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E-raamat: Choas and Control of Fractional Order Discrete Time Memristive Systems: Analytical Approaches and Numerical Simulations

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Choas and Control of Fractional Order Discrete Time Memristive Systems: Analytical Approaches and Numerical SimulationsSuurem pilt
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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.
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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