Collective dynamic behaviors of a general adjacent coupled chain in both unconfined and confined spaces.

This paper studies the collective dynamic behaviors of a general adjacent coupled chain under a periodic driving force and dichotomous noise in both unconfined and confined spaces. The precise conditions for the stability, synchronization, and stochastic resonance (SR) of the system in an unconfined space were analytically derived and verified by numerical algorithms. The stability and synchronization of the adjacent coupled chain in the unconfined space were found to be related to the system and noise parameters. The collective dynamic behaviors of the adjacent coupled chain in the confined space were also analyzed through numerical simulations, and it was found that due to boundary constraints, the adjacent coupled chain consistently achieves stability and synchronization in the confined space. Moreover, when compared with the unconfined system, the output amplitude of the confined system exhibits more complex SR phenomena, such as double-peak SR, multi-peak SR, superharmonic SR and so on. [ABSTRACT FROM AUTHOR]