title: On the geometry of master-slave synchronization.
abstract: In 1990, Pecora and Carroll reported the observation that one can synchronize the orbits of two identical dynamical systems, which may be chaotic, by feeding state variables of one of them to the other one with no feedback, a phenomenon often called master-slave synchronization. We report here some results on the theory of master-slave synchronization for maps and flows, which are all inspired by a similar geometric and coordinate independent point of view to the one introduced in master-slave synchronization by Tresser, Worfolk, and Bass. Our results are variations on the theme that projection often can compensate for expansion.(c) 2002 American Institute of Physics.
authors.affiliation: IBM Thomas J. Watson Research Center, P. O. Box 218, Yorktown Heights, New York 10598.
authors.forename: Marco
authors.initials: M
authors.lastname: Martens
authors.forename: Elisabeth
authors.initials: E
authors.lastname: Pecou
authors.forename: Charles
authors.initials: C
authors.lastname: Tresser
authors.forename: Patrick
authors.initials: P
authors.lastname: Worfolk