Synchronization and secure communication using some chaotic systems of fractional differential equations

2009/01/19 by O. Chis, Chis, O., D. Opris +2
Mathematics · Physics and Astronomy · #11T71 #65P20 #94A05 #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Quantum chaos and dynamical systems #math.DS #msc:11T71 #msc:65P20 #msc:94A05

paper · pdf · doi:10.48550/arxiv.0901.2904

10 pages, 6 figures

arxiv created 2009/01/19 · openalex publication_date 2009/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Caputo fractional derivative of order α, α∈ (0,1), we consider some chaotic systems of fractional differential equation. We will prove that they can be synchronized and anti-synchronized using suitable nonlinear control function. The synchronized or anti-synchronized error system of fractional differential equations is used in secure communication.

Citations

• Synchronization between variable time delayed systems and cryptography

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