Fractional-order systems without equilibria:The first example of hyperchaos and its application to synchronization

作     者：Donato Cafagna Giuseppe Grassi 

作者机构：Dipartimento Ingegneria Innovazione Università del Salento 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2015年第24卷第8期

页      面：224-232页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

主　　题：fractional-order systems equilibrium points hyperchaotic systems synchronization 

摘      要：A challenging topic in nonlinear dynamics concerns the study of fractional-order systems without equilibrium *** particular, no paper has been published to date regarding the presence of hyperchaos in these systems. This paper aims to bridge the gap by introducing a new example of fractional-order hyperchaotic system without equilibrium points. The conducted analysis shows that hyperchaos exists in the proposed system when its order is as low as 3.84. Moreover, an interesting application of hyperchaotic synchronization to the considered fractional-order system is provided.