An adaptive chaos synchronization scheme applied to secure communication

Feki, Moez

doi:10.1016/s0960-0779(02)00585-4

Cited by 495 publications

(196 citation statements)

References 18 publications

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“…Then, in order to maintain synchronization, it is essential to dynamically compensate for these variations. Recently, several algorithms have been developed to maintain or produce synchrony in a network of chaotic oscillators (Ito & Kaneko 2001;Feki 2003;Zhou & Kurths 2006;de Lellis et al 2008). Sorrentino & Ott (2008, 2009a proposed and simulated an adaptive algorithm to estimate and track a priori unknown coupling changes in a network of chaotic oscillators.…”

Section: Adaptive Synchronizationmentioning

confidence: 99%

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Murphy

Cohen

Ravoori

et al. 2010

Phil. Trans. R. Soc. A.

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We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The oscillator uses electro-optic modulation and fibre-optic transmission, with feedback and filtering implemented through real-time digital signal processing. We consider two such oscillators that are coupled to one another, and we identify the conditions under which they will synchronize. By examining the rates of divergence or convergence between two coupled oscillators, we quantify the maximum Lyapunov exponents or transverse Lyapunov exponents of the system, and we present an experimental method to determine these rates that does not require a mathematical model of the system. Finally, we demonstrate a new adaptive control method that keeps two oscillators synchronized, even when the coupling between them is changing unpredictably.

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Section: Adaptive Synchronizationmentioning

confidence: 99%

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Murphy

Cohen

Ravoori

et al. 2010

Phil. Trans. R. Soc. A.

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“…When in sliding manifold , S the system (7) satisfies the following two conditions: ( ) 0 s e = (9) which is the defining equation for the manifold S and ( ) 0 s e =  (10) which is the necessary condition for the state trajectory ( ) e t of (7) to lie on the sliding manifold . S From (7) and (8), the equation (10) (12) into the error dynamics (7), we get the closed-loop error dynamics as 1 ( ) e I B CB C Ae…”

Section: General Results For Sliding Controller Designmentioning

confidence: 99%

“…Chaos synchronization has been applied in a wide variety of fields including physics [6], chemistry [7], ecology [8], secure communications [9][10], cardiology [11], neurology [12], robotics [13], etc.…”

Section: Introductionmentioning

confidence: 99%

Sliding Controller Design for the Global Chaos Synchronization of Identical Hyperchaotic Yujun Systems

Vaidyanathan¹

2012

IJAIT

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“…Short-time period analysis based cryptanalysis of a cryptosystem proposed in [40] In [40], the author proposes a symmetric secure communication system based on parameter modulation of a chaotic oscillator acting as a transmitter. The receiver is a chaotic system synchronized by means of an adaptive observer.…”

Section: Case Study 823 ([4])mentioning

confidence: 99%

Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers

Álvarez

Amigó

Arroyo

et al. 2011

Studies in Computational Intelligence

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The idea of using chaotic transformations in cryptography is explicit in the foundational papers of Shannon on secrecy systems (e.g., [96]). Although the word "chaos" was not minted till the 1970s [71], Shannon clearly refers to this very concept when he proposes the construction of secure ciphers by means of measure-preserving, mixing maps which depend 'sensitively' on their parameters. The implementation of Shannon's intuitions had to wait till the development of Chaos Theory in the 1980s. Indeed, it was around 1990 when the first chaos-based ciphers were proposed (e.g., [78], [46]). Moreover, in 1990 chaos synchronization [91] entered the scene and shortly thereafter, the first applications to secure communications followed [56,37]. The idea is remarkably simple: mask the message with a chaotic signal and use synchronization at the receiver to filter out the chaotic signal. The realization though had to overcome the desynchronization induced by the message itself. After this initial stage, the number of proposals which exploited the properties of chaotic maps for cryptographical purposes, grew in a spectacular way.

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An adaptive chaos synchronization scheme applied to secure communication

Cited by 495 publications

References 18 publications

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Complex dynamics and synchronization of delayed-feedback nonlinear oscillators

Sliding Controller Design for the Global Chaos Synchronization of Identical Hyperchaotic Yujun Systems

Lessons Learnt from the Cryptanalysis of Chaos-Based Ciphers

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