摘要：In the paper, we are concerned with the existence of periodic solutions for a coupled Rayleigh system. By combining graph theory with coincidence degree theory as well as Lyapunov function method, two new sufficient conditions on the existence of periodic solutions for the coupled Rayleigh system are established. Our results on the existence of periodic solutions for the coupled Rayleigh system improve those obtained in the existing literature for coupled Rayleigh system. Hence, our results are new and complementary to the existing papers. First part title: Introduction Second part title: Preliminaries Third part title: The existence of periodic solutions Fourth part title: Numerical test Five part title: Conclusion.
关键词：Periodic solutions;Coupled Rayleigh system;Graph theory;Continuation theorem of coincidence degree theory;Lyapunov function method
