Synchronization in Oscillator Networks with Nonlinear Coupling

摘要

Synchronization in coupled oscillator networks has attracted much attention from many fields of scienceand engineering.In this paper,it is firstly proved that the oscillator network with nonlinear coupling is also eventuallydissipative under the hypothesis of eventual dissipation of the uncoupled oscillators.And the dynamics of the network isanalyzed in its absorbing domain by combining two methods developed recently.Sufficient conditions for synchronizationin the oscillator networks with nonlinear coupling are obtained.The two methods are combined effectively and the resultsembody the respective merits of the two methods.Numerical simulations confirm the validity of the results.