摘要
引入新的四维连续超混沌系统,分析了它的基本动力学性质,构造电路,成功实现超混沌系统,并给出仿真结果。另外,根据Lyapunov稳定性理论采用自适应方法,给出控制规律和未知参数的变化规律,在系统参数未知的情况下实现系统的反同步。最后,采用数值方法验证了控制规律和参数变化规律的正确性。
A new four-dimensional continuous autonomous hyperchaotic system is constructed in this paper. Its basic dynamical behaviors are analyzed. A circuit diagram is designed and completed for verifying the hyperchaotic behaviors. Results of simulation are given. Moreover, an adaptive control method and a parameter update rule of unknown parameters based on Lyapunov stability theory are introduced to achieve anti-synchronization of two systems. Finally, the results are verified by the numerical simulations.
出处
《噪声与振动控制》
CSCD
北大核心
2009年第1期14-20,共7页
Noise and Vibration Control
作者简介
周晟(1984-),男,浙江宁波人,湖南大学力学与航空航天学院硕士,研究方向为非线性动力学与控制。E-mail:zhousheng1984@163.com