Effect of spatial correlation on stochastic resonance in two linearly interacting noisy bistable oscillators

We investigate the effect of locally correlated spatial noise on the stochastic resonance (SR) phenomenon in two linearly interacting overdamped bistable oscillators using a symmetric series expansion method designed for calculating the long-time probability density function within the linear response range. For positive coupling strength, it is shown that negative correlation has an advantage over both statistical independence and positive correlation for enhancing SR when the bias parameter is small, but for a larger bias parameter or for negative coupling strength, it is found that positive correlation is better than the others. Our observation suggests the complexity in the interaction of correlation and system response, and the result should be useful for weak signal detection and transmission in a correlated noisy background.