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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:

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

[1] Zhang L M, Sun L J, Liu W J and He S B 2017 Chin. Phys. B 26 100504
[2] Chai X L, Wu H Y, Gan Z H, Han D J and Chen C R 2020 Inf. Sci. 556 305
[3] Hua Z Y, Zhu Z H, Yi S, Zhang Z and Huang H J 2020 Inf. Sci. 546 1063
[4] Lan R S, He J W, Wang S H, Gu T L and Luo X N 2018 Signal Processing147 133
[5] Wang M X, Wang X Y, Wang C P, Xia Z Q, Zhao H Y, Gao S, Zhou S and Yao N M 2020 Chaos Soliton Fract. 139 110028
[6] Yang F F, Mou J, Liu J, Ma C G and Yan H Z 2020 Signal Processing 169 107373
[7] Xu C, Sun J R and Wang C H 2020 Int. J. Bifurcat. Chaos 30 2050060
[8] Peng Y X, Sun K H and He S B 2020 Chin. Phys. B 29 30502
[9] Liu J, Tong X J, Liu Y, Zhang M and Ma J 2018 Nonlin. Dyn. 93 1149
[10] Li H Z, Hua Z Y, Bao H, Zhu L, Chen M and Bao B C 2020 IEEE Trans. Industrial Electron. 68 9931
[11] Yang F F, Mou J, Ma C G and Cao Y H 2020 Opt. Laser Eng. 129 106031
[12] Xu Q Y, Sun K H, Cao C and Zhu C X 2020 Opt. Laser Eng. 121 203
[13] Han M, Li W J, Feng S B, Qiu T, Chen C L P 2020 IEEE Trans. Neual Networks Learning Sys. 32 2320
[14] Zhang A and Zheng X 2020 Cognitive Neurodynamics 14 849
[15] Zheng J and Hu H P 2020 Chin. Phys. B 29 090502
[16] Abdulaziz, O, A, Alamodi, Sun K H, Chen C and Peng C 2019 Chin. Phys. B 29 20503
[17] Singh J P, Pham V T, Hayat T, Jafari S, Alsaadi F E and Roy B K 2018 Chin. Phys. B 27 100501
[18] Wang G Y, Jin P P, Wang X W, Shen Y R, Yuan F and Wang X Y 2016 Chin. Phys. B 25 090502
[19] Hu X Y, Liu C X and Liu L 2017 Chin. Phys. B 26 110502
[20] Cheng M F, Luo C K, Jiang X X, Deng L, Zhang M M, Ke C J, Fu S N, Tang M, Shum P and Liu D M 2018 J. Lightwave Technol. 39 18072943
[21] Wang L S, Mao X X, Wang A B, Wang Y C, Gao Z S, Li S S, Yan L S 2020 Opt. Lett. 45 4762
[22] Yang Z, Yi L L, Ke J X, Zhu G Q B, Yang Y P and Hu W S 2020 J. Lightwave Technol. 38 4648
[23] Yan S L 2018 Appl. Mech. Mater. 876 147
[24] Li N Q, Nguimdo R M, Locquet A and Citrin D S 2018 Nonlin. Dyn. 92 315
[25] Jiang X, Xiao Y, Xie Y Y, Liu B C, Ye Y C, Song T T, Chai J X and Liu Y 2021 Opt. Commun. 484 126683
[26] Shahzadi R, Anwar S M, Qamar F, Ali M, J. J. P. C. Rodrigues and Alnowami M 2019 IEEE Access 7 57769
[27] Wang D M, Wang L S, Guo Y Y, Wang Y C and Wang A B 2019 Opt. Express 27 3065
[28] Santo B, Papri S and Chowdhury A R 2001 Phys. Lett. A 291 103
[29] Al-Kouz W, Al-Muhtady A, Owhaib W, Al-Dahidi S, Hader M and Abu-Alghanam R 2019 Entropy 21 103
[30] Ran C, Tang X, Wu Z M and Xia G Q 2018 Laser Phys. 28 126202
[31] Kar R 2018 CSI Trans. ICT 7 175
[32] He S, Sun K H, Wang R X. 2018 Eur. Phys. J. Spec. Top. 227 943
[33] Khajehnasiri A A, Afshar Kermani M and Ezzati R 2020 Int. J. Math. Operat. Res. 17 1
[34] Pu Y F, Zhang N and Wang H 2020 IEEE Intellig. Sys. 35 19610601
[35] Pu Y F, Yu B and Yuan X 2020 IEEE Design & Test 38 104
[36] He S B 2020 Front. Appl. Math. Statis. 6
[37] Abdeljawad T 2015 J. Comput. Appl. Math. 297 57
[38] Zhou H W, Yang S and Zhang S Q 2015 Physica A 491 1001
[39] Silva-Juáreza A, Tlelo-Cuautlea E, la Fragab L G and Li R 2020 J. Adv. Res. 25 77
[40] He S B, Sun K H and Wu X M 2020 Phys. Scr. 95 035220
[41] Peng Y X, Sun K H, He S B 2020 Eur. Phys. J. Plus 135 331
[42] He S B, Santo B and Sun K H 2019 Eur. Phys. J. Spec. Top. 228 331
[43] Ye G D, Jiao K X, Wu H S, Pan C and Huang X L 2020 Int. J. Bifurcat. Chaos 30 2050233
[44] Zhou C Y, Li Z J, Zeng Y C and Zhang S 2020 Int. J. Bifurcat. Chaos 29 1950004
[45] Ding D W, Shan X Y, Jun L, Hu Y B, Yang Z L and Ding L H 2020 Mod. Phys. Lett. B 34 2050191
[46] He S B, Sun K H, Wang H H, Mei X Y and Sun Y F 2017 Nonlin. Dyn. 92 85
[47] Yu Y J, Shi M, Kang H Y, Chen M and Bao B C 2020 Nonlin. Dyn. 100 891
[48] Wang M J, Liao X H, Deng Y, Li Z J, Zeng Y C and Ma M L 2019 J. Comput. Nonlin. Dyn. 14 071002
[49] He S B, Santo B and Sun K H 2018 Chaos Soliton Fract. 115 14
[50] Ma C G, Mou J, Liu J, Yang F F and Zhao X 2020 Eur. Phys. J. Plus 135 95
[51] Wang M J, Liao X H, Deng Y, Li Z J and Zeng Y C 2020 Chaos Soliton Fract. 130 109406
[1] A new chaotic system and its circuit realization
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