Generating multi-layer nested chaotic attractor and its FPGA implementation
Xuenan Peng(彭雪楠)1, Yicheng Zeng(曾以成)1,†, Mengjiao Wang(王梦蛟)2, and Zhijun Li(李志军)2
1 School of Physics and Optoelectronic Engineering, Xiangtan University, Xiangtan 411105, China; 2 School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
Abstract Complex chaotic sequences are widely employed in real world, so obtaining more complex sequences have received highly interest. For enhancing the complexity of chaotic sequences, a common approach is increasing the scroll-number of attractors. In this paper, a novel method to control system for generating multi-layer nested chaotic attractors is proposed. At first, a piecewise (PW) function, namely quadratic staircase function, is designed. Unlike pulse signals, each level-logic of this function is square constant, and it is easy to realize. Then, by introducing the PW functions to a modified Chua's system with cubic nonlinear terms, the system can generate multi-layer nested Chua's attractors. The dynamical properties of the system are numerically investigated. Finally, the hardware implementation of the chaotic system is used FPGA chip. Experimental results show that theoretical analysis and numerical simulation are right. This chaotic oscillator consuming low power and utilization less resources is suitable for real applications.
Xuenan Peng(彭雪楠), Yicheng Zeng(曾以成), Mengjiao Wang(王梦蛟), and Zhijun Li(李志军) Generating multi-layer nested chaotic attractor and its FPGA implementation 2021 Chin. Phys. B 30 060509
[1] Ren H P, Bai C, Tian K and Gerbogi C 2017 Int. J. Nonlinear Mech.94 334 [2] Yu F, Li L X, He B Y, Liu L, et al. 2019 IEEE Access7 181884 [3] Wang Z, Volos C K, Kingni S T, Azar A T et al. 2017 Optik131 1071 [4] Xiong L, Zhang S, Zeng Y C and Liu B C 2018 Chin. J. Phys.56 2381 [5] Deng Q L, Wang C H and Yang L M 2020 Int. J. Bifur. Chaos30 2050086 [6] Yu F, Gao L, Gu K, et al. 2017 Optik131 79 [7] Rajagopal K, Akgul A, Pham V T, et al. 2019 Int. J. Bifur. Chaos29 1950174 [8] Messias M and Reinol A C 2017 Nonlinear Dyn.88 807 [9] Zhang S, Wang X P Zeng Z G 2020 Chaos30 053129 [10] Natiq H, Said M R M, Ariffin M R K, et al. 2018 Eur. Phys. J. Plus133 557 [11] Pham V T, Kingni S T, Volos C K, et al. 2017 AEU-Int. J. Electron. Commun.78 220 [12] Zhang S, Zeng Y C and Li Z J 2018 Chin. J. Phys.56 793 [13] Munozpacheco J M, Zambranoserrano E, Volos C K, et al. 2018 Chaos Solitons Fract.113 69 [14] Lü J H and Chen G R 2006 Int. J. Bifur. Chaos16 775 [15] Wang C H, Hu X and Ling Z 2017 Pramana88 34 [16] Wang C H, Hu X and Ling Z 2017 Int. J. Bifur. Chaos27 1750091 [17] Zhang S, Zheng J H, Wang X P, et al. 2020 Nonlinear Dyn.102 2821 [18] Chen Z, Wen G L, Zhou H A and Chen J Y 2017 Optik130 594 [19] Li C B, Lu T A, Chen G R and Xing H Y 2019 Chaos29 051102 [20] Wang N, Li C Q, Bao H, et al. 2019 IEEE Trans. Circuits Sys. I66 4767 [21] Elwakil A S and Ozoguz S 2006 IEEE Trans. Circuits Sys. II53 862 [22] Hong Q H, Xie Q G, Shen Y and Wang X P 2016 Chaos26 083110 [23] Wu Q J, Hong Q H, Liu X Y, et al. 2019 Chaos29 043112 [24] Xie Q and Zeng Y C 2020 Eur. Phys. J. Spec. Top.229 1361 [25] Bao H, Hua Z Y, Wang N et al. 2021 IEEE Trans. Ind. Informat.17 1132 [26] Hua Z Y, Zhou Y C and Bao B C 2020 IEEE Trans. Ind. Informat.16 887 [27] Li H Z, Hua Z Y, Bao H et al. 2020 IEEE Trans. Ind. Electron. [28] Tlelocuautle E, Rangelmagdaleno J D J, Panoazucena A D, et al. 2015 Commun. Nonlinear Sci. Numer. Simulat.27 66 [29] Rajagopal K, Munozpacheco J M, Pham V T, et al. 2018 Eur. Phys. J. Spec. Top.227 811 [30] Soloman N S, Tilba M F, Said L A, et al. 2018 Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), May 27-30, 2018, Florence, Italy, p. 5 [31] Dong E Z, Li R H and Du S Z 2020 Chin. Phys. B [32] Wang F Q, Wang R M, Iu H H C, et al. 2019 IEEE Trans. Circuits Sys. II66 2062
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
