摘要
构建了一类可切换的四维混沌系统,通过选择器实现这类系统间的随机切换.简要地分析了四维混沌系统平衡点的性质、混沌吸引子的相图和Lyapunov指数等特性,并设计了实现四维混沌系统切换的实际电路.利用非线性反馈控制方法实现了这类系统与其中某个系统之间的切换混沌同步.根据系统稳定性理论,得到了非线性反馈控制器的结构和系统达到混沌同步时反馈控制增益的取值范围.
A class of switchable four-dimensional chaotic systems is built by adding an additional state to the or Liu system. Some of its basic dynamical properties are studied briefly, such as the feature of equilib three-order Lorenz system rium, the chaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the class of switchable four-dimensional chaos systems. A method of chaos switch-synchronization between several chaotic systems based on nonlinear feedback control is proposed. Based on the stability theory, the functions of the nonlinear feedback control for synchronization of these systems are determined and the range of available feedback gain is derived.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第2期707-712,共6页
Acta Physica Sinica
基金
国家自然科学基金(批准号:90405011)
江苏省高校自然科学研究基金(批准号:05KJD120083)
南京工程学院自然科学研究基金(批准号:KXJ06047)资助的课题~~
关键词
非线性反馈
混沌同步
四维混沌系统
nonlinear feedback control, chaos switch-synchronization, the 4-D chaotic system