Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications
Construction of Generalized Synchronization for a Kind of Array Differential Equations and Applications
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DOI：
10.1088/0256-307x/20/12/008
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发表时间：
2003-12
影响因子：
3.5
通讯作者：
Zhang Xiaodan;Z. Lili;M. Lequan
中科院分区：
文献类型：
--
作者：
Zhang Xiaodan;Z. Lili;M. Lequan
混沌同步作为一种特殊的复杂现象，已经被研究了近十年。直到最近，广义混沌同步现象才被认识到在真实的世界中是普遍的，并具有潜在的应用。给出了构造一类关于线性变换的广义同步（GS）阵列微分方程的两个定理。在此基础上，引入了两个具有GS的阵列微分方程组。数值模拟表明，这两个系统分别表现出周期GS和混沌GS。
Chaos synchronization, as a special complex phenomenon, has been studied for about a decade. Only recently, have generalized chaotic synchronization phenomena been realized to be general in the real world and to have potential applications. We present two theorems for constructing a kind of array differential equations with generalized synchronization (GS) with respect to linear transformations. Two array differential equation systems with GS are introduced based on our theorems. Numerical simulations show that the two systems display periodic GS and chaotic GS, respectively.