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Chaos Synchronization between Two Different Chaotic Systems and Its Application in Secure Communication

Author: LiuYang
Tutor: LuHuiBin
School: Yanshan University
Course: Signal and Information Processing
Keywords: chaos chaos synchronization two different systems modulation channel function projective synchronization modified function projective synchron-ization secure communication
CLC: O415.5
Type: Master's thesis
Year: 2013
Downloads: 2
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Abstract


Chaos, is a widely existing phenomenon in nature and a kind of motion stateproduced by nonlinear dynamics system. With the constant improvement of chaos theories,chaos synchronization has become the focus of research for scholars in various fields.Like-noise, unpredictability, broad bandwidth and the extreme sensitivity of the initialvalue of chaos is the cornerstone of chaotic secure communications applications, while itis the chaos synchronization that makes the application come true.The thesis makes a comprehensive exposition of chaos theories and a detaileddiscussion on synchronization of chaotic systems and its confidential communication.Main contents of the article are as follows:Firstly, the thesis explores the theory of chaos and introduces the definition of chaossynchronization, several typical methods of the same and two different chaotic systemsand popular programs of chaotic secure communications applications to point out theresearch purpose of the subject.Secondly, the article is to analyze the influence of the characteristics of modulationchannel on chaos synchronization and chaotic parameter and synchronization problemsbetween the different dimension chaotic systems, design a rational function projectivesynchronization controller and a recognition rate of the channel characteristics and thegeneral form of disturbance recognition rate of parameters. And with the selection ofhyperchaotic chen system and a new three-dimensional chaotic systems, the aim of thisresearch is to study the feasibility of the design by using Matlab numerical simulation andanalyzing the results.Thirdly, as to a difficult situation for constructing a suitable Lyapunov function, twoforms of system error is designed to linearize the error system and stabilize the errorsystem asymptotically at zero, that is, the system reaches synchronization. With regard totwo modified projective synchronization projections, hyperchaotic chen system and a newthree-dimensional chaotic system, hyperchaotic Lorenz system numerical simulation are chosen to verify the synchronization scheme.Finally, the simulation experiment of secure communication is conducted on the basisof chaos synchronization program. To improve the inadequacies of chaos obscure, chaosobscure and chaotic parameter modulation are adopted to design the scheme and Matlab isused for numerical simulation to verify it.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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