一类混沌系统的同步、反同步及其相关问题研究

摘要

This paper investigates the synchronization,anti-synchronization and its related problems for a class of chaotic system. Firstly,a necessary and sufficient condition is proposed to synchronize and anti-synchronize simultaneously in the chaotic systems. Then, a sufficient condition is obtained for the coexistence of synchronization and anti-synchronization in the chaotic systems. Compared with the previous results,the obtained results are not only simple, but also realized easily in practice. Finally, numerical examples with simulation verify the correctness and effectiveness of the obtained results.%本文研究了一类混沌系统的同步，反同步及其相关问题。首先，给出了混沌系统同时同步和反同步的一个充要条件。然后，给出了混沌系统同步和反同步同时存在的一个充分条件。与以前的结果相比，所得到的结果不仅简洁，而且在实际中更容易实现。最后，数值仿真的结果验证了上述结果的正确性和有效性。