Synchronization of Chaotic Oscillators Using Natural Environmental Noises

Abstract

In our research, we propose a novel synchronization scheme based on noise-induced synchronization. We introduce natural environmental noise as an additive input noise to uncoupled nonlinear oscillators. The natural environmental noises in neighboring areas are cross-correlated, and we have already shown that limit-cycle oscillators can be synchronized by such cross-correlated noise. In this paper, we investigate the feasibility of the proposed natural synchronization scheme for the Rössler system, one of the chaotic oscillators. We first evaluate the synchronization performance by adding cross-correlated Gaussian noise, and we show the possibility of synchronizing the chaotic oscillators using the crosscorrelated noise. We also introduce a real environmental noise, environmental sound data obtained at neighboring microphone devices, and we show that Rössler oscillators can be synchronized by such cross-correlated environmental noise. Our proposed synchronization method can be applied to intermittent communication. Accordingly, we evaluate the collision probability for the proposed synchronization method in intermittent communication. We introduce some cyclic interference sources and measure the probability of collision.

Experimental Study on Synchronization of Van der Pol Oscillator Circuit by Noise Sounds

“…As the preceding research, Yasuda and Hasegawa have examined temperature and humidity as natural signals to synchronize wireless sensor networks [18], [19]. Their study, however, have dealt only with simulated oscillators and no physical device has been examined.…”

“…As its application to electrical engineering, an interesting attempt has been also made. Yasuda and Hasegawa utilized natural environmental signals (e.g., temperature and humidity signals) as a noise source to synchronize a network of distributed wireless sensors [18], [19].…”

Noise-induced Synchronization of Crystal Oscillators

“…Recently, noise-induced synchronization has been applied to several engineering problems. For instance, simulation study examined environmental noise as a possible source for synchronizing wireless sensor networks [20,25]. Noise-induced synchronization has been also utilized in a simulated array of spin torque oscillators to overcome their low output power [21].…”