The Effect of Caputo Fractional Variable Difference Operator on a Discrete-Time Hopfield Neural Network with Non-Commensurate Order

The Effect of Caputo Fractional Variable Difference Operator on a Discrete-Time Hopfield Neural Network with Non-Commensurate Order

In this work, we recall some definitions on fractional calculus with discrete-time. Then, we introduce a discrete-time Hopfield neural network (D.T.H.N.N) with non-commensurate fractional variable-order (V.O) for three neurons. After that, phase-plot portraits, bifurcation and Lyapunov exponents dia...

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Bibliographic Details
Main Authors: Rabia Chaimaà Karoun, Adel Ouannas, Mohammed Al Horani, Giuseppe Grassi
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Fractal and Fractional
Subjects:
Hopfield neural network
fractional variable order
chaos
bifurcation
Lyapunov exponents
<i>C</i><sub>0</sub> complexity
Online Access:https://www.mdpi.com/2504-3110/6/10/575

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https://www.mdpi.com/2504-3110/6/10/575

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