带有三角函数的二维分数阶离散系统的混沌现象

刘明明, 夏铁成, 王金波

doi:10.12066/j.issn.1007-2861.1934

上海大学学报(自然科学版) >

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

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

研究论文

带有三角函数的二维分数阶离散系统的混沌现象

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^1. 上海大学理学院, 上海 200444
^2. 中国电子科技集团公司第三十研究所国家保密通讯重点实验室,成都 610041

收稿日期: 2017-05-22

网络出版日期: 2019-05-05

基金资助

国家自然科学基金资助项目(61072147, 11271108)

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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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摘要

推广一个带有三角函数的二维分数阶离散混沌系统到分数阶,并通过数值仿真得到不同分数阶差分下的分岔图、混沌解和相位图,以刻画分数阶时的混沌现象.

关键词： 分数阶差分; 分岔图; 混沌解; 相位图; 混沌现象

本文引用格式

刘明明, 夏铁成, 王金波 . 带有三角函数的二维分数阶离散系统的混沌现象[J]. 上海大学学报(自然科学版), 2019 , 25(2) : 222 -226 . DOI: 10.12066/j.issn.1007-2861.1934

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

参考文献

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