A secure communication scheme based generalized function projective synchronization of a new 5D hyperchaotic system

Xiangjun Wu, Zhengye Fu, Jurgen Kurths

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, a new five-dimensional hyperchaotic system is proposed based on the Lü hyperchaotic system. Some of its basic dynamical properties, such as equilibria, Lyapunov exponents, bifurcations and various attractors are investigated. Furthermore, a new secure communication scheme based on generalized function projective synchronization (GFPS) of this hyperchaotic system with an uncertain parameter is presented. The communication scheme is composed of the modulation, the chaotic receiver, the chaotic transmitter and the demodulation. The modulation mechanism is to modulate the message signal into the system parameter. Then the chaotic signals are sent to the receiver via a public channel. In the receiver end, by designing the controllers and the parameter update rule, GFPS between the transmitter and receiver systems is achieved and the unknown parameter is estimated simultaneously. The message signal can be finally recovered by the identified parameter and the corresponding demodulation method. There is no any limitation on the message size. Numerical simulations are performed to show the validity and feasibility of the presented secure communication scheme.
Original languageEnglish
Article number045210
Number of pages12
JournalPhysica Scripta
Volume90
Issue number4
DOIs
Publication statusPublished - 27 Mar 2015

Fingerprint

Projective Synchronization
Hyperchaotic System
Secure Communication
Generalized Functions
synchronism
Receiver
communication
messages
receivers
Demodulation
Transmitter
demodulation
Modulation
transmitters
Uncertain Parameters
modulation
Lyapunov Exponent
Unknown Parameters
Attractor
Bifurcation

Cite this

A secure communication scheme based generalized function projective synchronization of a new 5D hyperchaotic system. / Wu, Xiangjun; Fu, Zhengye; Kurths, Jurgen.

In: Physica Scripta, Vol. 90, No. 4, 045210, 27.03.2015.

Research output: Contribution to journalArticle

@article{f77e8daacfdc4641b9e8da2bef91cdb9,
title = "A secure communication scheme based generalized function projective synchronization of a new 5D hyperchaotic system",
abstract = "In this paper, a new five-dimensional hyperchaotic system is proposed based on the L{\"u} hyperchaotic system. Some of its basic dynamical properties, such as equilibria, Lyapunov exponents, bifurcations and various attractors are investigated. Furthermore, a new secure communication scheme based on generalized function projective synchronization (GFPS) of this hyperchaotic system with an uncertain parameter is presented. The communication scheme is composed of the modulation, the chaotic receiver, the chaotic transmitter and the demodulation. The modulation mechanism is to modulate the message signal into the system parameter. Then the chaotic signals are sent to the receiver via a public channel. In the receiver end, by designing the controllers and the parameter update rule, GFPS between the transmitter and receiver systems is achieved and the unknown parameter is estimated simultaneously. The message signal can be finally recovered by the identified parameter and the corresponding demodulation method. There is no any limitation on the message size. Numerical simulations are performed to show the validity and feasibility of the presented secure communication scheme.",
author = "Xiangjun Wu and Zhengye Fu and Jurgen Kurths",
note = "This research was jointly supported by the National Natural Science Foundation of China (Grant Nos. 61004006 and 61203094), China Postdoctoral Science Foundation (Grant No. 2013M530181), the Natural Science Foundation of Henan Province, China (Grant No. 13230010254), Program for Science & Technology Innovation Talents in Universities of Henan Province, China (Grant No. 14HASTIT042), the Foundation for University Young Key Teacher Program of Henan Province, China (Grant No. 2011GGJS-025), Shanghai Postdoctoral Scientific Program (Grant No. 13R21410600), the Science & Technology Project Plan of Archives Bureau of Henan Province (Grant No. 2012-X-62) and the Natural Science Foundation of Educational Committee of Henan Province, China (Grant No. 13A520082). The authors would like to thank the anonymous reviewers and the editor for their helpful comments.",
year = "2015",
month = "3",
day = "27",
doi = "10.1088/0031-8949/90/4/045210",
language = "English",
volume = "90",
journal = "Physica Scripta",
issn = "0031-8949",
publisher = "IOP Publishing Ltd.",
number = "4",

}

TY - JOUR

T1 - A secure communication scheme based generalized function projective synchronization of a new 5D hyperchaotic system

AU - Wu, Xiangjun

AU - Fu, Zhengye

AU - Kurths, Jurgen

N1 - This research was jointly supported by the National Natural Science Foundation of China (Grant Nos. 61004006 and 61203094), China Postdoctoral Science Foundation (Grant No. 2013M530181), the Natural Science Foundation of Henan Province, China (Grant No. 13230010254), Program for Science & Technology Innovation Talents in Universities of Henan Province, China (Grant No. 14HASTIT042), the Foundation for University Young Key Teacher Program of Henan Province, China (Grant No. 2011GGJS-025), Shanghai Postdoctoral Scientific Program (Grant No. 13R21410600), the Science & Technology Project Plan of Archives Bureau of Henan Province (Grant No. 2012-X-62) and the Natural Science Foundation of Educational Committee of Henan Province, China (Grant No. 13A520082). The authors would like to thank the anonymous reviewers and the editor for their helpful comments.

PY - 2015/3/27

Y1 - 2015/3/27

N2 - In this paper, a new five-dimensional hyperchaotic system is proposed based on the Lü hyperchaotic system. Some of its basic dynamical properties, such as equilibria, Lyapunov exponents, bifurcations and various attractors are investigated. Furthermore, a new secure communication scheme based on generalized function projective synchronization (GFPS) of this hyperchaotic system with an uncertain parameter is presented. The communication scheme is composed of the modulation, the chaotic receiver, the chaotic transmitter and the demodulation. The modulation mechanism is to modulate the message signal into the system parameter. Then the chaotic signals are sent to the receiver via a public channel. In the receiver end, by designing the controllers and the parameter update rule, GFPS between the transmitter and receiver systems is achieved and the unknown parameter is estimated simultaneously. The message signal can be finally recovered by the identified parameter and the corresponding demodulation method. There is no any limitation on the message size. Numerical simulations are performed to show the validity and feasibility of the presented secure communication scheme.

AB - In this paper, a new five-dimensional hyperchaotic system is proposed based on the Lü hyperchaotic system. Some of its basic dynamical properties, such as equilibria, Lyapunov exponents, bifurcations and various attractors are investigated. Furthermore, a new secure communication scheme based on generalized function projective synchronization (GFPS) of this hyperchaotic system with an uncertain parameter is presented. The communication scheme is composed of the modulation, the chaotic receiver, the chaotic transmitter and the demodulation. The modulation mechanism is to modulate the message signal into the system parameter. Then the chaotic signals are sent to the receiver via a public channel. In the receiver end, by designing the controllers and the parameter update rule, GFPS between the transmitter and receiver systems is achieved and the unknown parameter is estimated simultaneously. The message signal can be finally recovered by the identified parameter and the corresponding demodulation method. There is no any limitation on the message size. Numerical simulations are performed to show the validity and feasibility of the presented secure communication scheme.

U2 - 10.1088/0031-8949/90/4/045210

DO - 10.1088/0031-8949/90/4/045210

M3 - Article

VL - 90

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 4

M1 - 045210

ER -