Four Examples of Phase Synchronization in Oscillator Networks∗

Abstract This paper presents four kinds of phase synchronization in oscillator networks by con-structing the matrix of coupling strength. Numerical simulations are implemented to verify the results. Considerable attention has been devoted to the different synchronization phe-nomena [1] in biology. Such as complete synchronization, cluster synchronization, anti-synchronization, and so on[2, 3, 4, 5, 6]. During recent twenty years, phase syn-chronization has attracted much interest. Many dynamical behaviors in biologica