中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120504-120504.doi: 10.1088/1674-1056/abfbd4

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Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system

Chenguang Ma(马晨光)1, Santo Banerjee3, Li Xiong(熊丽)1,2, Tianming Liu(刘天明)1, Xintong Han(韩昕彤)1, and Jun Mou(牟俊)1,2,†   

  1. 1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
    2 School of Physics and Electromechanical Engineering, Hexi University, Zhangye 734000, China;
    3 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
  • 收稿日期:2021-02-10 修回日期:2021-04-07 接受日期:2021-04-27 出版日期:2021-11-15 发布日期:2021-11-15
  • 通讯作者: Jun Mou E-mail:moujun@csu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 62061014) and the Natural Science Foundation of Liaoning Province, China (Grant No. 2020-MS-274).

Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system

Chenguang Ma(马晨光)1, Santo Banerjee3, Li Xiong(熊丽)1,2, Tianming Liu(刘天明)1, Xintong Han(韩昕彤)1, and Jun Mou(牟俊)1,2,†   

  1. 1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
    2 School of Physics and Electromechanical Engineering, Hexi University, Zhangye 734000, China;
    3 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
  • Received:2021-02-10 Revised:2021-04-07 Accepted:2021-04-27 Online:2021-11-15 Published:2021-11-15
  • Contact: Jun Mou E-mail:moujun@csu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 62061014) and the Natural Science Foundation of Liaoning Province, China (Grant No. 2020-MS-274).

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摘要： A new five-dimensional fractional-order laser chaotic system (FOLCS) is constructed by incorporating complex variables and fractional calculus into a Lorentz-Haken-type laser system. Dynamical behavior of the system, circuit realization and application in pseudorandom number generators are studied. Many types of multi-stable states are discovered in the system. Interestingly, there are two types of state transition phenomena in the system, one is the chaotic state degenerates to a periodical state, and the other is the intermittent chaotic oscillation. In addition, the complexity of the system when two parameters change simultaneously is measured by the spectral entropy algorithm. Moreover, a digital circuit is design and the chaotic oscillation behaviors of the system are verified on this circuit. Finally, a pseudo-random sequence generator is designed using the FOLCS, and the statistical characteristics of the generated pseudo-random sequence are tested with the NIST-800-22. This study enriches the research on the dynamics and applications of FOLCS.

关键词: fractional-order laser chaotic system, SE complexity, intermittent chaos, NIST test, circuit realization

Abstract: A new five-dimensional fractional-order laser chaotic system (FOLCS) is constructed by incorporating complex variables and fractional calculus into a Lorentz-Haken-type laser system. Dynamical behavior of the system, circuit realization and application in pseudorandom number generators are studied. Many types of multi-stable states are discovered in the system. Interestingly, there are two types of state transition phenomena in the system, one is the chaotic state degenerates to a periodical state, and the other is the intermittent chaotic oscillation. In addition, the complexity of the system when two parameters change simultaneously is measured by the spectral entropy algorithm. Moreover, a digital circuit is design and the chaotic oscillation behaviors of the system are verified on this circuit. Finally, a pseudo-random sequence generator is designed using the FOLCS, and the statistical characteristics of the generated pseudo-random sequence are tested with the NIST-800-22. This study enriches the research on the dynamics and applications of FOLCS.

Key words: fractional-order laser chaotic system, SE complexity, intermittent chaos, NIST test, circuit realization

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Pq (Numerical simulations of chaotic systems) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Jn (High-dimensional chaos)