Volume: 15, Issue: 1(2005)
pp. 119-135 DOI: 10.1142/S0218127405012053
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Abstract |
Full Text (PDF, 1,025KB)
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References
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| Title: |
A GENERALIZED SYNCHRONIZATION THEOREM FOR AN ARRAY OF DIFFERENTIAL EQUATIONS WITH APPLICATION TO SECURE COMMUNICATION |
| Author(s): |
LEQUAN MIN
Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. ChinaXIAODAN ZHANG
Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. ChinaGUANRONG CHEN
Department of Electronic Engineering, City University of Hong Kong, P. R. China
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| History: |
Received May 13, 2003
Revised November 29, 2003
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| Abstract: |
This paper first presents a theorem for constructing a unidirectionally coupled array of differential equations (ADE) such that a driving system and a driven system achieve generalized synchronization (GS) via a set of invertible C1-diffeomorphism transformations. Secondly, a new secure communication scheme for digital image transformation is developed based on the theorem. Finally, a Chua's ADE with GS property is introduced, based on a prototype introduced by Chua as a two-dimensional dual-layer two-dimensional reaction–diffusion cellular neural network (CNN), and is applied to construct a secure image communication scheme. |
| Keywords: |
Generalized chaos synchronization; secure communication; Chua's CNN; array of differential equations
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