title: Generalized synchronization of chaos in noninvertible maps.
abstract: The properties of functional relation between a noninvertible 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 using numerical simulations.
authors.affiliation: IICO-UASLP, A. Obregón 64, 78000 San Luis Potosí, SLP, Mexico.
authors.forename: V
authors.initials: V
authors.lastname: Afraimovich
authors.forename: A
authors.initials: A
authors.lastname: Cordonet
authors.forename: N F
authors.initials: NF
authors.lastname: Rulkov