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.

Builds new fractional memristor discrete maps, exploring their chaos, dynamics, and investigating practical applications Includes fractional calculus, discrete memristors, and their integration into well-known discrete systems Offers valuable insights in the fields of applied mathematics, electrical engineering, and computational science

Inhalt

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.