equation and Lyapunov law can only get less conservative conclusions.Some conclusions are given,such as the critical synchronous stability characteristics of the hybrid system exists and the solution is not unique,the scope of the solution of the system relates to the coupling.The necessary conditions of synchronism stability of such systems are also found.