Generalized synchronization of chaos in noninvertible maps

V. Afraimovich, A. Cordonet, N. F. Rulkov
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The properties of functional relation between a non-invertible chaotic drive and a response map in the regime of generalized synchronization of chaos are studied. It is shown that despite a very fuzzy image of the relation between the current states of the maps, the functional relation becomes apparent when a sufficient interval of driving trajectory is taken into account. This paper develops a theoretical framework of such functional relation and illustrates the main theoretical conclusions
more » ... ical conclusions using numerical simulations.
doi:10.1103/physreve.66.016208 pmid:12241462 fatcat:a2himqpd2zcwvoquvjm3us32su