Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Optimization Of Integer/Fractional Order Chaotic Systems By Metaheuristics And Their Electronic RealizationISBN13:9780367706333ISBN10:0367706334Author:Tlelo-Cuautle, Esteban (Author), Guill?n-Fern?ndez, Omar (Author), Silva-Ju?rez, Alejandro (Author)Description:Mathematicians Have Devised Different Chaotic Systems That Are Modeled By Integer Or Fractional-Order Differential Equations, And Whose Mathematical Models Can Generate Chaos Or Hyperchaos The Numerical Methods To Simulate Those Integer And Fractional-Order Chaotic Systems Are Quite Different And Their Exactness Is Responsible In The Evaluation Of Characteristics Like Lyapunov Exponents, Kaplan-Yorke Dimension, And Entropy One Challenge Is Estimating The Step-Size To Run A Numerical Method It Can Be Done Analyzing The Eigenvalues Of Self-Excited Attractors, While For Hidden Attractors It Is Difficult To Evaluate The Equilibrium Points That Are Required To Formulate The Jacobian Matrices Time Simulation Of Fractional-Order Chaotic Oscillators Also Requires Estimating A Memory Length To Achieve Exact Results, And It Is Associated To Memories In Hardware Design In This Manner, Simulating Chaotichyperchaotic Oscillators Of Integerfractional-Order And With Self-Excitedhidden Attractors Is Quite Important To Evaluate Their Lyapunov Exponents, Kaplan-Yorke Dimension And Entropy Further, To Improve The Dynamics Of The Oscillators, Their Main Characteristics Can Be Optimized Applying Metaheuristics, Which Basically Consists Of Varying The Values Of The Coefficients Of A Mathematical Model The Optimized Models Can Then Be Implemented Using Commercially Available Amplifiers, Field-Programmable Analog Arrays (Fpaa), Field-Programmable Gate Arrays (Fpga), Microcontrollers, Graphic Processing Units, And Even Using Nanometer Technology Of Integrated Circuits The Book Describes The Application Of Different Numerical Methods To Simulate Integerfractional-Order Chaotic Systems These Methods Are Used Within Optimization Loops To Maximize Positive Lyapunov Exponents, Kaplan-Yorke Dimension, And Entropy Single And Multi-Objective Optimization Approaches Applying Metaheuristics Are Described, As Well As Their Tuning Techniques To Generate Feasible Solutions That Are Suitable For Electronic Implementation The Book Details Several Applications Of Chaotic Oscillators Such As In Random Bitnumber Generators, Cryptography, Secure Communications, Robotics, And Internet Of Things Binding:Paperback, PaperbackPublisher:CRC PressPublication Date:2023-05-29Weight:0 lbsDimensions:Number of Pages:256Language:English
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Author: Tlelo-Cuautle, Esteban (Author)
Book Title: Optimization Of Integer/Fractional Order Chaotic Systems By ...
Language: English
Format: Paperback
Publisher: CRC Press
Publication Year: 2023
Item Weight: 0 lbs