Synchronization between variable time delayed systems and cryptography

2008/02/06 by Dibakar Ghosh, Santo Banerjee, Ghosh, Dibakar +3 · 1 citation
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #Quantum chaos and dynamical systems #nlin.CD #nlin.PS

paper · pdf · doi:10.48550/arxiv.0802.0768

9 pages,3 figures. Submitted to EPL

arxiv created 2008/02/06 · openalex publication_date 2008/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this letter we consider a prototype model which is described as an autonomous continuous time delayed differential equation with just one variable. The chaos has been investigated with variable delay time and the synchronization phenomenon is examined both numerically and analytically using the Krasovskii-Lyapunov functions. We have applied adaptive coupling law for synchronization,where the coupling equation also contains delay with modulated time. We also studied the effect of cryptography for this coupled system and the message extraction procedure is illustrated with the help of simulated results.

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