太赫兹科学与电子信息学报, 2017, 15 (4): 676, 网络出版: 2017-12-08
新型多翼统一混沌系统
New type of the multi-wing unified chaotic system
四维混沌系统 双翼混沌吸引子 真实四翼混沌吸引子 新型多翼混沌吸引子 four-dimensional chaotic system double-winged chaotic attractor real four-winged chaotic attractor new type of the multi-wing chaotic attractor
摘要
通过引入多个线性状态反馈控制项和非线性状态反馈控制项, 提出了一个新型多翼统一混沌系统。在不同的系统参数下均能产生关于原点对称的真实四翼混沌吸引子, 还能产生蝴蝶吸引子、蝙蝠形吸引子和新型多翼混沌吸引子。采用常规的动力学分析方法研究了产生新型多翼混沌吸引子系统的基本动力学特性, 例如相图、耗散性分析、李雅普诺夫指数谱和分岔图。结果表明系统可以产生丰富的混沌行为, 该新型多翼混沌吸引子可以随参数的变化实现关于x轴对称的双翼混沌吸引子和关于原点对称的真实四翼混沌吸引子。
Abstract
A new type of the multi-wing unified chaotic system is proposed by introducing more nonlinear state feedback controllers and linear state feedback controllers. The real four-winged chaotic attractors which are symmetric about the origin with different system parameters can be achieved including the butterfly shaped chaotic attractor, bat-shaped chaotic attractors and the new types of the multi-wing chaotic attractors by changing the system parameters. The dynamic properties of the circuit are demonstrated by means of phase diagrams, dissipative analysis, Lyapunov exponent spectra and bifurcation diagrams. Numerical simulation results show that the system produces a new type of the multi-wing chaotic attractors and exhibits complicated chaotic behaviors with the evolution of the system parameters. The double-wing chaotic attractors which are symmetric about the x axis and the real four-winged chaotic attractors which are symmetric about the origin can be achieved.
李鑫, 曾以成, 王维, 孙睿婷. 新型多翼统一混沌系统[J]. 太赫兹科学与电子信息学报, 2017, 15(4): 676. LI Xin, ZENG Yicheng, WANG Wei, SUN Ruiting. New type of the multi-wing unified chaotic system[J]. Journal of terahertz science and electronic information technology, 2017, 15(4): 676.