On the distribution of synchronization delays in coupled fully-stretching markov maps

Riccardo Rovatti; Gianluca Setti

On the distribution of synchronization delays in coupled fully-stretching markov maps

Research output: Contribution to journal › Article › peer-review

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 [1], [2]. 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].

Original language	English (US)
Pages (from-to)	1769-1776
Number of pages	8
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E81-A
Issue number	9
State	Published - Jan 1 1998
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Signal Processing
Computer Graphics and Computer-Aided Design
Applied Mathematics
Electrical and Electronic Engineering

Cite this

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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 [1], [2]. 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].",

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N2 - 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 [1], [2]. 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].

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M3 - Article

SN - 0916-8508

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JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

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ER -

On the distribution of synchronization delays in coupled fully-stretching markov maps

Abstract

Bibliographical note

ASJC Scopus subject areas

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