Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems

Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems

This paper deals with the projective synchronization (PS) of two identical discrete-time generalized four-dimensional (4D) hyperchaotic Henon maps using a master-slave configuration. A discrete sliding mode controller (DSMC) scheme is proposed to synchronize the master and the slave systems. The per...

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Main Authors: Salahuddin Abdul Rahman, Mohamed Zribi, Nejib Smaoui
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/2491850
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spelling doaj-7fb75ede58634865ab5cd6eb2872356c2020-11-24T21:29:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/24918502491850Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic SystemsSalahuddin Abdul Rahman0Mohamed Zribi1Nejib Smaoui2Department of Electrical Engineering, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Electrical Engineering, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitThis paper deals with the projective synchronization (PS) of two identical discrete-time generalized four-dimensional (4D) hyperchaotic Henon maps using a master-slave configuration. A discrete sliding mode controller (DSMC) scheme is proposed to synchronize the master and the slave systems. The performance of the controlled systems is simulated; the simulation results indicate that the proposed controller works well. In addition, a secure communication scheme is proposed based on the developed control scheme. The validity of the proposed scheme is tested by transmitting an image and simulating the results. The simulation results clearly indicate the effectiveness of the proposed secure communication scheme.http://dx.doi.org/10.1155/2019/2491850
collection DOAJ
language English
format Article
sources DOAJ
author Salahuddin Abdul Rahman
Mohamed Zribi
Nejib Smaoui
spellingShingle Salahuddin Abdul Rahman
Mohamed Zribi
Nejib Smaoui
Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems
Mathematical Problems in Engineering
author_facet Salahuddin Abdul Rahman
Mohamed Zribi
Nejib Smaoui
author_sort Salahuddin Abdul Rahman
title Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems
title_short Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems
title_full Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems
title_fullStr Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems
title_full_unstemmed Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems
title_sort secure communications based on the projective synchronization of four-dimensional hyperchaotic systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description This paper deals with the projective synchronization (PS) of two identical discrete-time generalized four-dimensional (4D) hyperchaotic Henon maps using a master-slave configuration. A discrete sliding mode controller (DSMC) scheme is proposed to synchronize the master and the slave systems. The performance of the controlled systems is simulated; the simulation results indicate that the proposed controller works well. In addition, a secure communication scheme is proposed based on the developed control scheme. The validity of the proposed scheme is tested by transmitting an image and simulating the results. The simulation results clearly indicate the effectiveness of the proposed secure communication scheme.
url http://dx.doi.org/10.1155/2019/2491850
work_keys_str_mv AT salahuddinabdulrahman securecommunicationsbasedontheprojectivesynchronizationoffourdimensionalhyperchaoticsystems
AT mohamedzribi securecommunicationsbasedontheprojectivesynchronizationoffourdimensionalhyperchaoticsystems
AT nejibsmaoui securecommunicationsbasedontheprojectivesynchronizationoffourdimensionalhyperchaoticsystems
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