Brownian Behavior in Coupled Chaotic Oscillators

Since the dynamical behavior of chaotic and stochastic systems is very similar, it sometimes difficult to determine nature movement. One best-studied processes Brownian motion, a random walk that accurately describes many phenomena occur in nature, including quantum mechanics. In this paper, we propose an approach allows us analyze dynamics using Langevin equation describing phase difference between identical coupled oscillators. The time evolution can be explained by biased which accepted mechanics for modeling thermal phenomena. Using deterministic model based on Rössler oscillators, are able reproduce similar difference. We show how phenomenon intermittent synchronization terms both models. addition, existence multistability regime demonstrated.