一类分数阶混沌系统的投影对偶同步

Projective-dual synchronization of a class of fractional-order chaotic systems

为研究分数阶混沌系统的投影对偶同步问题,将无耦合分数阶混沌系统的标量输出信号进行线性组合,并作为驱动信号驱动相应的无耦合响应系统,构建了一类分数阶投影对偶同步混沌系统.并基于拉普拉斯变换理论,给出系统投影对偶同步的条件.最后通过数值仿真验证所得结论.

To study the projective-dual synchronization of fractional-order chaotic systems a scalar transmitted control signal of a class of fractional-order chaotic systems are linearly combined.As a driving signal to drive the corresponding decoupled systems,a class of fractional-order chaotic systems with projective-dual synchronication are structed.The approach is theoretically investigated by virtue of the Laplace transform method,and the suitable conditions for achieving synchronization are given.Finally,numerical simulations are given to illustrate and verify the theoretical prediction.