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Abstract
This paper is concerned with the existence of periodic solutions for feedback control coupled systems on networks (FCCSNs) by a novel approach, which is made up of the continuation theorem of coincidence degree theory, graph theory, Lyapunov method, and some novel analysis skills. As an application of our approach, the existence and global asymptotic stability of periodic solutions for feedback control coupled oscillators on networks are investigated. Finally, numerical simulations are given to illustrate the effectiveness and feasibility of our results.
Acknowledgements
The authors really appreciate the referee's valuable comments.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work was supported by the Fundamental Research Funds for the Central Universities (No. 2572019BC11), Natural Science Foundation of Shandong Province (Nos. ZR2017MA008, ZR2018MA023 and ZR2019BA022), the Project of Shandong Province Higher Educational Science and Technology Program of China (No. J18KA218), Shandong Province Innovation Training Project for College Students (No. S201910429099), the National Natural Science Foundation of China (No. 11901329). Youth Program of the National Natural Science Foundation of China