一类分数阶混沌系统的投影对偶同步

摘要

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 proj ective-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 driv-ing signal to drive the corresponding decoupled systems,a class of fractional-order chaotic systems with proj ective-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.Final-ly,numerical simulations are given to illustrate and verify the theoretical prediction.