Overview

This book provides an in-depth exploration of novel fractional-order memristor-based discrete chaotic maps, examining their stability and chaotic behavior, investigating their complex dynamics, and exploring their applications in synchronization control using theoretical, numerical, and analog methods. It offers valuable insights for scholars, researchers, engineers, and professionals in the fields of applied mathematics, electrical engineering, and computational science. The main topics of this book include fractional calculus, discrete memristors, and their integration into well-known discrete systems. It focuses on developing novel fractional-order memristor-based chaotic discrete systems and investigating chaos theory, including initial conditions, complexity, and multistability dynamics. Detailed chapters also cover the experimental verification of these phenomena and explore their unique applications in synchronization control.

Full Product Details

Author:   Adel Ouannas ,  Amina Aicha Khennaoui ,  Omar Naifar ,  Abdellatif Ben Makhlouf
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
ISBN:  

9783032143143

ISBN 10:   3032143144
Pages:   457
Publication Date:   18 April 2026
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Forthcoming
Availability:   Not yet available  
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Table of Contents

Overview of Discrete Fractional Calculus.- Memristor Fendamental.- Building Fractional Discrete Time Systems with Memristor and Hidden Dynamics.- Stability Analysis of Fractional Order Memristors Based Discrete Maps.- Chaos in Fractional Discrete Time System with Infinite Attractors Based on Memristor.- Complex Dynamics and Synchronization of Fractional Discrete Time Memristor Map.- Nonlinear Dynamics of Memristor map for Integer order, Fractional order, and Variable order.- Incommensurate Fractional Discrete Memristive Hopfield Neural Network.- Design and Analysis of Fractional Order Memristors Based Maps.- Control of Fractional Order Memristor Based Maps with Hidden Dynamics.- Future Directions and Open Problems in Fractional Order Memristors Based Discrete systems.

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