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Chin. Phys. B, 2021, Vol. 30(12): 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 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
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.
Keywords:  fractional-order laser chaotic system      SE complexity      intermittent chaos      NIST test      circuit realization  
Received:  10 February 2021      Revised:  07 April 2021      Accepted manuscript online:  27 April 2021
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Jn (High-dimensional chaos)  
Fund: 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).
Corresponding Authors:  Jun Mou     E-mail:  moujun@csu.edu.cn

Cite this article: 

Chenguang Ma(马晨光), Santo Banerjee, Li Xiong(熊丽), Tianming Liu(刘天明), Xintong Han(韩昕彤), and Jun Mou(牟俊) Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system 2021 Chin. Phys. B 30 120504

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[1] A new chaotic system and its circuit realization
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