Collective behavior and stochastic resonance in a linear underdamped coupled system with multiplicative dichotomous noise and periodical driving

In this paper the collective behavior and stochastic resonance (SR) phenomenon in a linear underdamped coupled system with multiplicative dichotomous noise and periodical driving is investigated. Firstly, the stationary solution of the mean field and the stability conditions of the system are obtained by introducing the mean field of the system. Secondly, the collective behaviors of the particles are discussed through studying their synchronization behavior. Finally, the range of parameters for which the SR phenomenon occurs in the system is given, based on the stability conditions. The synchronous behaviors of particles and SR phenomenon, as well as the concrete influence of coupling on the system are analyzed by numerical simulations.