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Journal of Shanghai University >

2019 , Vol. 25 >Issue 2: 222 - 226

DOI: https://doi.org/10.12066/j.issn.1007-2861.1934

Research Articles

Two-dimensional fractional discrete chaos combined with trigonometric functions

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  • 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 date: 2017-05-22

  Online published: 2019-05-05

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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

Cite this article

LIU Mingming, XIA Tiecheng, WANG Jinbo . Two-dimensional fractional discrete chaos combined with trigonometric functions[J]. Journal of Shanghai University, 2019 , 25(2) : 222 -226 . DOI: 10.12066/j.issn.1007-2861.1934

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