标题：Synchronization and antisynchronization of N-coupled fractional-order complex chaotic systems with ring connection
作者：Jiang, Cuimei; Zhang, Fangfang; Li, Tongxing
作者机构：[Jiang, Cuimei] Qilu Univ Technol, Sch Sci, Shandong Acad Sci, Jinan 250353, Shandong, Peoples R China.; [Jiang, Cuimei] Shandong Univ Sci & Technol 更多
通讯作者地址：[Li, TX]Linyi Univ, LinDa Inst, Shandong Prov Key Lab Network Based Intelligent C, Linyi 276005, Peoples R China.
来源：MATHEMATICAL METHODS IN THE APPLIED SCIENCES
关键词：antisymmetric structure; chaos synchronization; fractional-order complex; chaotic system; ring connection
摘要：This paper is devoted to investigate synchronization and antisynchronization of N-coupled general fractional-order complex chaotic systems described by a unified mathematical expression with ring connection. By means of the direct design method, the appropriate controllers are designed to transform the fractional-order error dynamical system into a nonlinear system with antisymmetric structure. Thus, by using the recently established result for the Caputo fractional derivative of a quadratic function and a fractional-order extension of the Lyapunov direct method, several stability criteria are derived to ensure the occurrence of synchronization and antisynchronization among N-coupled fractional-order complex chaotic systems. Moreover, numerical simulations are performed to illustrate the effectiveness of the proposed design.