文章基本信息

标题：Discrete chaos in a novel two-dimensional fractional chaotic map
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作者：Jie Ran
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：294
DOI：10.1186/s13662-018-1760-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a two-dimensional discrete fractional reduced Lorenz map is achieved by utilizing discrete fractional calculus. By adopting the bifurcation diagrams, chaos diagram, and phase portraits, the chaotic dynamics of the two-dimensional discrete fractional reduced Lorenz map are analyzed. Complexity of this fractional map versus parameters is discussed by employing the C 0 $C_($ algorithm. It is found that this fractional map has rich dynamical behaviors. In addition, it also shows that the C 0 $C_($ algorithm provides a parameter choice method for practice applications of discrete fractional maps. Finally, some numerical simulations are given to demonstrate the effectiveness of the proposed results.
关键词：Discrete fractional calculus ; Caputo-like delta difference ; Chaos ; (C_() algorithm