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

Mathematics – Dynamical Systems

Scientific paper

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10 pages, 6 figures

Scientific paper

Using Caputo fractional derivative of order $\alpha,$ $\alpha\in (0,1),$ 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.

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