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.
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