阵列动力系统广义同步的新理论及计算机模拟

Theorems and Computer Simulations on the Generalized Synchronization of Array Dynamical Systems

摘要: 提出了两个定理,据此可构造通过线性变换达到广义同步的阵列动力系统,在定理的基础上,引入了两个达到广义同步的阵列动力系统,数值模拟结果表明,这两个系统分别展示了复杂极限环广义同步和混沌广义同步。

Abstract: Two theorems are presented for constructing array dynamical systems with generalized synchronization (GS) with respect to linear transformations. Two array dynamical systems with GS are introduced based on the theorems. Numerical simulations show that the two systems display complex limit cycle GS and chaotic GS, respectively.