Diffusive Synchronization of Hyperchaotic Lorenz Systems

Diffusive Synchronization of Hyperchaotic Lorenz Systems

The synchronizing properties of two diffusively coupled hyperchaotic Lorenz 4D systems are investigated by calculating the transverse Lyapunov exponents and by observing the phase space trajectories near the synchronization hyperplane. The effect of parameter mismatch is also observed. A simple elec...

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Main Author: Ruy Barboza
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2009/174546
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spelling doaj-6150dde2a8ce46f090c2ea498dcb03df2020-11-24T23:03:34ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472009-01-01200910.1155/2009/174546174546Diffusive Synchronization of Hyperchaotic Lorenz SystemsRuy Barboza0Department of Electrical Engineering, School of Engineering at São Carlos, University of São Paulo, 13566-590 São Carlos, SP, BrazilThe synchronizing properties of two diffusively coupled hyperchaotic Lorenz 4D systems are investigated by calculating the transverse Lyapunov exponents and by observing the phase space trajectories near the synchronization hyperplane. The effect of parameter mismatch is also observed. A simple electrical circuit described by the Lorenz 4D equations is proposed. Some results from laboratory experiments with two coupled circuits are presented.http://dx.doi.org/10.1155/2009/174546
collection DOAJ
language English
format Article
sources DOAJ
author Ruy Barboza
spellingShingle Ruy Barboza
Diffusive Synchronization of Hyperchaotic Lorenz Systems
Mathematical Problems in Engineering
author_facet Ruy Barboza
author_sort Ruy Barboza
title Diffusive Synchronization of Hyperchaotic Lorenz Systems
title_short Diffusive Synchronization of Hyperchaotic Lorenz Systems
title_full Diffusive Synchronization of Hyperchaotic Lorenz Systems
title_fullStr Diffusive Synchronization of Hyperchaotic Lorenz Systems
title_full_unstemmed Diffusive Synchronization of Hyperchaotic Lorenz Systems
title_sort diffusive synchronization of hyperchaotic lorenz systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2009-01-01
description The synchronizing properties of two diffusively coupled hyperchaotic Lorenz 4D systems are investigated by calculating the transverse Lyapunov exponents and by observing the phase space trajectories near the synchronization hyperplane. The effect of parameter mismatch is also observed. A simple electrical circuit described by the Lorenz 4D equations is proposed. Some results from laboratory experiments with two coupled circuits are presented.
url http://dx.doi.org/10.1155/2009/174546
work_keys_str_mv AT ruybarboza diffusivesynchronizationofhyperchaoticlorenzsystems
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