Application adaptive exponential synchronization of chaotic dynamical systems in secure communications

Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control scheme is proposed, and the convergence of the synchronized error is guaranteed. Masking and modulation methods are applied for encryption. T...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2017; no. 1; pp. 1 - 21
Main Authors Maheri, Mahmoud, Md Arifin, Norihan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 29.03.2017
Springer Nature B.V
SpringerOpen
Subjects
Analysis
chaos
Chaos theory
Computer programs
Difference and Functional Equations
Dynamical systems
Encryption
exponential
Functional Analysis
Masking
Mathematics
Mathematics and Statistics
Matlab
Ordinary Differential Equations
Partial Differential Equations
stability
Synchronism
Synchronization
exponential
synchronization
chaos
encryption
stability
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Summary:Synchronization of chaotic systems which is defined based on the exponential stability for encrypts of signals is presented in this paper. An adaptive control scheme is proposed, and the convergence of the synchronized error is guaranteed. Masking and modulation methods are applied for encryption. To verify the effectiveness of the proposed schemes, numerical simulation was applied on a well-known system without linear term chaotic using MatLab software. The comparison of the proposed chaotic synchronization in the case of the synchronization rate and in the decryption precision of sent signal and image are shown.
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1158-6