The Concept of Synchronization from the Observer's Viewpoint

Year 2011, Volume: 8 Issue: 2, - , 01.11.2011

Mohammad Reza Molaei

Abstract

In this paper the concept of synchronization for continuous time dynamical
systems from the viewpoint of an observer is considered. It is proved that: this concept is a
generalization of the notion of synchronization. It is proved that the future of the points of
the set in which two dynamical systems are relative probability synchronized is the same
up to the homeomorphism determined by a relative probability synchronization. The
persistence of relative probability synchronization under a topological conjugate relation
is deduced.

Keywords

Synchronization, relative probability measure, observer, relative conjugacy

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