摘要
改进恒Lyapunov指数谱混沌系统的特殊的分段线性结构及其全局线性调幅参数与倒相参数的存在性,赋予了其同步体系新的可实现性与可调节性.依据广义同步的原理,构造合适的驱动系统与响应系统,可以实现恒Lyapunov指数谱混沌系统的广义同步;改变响应系统的参数,可实现完全同步与广义投影同步;改进恒Lyapunov指数谱混沌系统的全局线性调幅参数能对驱动与响应系统的状态变量幅值实施同步升降控制,倒相参数能对某一特定状态变量实施同步倒相控制.这种同步体系无需专门的控制器,结构简单,易于实现.文章最后设计了同步体系的实现电路,实验仿真结果证明了混沌同步方法的可行性,也验证了恒指数谱混沌系统特殊参数对同步体系状态变量幅值与相位的调控作用.
The existence of special piecewise-linear structure, global linear amplitude adjuster and phase-reverse controller in improved chaotic system with constant Lyapunov exponent spectrum contributed much to finding new synchronization methods and new adjusting parameters. According to the principle of generalized synchronization, by constructing appropriate driving system and response system, generalized synchronization of the improved chaotic system with constant Lyapunov exponent spectrum then can be achieved. By changing the parameter of response system, the complete synchronization and generalized projective synchronization can be further realized. The amplitude of the state variable of the driving system and the response system can be controlled to increase and decrease synchronously by the global linear amplitude adjuster, while the phase of certain variables can be controlled to reverse synchronously by the phase-reverser. This synchronization system dispenses with other special controllers, possesses simple structure and so can be implemented easily. Finally, the implement circuit of synchronization system is designed. It is validated by experiment simulation that the synchronization methods are feasible, the amplitude and the phase of the state variable in the synchronization system can be controlled by special parameters of the improved chaotic system.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2010年第2期801-815,共15页
Acta Physica Sinica
基金
江苏省"青蓝工程"(批准号:苏教师[2008]30号)
航空基金(批准号:2009ZC52038)资助的课题~~
关键词
改进恒Lyapunov指数谱混沌系统
同步
幅值控制
倒相控制
improved chaotic system with constant Lyapunov exponent spectrum synchronization amplitude control phase-reverse control
作者简介
E—mail：goontry@126．com
