Design new chaotic maps based on dimension expansion

doi:10.1088/1674-1056/28/2/020503

中国物理B ›› 2019, Vol. 28 ›› Issue (2): 20503-020503.doi: 10.1088/1674-1056/28/2/020503

Design new chaotic maps based on dimension expansion

Abdulaziz O A Alamodi, Kehui Sun(孙克辉), Wei Ai(艾维), Chen Chen(陈晨), Dong Peng(彭冬)

School of Physics and Electronics, Central South University, Changsha 410083, China

收稿日期:2018-11-01 修回日期:2018-12-16 出版日期:2019-02-05 发布日期:2019-02-05
通讯作者: Kehui Sun E-mail:kehui@scu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383).

Design new chaotic maps based on dimension expansion

Abdulaziz O A Alamodi, Kehui Sun(孙克辉), Wei Ai(艾维), Chen Chen(陈晨), Dong Peng(彭冬)

School of Physics and Electronics, Central South University, Changsha 410083, China

Received:2018-11-01 Revised:2018-12-16 Online:2019-02-05 Published:2019-02-05
Contact: Kehui Sun E-mail:kehui@scu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383).

摘要/Abstract

摘要： Based on the high-dimensional (HD) chaotic maps and the sine function, a new methodology of designing new chaotic maps using dimension expansion is proposed. This method accepts N dimensions of any existing HD chaotic map as inputs to generate new dimensions based on the combined results of those inputs. The main principle of the proposed method is to combine the results of the input dimensions, and then performs a sine-transformation on them to generate new dimensions. The characteristics of the generated dimensions are totally different compared to the input dimensions. Thus, both of the generated dimensions and the input dimensions are used to create a new HD chaotic map. An example is illustrated using one of the existing HD chaotic maps. Results show that the generated dimensions have better chaotic performance and higher complexity compared to the input dimensions. Results also show that, in the most cases, the generated dimensions can obtain robust chaos which makes them attractive to usage in a different practical application.

关键词: chaos, sine-transform, dimension expansion, permutation entropy

Abstract: Based on the high-dimensional (HD) chaotic maps and the sine function, a new methodology of designing new chaotic maps using dimension expansion is proposed. This method accepts N dimensions of any existing HD chaotic map as inputs to generate new dimensions based on the combined results of those inputs. The main principle of the proposed method is to combine the results of the input dimensions, and then performs a sine-transformation on them to generate new dimensions. The characteristics of the generated dimensions are totally different compared to the input dimensions. Thus, both of the generated dimensions and the input dimensions are used to create a new HD chaotic map. An example is illustrated using one of the existing HD chaotic maps. Results show that the generated dimensions have better chaotic performance and higher complexity compared to the input dimensions. Results also show that, in the most cases, the generated dimensions can obtain robust chaos which makes them attractive to usage in a different practical application.

Key words: chaos, sine-transform, dimension expansion, permutation entropy

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)

Abdulaziz O A Alamodi, 孙克辉, 艾维, 陈晨, 彭冬. Design new chaotic maps based on dimension expansion[J]. 中国物理B, 2019, 28(2): 20503-020503.

Abdulaziz O A Alamodi, Kehui Sun(孙克辉), Wei Ai(艾维), Chen Chen(陈晨), Dong Peng(彭冬). Design new chaotic maps based on dimension expansion[J]. Chin. Phys. B, 2019, 28(2): 20503-020503.

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Design new chaotic maps based on dimension expansion

Design new chaotic maps based on dimension expansion

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