激活控制不同维混沌系统的修正函数投影同步

Active control modified function projection synchronization of different dimensional chaotic systems

利用激活控制研究了不同维混沌系统的修正函数投影同步问题.首先根据错位与非错位两种同步策略,将不同维混沌系统中维数较高的系统进行降价;然后利用激活控制原理,设计两种同步控制器,分别实现一个新四维超混沌系统和三维Lü系统的错位与非错位修正函数投影同步;最后对错位与非错位修正函数投影同步进行数值仿真,仿真结果表明在激活控制原理下设计的控制器不仅有效,而且驱动系统和受控的响应系统同步到更加复杂的混沌吸引子.

Modified function projection synchronization of different dimensional chaotic systems is studied by using active control in this paper.First of all,according to two synchronization strategies about the no dislocation and dislocation,the higher dimension chaotic system are reduced order in different dimension systems;and then using the active control principle,two synchronization controllers are designed to realize no dislocation and dislocation modified function projective synchronization for a new 4 dimension hyperchaotic system and 3 dimension Lüsystem respectively;finally,the numerical simulations are done for no dislocation and dislocation modified function projective synchronization,the simulation results show that the designed controller under the active control principle is effective,and drive system and the controlled response system are synchronous to the more complex chaotic attractor.