Journal of Shanghai University(Natural Science Edition) ›› 2019, Vol. 25 ›› Issue (2): 222-226.doi: 10.12066/j.issn.1007-2861.1934

• Research Articles • Previous Articles     Next Articles

Two-dimensional fractional discrete chaos combined with trigonometric functions

LIU Mingming1, XIA Tiecheng1(), WANG Jinbo2   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China
    2. Key Laboratory of Security Communications, The 30th Research Institute of China Electronics Technology Group Corporation,Chengdu 610041, China
  • Received:2017-05-22 Online:2019-04-30 Published:2019-05-05
  • Contact: Tiecheng XIA E-mail:xiatc@shu.edu.cn

Abstract:

A discrete chaotic map combined with trigonometric functions is generalized to fractional ones. Through numerical simulation, the chaos behaviors of the maps are discussed by bifurcation diagrams,solutions and phase portraits when the difference orders are fractional.

Key words: fractional difference order, bifurcation diagram, chaotic solution, phase portraits, chaos behaviors

CLC Number: