四翼超混沌系统的动力学特性分析及其电路实现
Dynamics of a four-wing hyperchaotic system and its circuit implementation
孙克辉 1刘璇 2朱从旭2
作者信息
- 1. 中南大学物理与电子学院,湖南长沙410083;新疆大学物理科学与技术学院,新疆乌鲁木齐830046
- 2. 中南大学物理与电子学院,湖南长沙410083
- 折叠
摘要
为了提高混沌系统的复杂性,本文基于最新提出的简化Lorenz系统,采用正弦函数扰动方法和非奇异变换,设计了一个具有四翼吸引子结构的超混沌系统.通过计算Lyapunov指数、分岔图、相图和Poincaré截面等方法分析了该系统的动力学特性,分析表明该系统具有丰富的动力学行为.采用分立元件,设计了该系统的模拟电路,电路实验结果与数值仿真结果相吻合,为构建具有高性能的混沌保密通信系统奠定了基础.
Abstract
To improve the complexity of a chaotic system,a sinusoidal forcing function and a nonsingular transformation are applied to generate hyperchaotic system with four wings structure based on the simplified Lorenz system in this paper.Dynamics of the hyperchaotic and four-wing attractor system are analyzed and verified by means of Lyapunov exponent spectrums,bifurcation diagrams,phase portraits and Poincaré sections.Results of numerical analysis and simulations show the four-wing hyperchaotic system has complex dynamical behaviors.An electronic circuit of the four-wing hyperchaotic system is designed and experimented with discrete components.Circuit experiment results are agreed well with the simulation results,and it lays a good foundation for designing chaotic secure communication with high performances.
关键词
超混沌/多翼吸引子/正弦驱动函数/非奇异变换/电路实现Key words
Hyperchaos/multi-wing attractor/sinusoidal forcing function/nonsingular transformation/circuit implementation引用本文复制引用
基金项目
国家自然科学基金(61161006)
国家自然科学基金(61073187)
教育部留学归国人员启动基金()
出版年
2013
NETL
NSTL
维普
万方数据