Dynamical analysis, circuit realization, and application in pseudorandom number generators of a fractional-order laser chaotic system*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). (December 2021)

• Record Type: Journal Article
• Authors: Ma 马, Chenguang 晨光; Banerjee, Santo; Xiong 熊, Li 丽; Liu 刘, Tianming 天明; Han 韩, Xintong 昕彤; Mou 牟, Jun 俊
• Is Part Of: Chinese physics B. Volume 30:Number 12(2021)
• Publication Date: 2021-12
• Subjects: fractional-order laser chaotic system -- SE complexity -- intermittent chaos -- NIST test -- circuit realization; 05.45.-a -- 05.45.Pq -- 05.45.Gg -- 05.45.Jn; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1674-1056/abfbd4
• Languages: English
• ISSNs: 1674-1056

Abstract

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.