A generalized synchronization theorem for an array of differential equations with application to secure communication

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

12 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)119-135
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume15
Issue number1
Publication statusPublished - 2005

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 C 1-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. © World Scientific Publishing Company.

Research Area(s)

  • Array of differential equations, Chua's CNN, Generalized chaos synchronization, Secure communication

Citation Format(s)

A generalized synchronization theorem for an array of differential equations with application to secure communication. / Min, Lequan; Zhang, Xiaodan; Chen, Guanrong.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 15, No. 1, 2005, p. 119-135.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review