Dynamical analysis,circuit realization,and application in pseudorandom number generators of a fractional-order laser chaotic system |
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Affiliation: | 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 |
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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. |
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Keywords: | fractional-order laser chaotic system SE complexity intermittent chaos NIST test circuit realization |
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