Abstract
This paper is concerned with periodic solutions of coupled oscillators. A systematic method of existence and stability of periodic solutions for coupled oscillators is provided in a combined method of graph theory, coincidence degree theory and Lyapunov method. Sufficient conditions for periodicity are obtained, which can be easily checked in the real applications. Finally, a numerical example is also provided to illustrate the correctness of theoretical results.
Acknowledgments
The authors really appreciate the anonymous reviewers for their valuable comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the author(s).