Frustration tuning and perfect phase synchronization in the Kuramoto-Sakaguchi model.

Asymptotic synchronous behavior of Kuramoto type models with frustrations

We present a quantitative asymptotic behavior of coupled Kuramoto oscillators with frustrations and give some sufficient conditions for the parameters and initial condition leading to phase or frequency synchronization. We consider three ensembles of Kuramoto oscillators with frustration. First, we study a general case with nonidentical oscillators; i.e., the natural frequencies are distributed...

Nonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.

We investigate the transition to synchrony in a system of phase oscillators that are globally coupled with a phase lag (Sakaguchi-Kuramoto model). We show that for certain unimodal frequency distributions there appear unusual types of synchronization transitions, where synchrony can decay with increasing coupling, incoherence can regain stability for increasing coupling, or multistability betwe...

Exact solutions and dynamics of globally coupled phase oscillators

Exact solutions and dynamics of globally coupled phase oscillators 2 Abstract. We analyze mean-field models of synchronization of phase oscillators with singular couplings and subject to external random forces. They are related to the Kuramoto-Sakaguchi model. Their probability densities satisfy local partial differential equations similar to the Porous Medium, Burgers and extended Burgers equa...

Phase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method

Noise-induced synchronization for phase turbulence

Phase turbulence is suppressed by applying common noise additively to the Kuramoto-Sivashinsky type equation, and the noise-induced phase synchronization is realized. The noise strength necessary for the suppression of phase turbulence is evaluated theoretically. PACS: 05.45.+b, 05.40.+j, 02.50-r Recently, various noise effects to nonlinear systems have been studied. The response of a bistable ...