On Ikeda-Based Memristor Map with Commensurate and Incommensurate Fractional Orders: Bifurcation, Chaos, and Entropy

On Ikeda-Based Memristor Map with Commensurate and Incommensurate Fractional Orders: Bifurcation, Chaos, and Entropy

This paper introduces a novel fractional Ikeda-based memristor map and investigates its non-linear dynamics under commensurate and incommensurate orders using various numerical techniques, including Lyapunov exponent analysis, phase portraits, and bifurcation diagrams. The results reveal diverse and...

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Bibliographic Details
Main Authors: Omar Alsayyed, Abderrahmane Abbes, Gharib Mousa Gharib, Mayada Abualhomos, Hassan Al-Tarawneh, Maha S. Al Soudi, Nabeela Abu-Alkishik, Abdallah Al-Husban, Adel Ouannas
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Fractal and Fractional
Subjects:
Ikeda-based memristor map
discrete fractional calculus
bifurcation
chaotic dynamics
sample entropy
control
Online Access:https://www.mdpi.com/2504-3110/7/10/728

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