摘要
针对Rucklidge系统,修改其第二分量从而得到一个新的混沌系统。根据参数a,b,c的不同取值,用Matlab画出混沌吸引子,并分析了系统平衡点的稳定性。接着采用自适应的方法设计同步系统,在参数已知和未知的情况下采用不同的控制律,实现了混沌系统的同步。采用李雅普诺夫函数的方法在理论上证明了同步方法的有效性,进一步在Matlab上进行仿真,仿真结果表明这种同步方法也是快速有效的。
A new chaos system is obtained by changing the second variable of the Rucklidge system.For the value of a,b,c,draw the chaos attractor of the system through Matlab,then analyse the stability of the system.Follow design synchronization system through adaptive method.With the known and unknown value of the variable achieve the synchronization of the system via differ controller. Prove the validity of the method via Lyapunov in theory.Matlab simulation results indicates that the method is speediness and efficiency.
出处
《复杂系统与复杂性科学》
EI
CSCD
2005年第3期72-78,共7页
Complex Systems and Complexity Science
关键词
混沌
自适应
同步
chaos
adaptive
synchronization