Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-06-12
Nonlinear Sciences
Chaotic Dynamics
12 pages, 10 figures, to appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.64.016217
The onset of generalized synchronization of chaos in directionally-coupled systems corresponds to the formation of a continuous mapping which enables one to persistently define the state of the response system from the trajectory of the drive system. The recently developed theory of generalized synchronization of chaos deals only with the case where this synchronization mapping is a single-valued function. In this paper, we explore generalized synchronization in a regime where the synchronization mapping can become a multi-valued function. Specifically, we study the properties of the multi-valued mapping which occurs between the drive and response systems when the systems are synchronized with a frequency ratio other than one-to-one, and address the issues of the existence and continuity of such mappings. The basic theoretical framework underlying the considered synchronization regimes is then developed.
Afraimovich Valentin S.
Chazottes Jean René
Cordonet A.
Lewis Clifford Tureman
Rulkov Nikolai F.
No associations
LandOfFree
Multi-valued mappings in generalized chaos synchronization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multi-valued mappings in generalized chaos synchronization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multi-valued mappings in generalized chaos synchronization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-147864