从同步到涌现

From Synchronization to Emergence

研究复杂系统基本单元之间的同步和复杂系统中斑图涌现的关系。通过分析构成复杂系统的基本单元之间存在的各种形式的同步关系,得出以下观点:从动力学观点来看,复杂系统中斑图涌现的出现,实质上是这些基本单元之间存在的各种形式的同步在宏观上的表现。用实例验证了在一种特殊的同步-滞后同步情况下这种观点的正确性。

This paper investigates the relation between the synchronization among the basic units of a complex system and the pattern emergence in the complex system. First, by analyzing the various synchronizations among the basic units composing the complex system, a new idea is proposed as follows： From the dynamics viewpoint, the pattern emergence in a complex system is the representation of various synchronizations among the basic units on the large scale. Then, an example is used to verify the correctness of the idea under a special kind of synchronization-lag synchronization.