A 4-D multi-stable hyper-chaotic system with multi-wing attractors
XIAN Yongju1, FU Kunrong1, XU Changbiao1,2
1.School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065,
China;
2.School of Optoelectronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract：Here, a 4-D hyper-chaotic system with only one equilibrium point was constructed to reveal rich multi-stable characteristics with multi-wing attractors. The system’s dynamic characteristics were numerically analyzed, and the system’s analog circuit and digital circuit were simulated to explore the dynamic complexity of the system, and test the randomness of the system’s hyper-chaotic sequences. The analysis results showed that under multi-set of system parameters, there are coexistences of different types attractors in the system, such as, coexistence of two periodic attractors, coexistence of a periodic one and a quasi-periodic one, coexistence of a dual-wing chaotic one and a hyper-chaotic one, coexistence of two dual-wing chaotic ones, coexistence of a dual-wing chaotic one and a four-wing chaotic one, coexistence of two dual-wing hyper-chaotic ones, coexistence of two dual-wing quasi-periodic ones, coexistence of four attractors including two dual-wing hyper-chaotic ones, a four-wing chaotic one and a four-wing hyper-chaotic one; the simulation results of the system’s digital circuit and analog circuit are consistent to numerical analysis ones to reveal the system’s realizability; the system has high complexity in chaotic state and hyper-chaotic one, and its hyper-chaotic sequences pass 15 random tests specified in SP800-22 Revla.
鲜永菊1，扶坤荣1，徐昌彪1,2. 一个具有多翼吸引子的四维多稳态超混沌系统[J]. 振动与冲击, 2021, 40(1): 15-22.
XIAN Yongju1, FU Kunrong1, XU Changbiao1,2. A 4-D multi-stable hyper-chaotic system with multi-wing attractors. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(1): 15-22.
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