Input-induced synchronization in finite N-unit bistable Langevin models: The augmented moment method

The synchronization induced by suprathreshold inputs with the spatial variability has been discussed in N -unit coupled bistable Langevin models subjected to cross-correlated additive and multiplicative noise. We have employed numerical simulations and the semi-analytic augmented moment method (AMM) which is the second-order moment approximation for local and global variables [H. Hasegawa, Phys. Rev. E 67, 041903 (2003)]. The synchronization is shown to be spontaneously induced by external input signals. Effects on the synchrony of the system size (N), the coupling strength, the cross-correlation and the spatial variability in external signals have been discussed. Results of the bistable Langevin model are compared to those of the linear Langevin model. PACS No. 05.10.Gg, 05.45.-a, 05.45.Xt Phone: +81-42-329-7482 Fax: +81-42-329-7491 E-mail: [email protected] E-mail address: [email protected]