Publication Date:
2015-11-20
Description:
This paper focuses on the existence of periodic solutions for coupled systems on networks with time-delay and linear coupling (CSNDLC). Based on graph theory, coincidence degree theory and the Lyapunov method, a systematic approach for the existence of periodic solutions to CSNDLC is developed. And this approach is applied to the linear coupled oscillators with time-delay on a network. In addition, global asymptotic stability criterion for its periodic solution is obtained. Finally, a numerical example is provided to illustrate the effectiveness of the results developed.
Print ISSN:
0272-4960
Electronic ISSN:
1464-3634
Topics:
Mathematics
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