Synchronization of 2-cycles for three migration - connected populations

The work deals with investigation of the oscillation synchronization in a system of three populations, migration - related in a ring. The dynamics model represents a system of three identical logistic dissipatively interconnected mappings. The author has constructed a complete phase portrait of the model using qualitative methods of dynamic systems study. It is shown that there are several periodic points in the phase space, corresponding to synchronous and asynchronous cycles.