On the synchronization of autostochastic one-dimensional maps by an additive periodic signal

This paper investigates the synchronization mechanism of autostochastic systems, described by smooth one-dimensional mappings of a segment into itself, by additive periodic external signals. The structure of the synchronization window and the laws governing the transient processes preceding synchronization are explained. The mutual synchronization of the autoschastic systems considered is established as a fact. All results are confirmed by numerical modeling