Generalized synchronization of chaos in non-invertible maps
Chaotic Dynamics
2009-11-07 v1
Abstract
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 using numerical simulations.
Keywords
Cite
@article{arxiv.nlin/0205007,
title = {Generalized synchronization of chaos in non-invertible maps},
author = {V. Afraimovich and A. Cordonet and N. F. Rulkov},
journal= {arXiv preprint arXiv:nlin/0205007},
year = {2009}
}
Comments
7 pages, 7 figures