Chaotification of Fractional Maps

摘要：

　　Fractional difference equations,or fractional maps,appear at least in two ways.One way is that some of them directly come from the discrete dynamical process with memory or heredity.Another one is that some of them are originated from the discretization of the continuous fractional differential equations.Such maps may be not chaotic.On the other hand,anti-control of chaos (or chaotification for brevity) has potential applications in secure communication.In this paper,we make non-chaotic fractional maps chaotic by constructing suitable controllers.The presented control technique and method has been applied to the non-chaotic fractional Hénon map,which become chaotic via the designed controllers.The computer graphics are also displayed to show the efficiency of the designed controllers.

作者: C.LI L.MA H.XIAO

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444, China

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 316-319

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）