On the Distribution of Synchronization Delays in Coupled Fully-Stretching Markov Maps
Summary :
Synchronization between two fully stretching piecewise affine Markov maps in the usual master-slave configuration has been proven to be possible in some interesting 2-dimensional and 3-dimensional cases. Aim of this contribution is to make a further step in the study of this phenomenon by showing that, if the two systems synchronize, the probability of having a certain synchronization time is bounded from above by an exponentially vanishing distribution. This result gives some formal ground to the numerical evidence shown in [2].
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.9 pp.1769-1776
- Publication Date
- 1998/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)
- Category
- Chaos, Bifurcation and Fractal
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Riccardo ROVATTI, Gianluca SETTI, "On the Distribution of Synchronization Delays in Coupled Fully-Stretching Markov Maps" in IEICE TRANSACTIONS on Fundamentals,
vol. E81-A, no. 9, pp. 1769-1776, September 1998, doi: .
Abstract: Synchronization between two fully stretching piecewise affine Markov maps in the usual master-slave configuration has been proven to be possible in some interesting 2-dimensional and 3-dimensional cases. Aim of this contribution is to make a further step in the study of this phenomenon by showing that, if the two systems synchronize, the probability of having a certain synchronization time is bounded from above by an exponentially vanishing distribution. This result gives some formal ground to the numerical evidence shown in [2].
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_9_1769/_p
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@ARTICLE{e81-a_9_1769,
author={Riccardo ROVATTI, Gianluca SETTI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Distribution of Synchronization Delays in Coupled Fully-Stretching Markov Maps},
year={1998},
volume={E81-A},
number={9},
pages={1769-1776},
abstract={Synchronization between two fully stretching piecewise affine Markov maps in the usual master-slave configuration has been proven to be possible in some interesting 2-dimensional and 3-dimensional cases. Aim of this contribution is to make a further step in the study of this phenomenon by showing that, if the two systems synchronize, the probability of having a certain synchronization time is bounded from above by an exponentially vanishing distribution. This result gives some formal ground to the numerical evidence shown in [2].},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - On the Distribution of Synchronization Delays in Coupled Fully-Stretching Markov Maps
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1769
EP - 1776
AU - Riccardo ROVATTI
AU - Gianluca SETTI
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1998
AB - Synchronization between two fully stretching piecewise affine Markov maps in the usual master-slave configuration has been proven to be possible in some interesting 2-dimensional and 3-dimensional cases. Aim of this contribution is to make a further step in the study of this phenomenon by showing that, if the two systems synchronize, the probability of having a certain synchronization time is bounded from above by an exponentially vanishing distribution. This result gives some formal ground to the numerical evidence shown in [2].
ER -
English
