Discrete chaos in fractional delayed logistic maps

被引：0
作者：
Guo-Cheng Wu
Dumitru Baleanu
机构：
[1] Neijiang Normal University,Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science
[2] Sichuan University,College of Water Resource and Hydropower
[3] King Abdulaziz University,Department of Chemical and Materials Engineering, Faculty of Engineering
[4] Cankaya University,Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences
[5] Institute of Space Sciences,undefined
来源：
Nonlinear Dynamics | 2015年 / 80卷
关键词：
Discrete fractional calculus; Chaos; Caputo-like delta difference;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Recently the discrete fractional calculus (DFC) started to gain much importance due to its applications to the mathematical modeling of real world phenomena with memory effect. In this paper, the delayed logistic equation is discretized by utilizing the DFC approach and the related discrete chaos is reported. The Lyapunov exponent together with the discrete attractors and the bifurcation diagrams are given.
引用
收藏
页码：1697 / 1703
页数：6
相关论文
共 52 条
  • [1] Wang XF(1999)On feedback anticontrol of discrete chaos Int. J. Bifurc. Chaos 9 1435-1441
  • [2] Chen G(2002)Some observer-based criteria for discrete-time generalized chaos synchronization Chaos Solitons Fractals 13 1303-1308
  • [3] Yang X.S.(2005)QS synchronization in 3D Henon-like map and generalized H Phys. Lett. A 342 309-317
  • [4] Chen G.(2006)non map via a scalar controller Image Vis. Comput. 24 926-934
  • [5] Yan Z(2008)Image encryption using chaotic logistic map Chaos Solitons Fractals 35 408-419
  • [6] Pareek NK(2003)A novel algorithm for image encryption based on mixture of chaotic maps Phys. Rev. Lett. 90 014101-989
  • [7] Patidar V(2004)Self-organized and driven phase synchronization in coupled maps Phys. Rev. Lett. 92 144101-9
  • [8] Sud KK(2009)Delays, connection topology, and synchronization of coupled chaotic maps Proc. Am. Math. Soc. 137 981-1601
  • [9] Behnia S(2010)Initial value problems in discrete fractional calculus J. Math. Anal. Appl. 369 1-1611
  • [10] Akhshani A(2011)Modeling with fractional difference equations Comput. Math. Appl. 62 1591-566
123456