Sprott系统的恒Lyapunov指数谱混沌锁定及其反同步

Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization

Sprott系统通过单绝对值项的非线性作用实现混沌,引入新的控制参数,可实现对该系统的恒Lyapunov指数谱混沌锁定,锁定以后的混沌信号幅度与相位可以调节.基于Lyapunov势函数法,构建了反同步系统,在响应系统中只引入一个控制项,实现了锁定系统的反同步.

Chaos realization in Sprott system depends on the nonlinear function of single absolute term.Under this condition,the chaos in the system is locked with constant Lyapunov exponent spectrum by introducing new control parameters.So the amplitude and the phase of the signal output in the system can be controlled and modulated.Anti-synchronization system is constructed,and anti-synchronization is obtained by introducing only one control term in the response system based on Lyapunov potential function method.