Stochastic model and synchronization analysis for large-scale oscillator networks and their applications

Networks of coupled large-scale oscillators have been studied in biology for a number of years. It has been recognized that transients in the nearest neighbour connected networks may take far too long to die out. It is considered that a few long-distance interconnections exist. Typically, these long-distance interconnections are considered to occur in a random way. In this paper, the synchronization problem for coupled oscillator networks is discussed. Then, the stochastic distribution model for the random long-distance connections is proposed and the validity is demonstrated by simulation. Furthermore, the proposed oscillator network is applied to the visual model of a dragonfly.