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On a fractional-order delay Mackey-Glass equation

Article scientifique 2016 Anglais

Résumé

In this paper, a fractional-order Mackey-Glass equation with constant delay is considered. The local stability of the fixed points is analyzed. Moreover, a discretization process is applied to convert the fractional-order delay equation to its discrete analog. A numerical simulation including Lyapunov exponent, phase diagrams, bifurcation, and chaos is carried out using Matlab to ensure theoretical results and to reveal more complex dynamics of the equation after discretization.

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El‐Sayed, A., Salman, S., Elabd, N. (2016). On a fractional-order delay Mackey-Glass equation. https://doi.org/10.1186/s13662-016-0863-x

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Auteur(s)

A. M. A. El‐Sayed Sanaa Moussa Salman Naemaa A Elabd

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