Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization
Author :
Publisher : CRC Press
Total Pages : 267
Release :
ISBN-10 : 9781000346657
ISBN-13 : 100034665X
Rating : 4/5 (57 Downloads)

Book Synopsis Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization by : Esteban Tlelo-Cuautle

Download or read book Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization written by Esteban Tlelo-Cuautle and published by CRC Press. This book was released on 2021-05-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 chaotic/hyperchaotic oscillators of integer/fractional-order and with self-excited/hidden 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 integer/fractional-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 bit/number generators, cryptography, secure communications, robotics, and Internet of Things.


Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization Related Books

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization
Language: en
Pages: 267
Authors: Esteban Tlelo-Cuautle
Categories: Mathematics
Type: BOOK - Published: 2021-05-09 - Publisher: CRC Press

DOWNLOAD EBOOK

Mathematicians have devised different chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can
Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and Their Electronic Realization
Language: en
Pages: 0
Authors: Esteban Tlelo-Cuautle
Categories:
Type: BOOK - Published: 2023-05 - Publisher: CRC Press

DOWNLOAD EBOOK

The book describes the application of different numerical methods to simulate integer/fractional-order chaotic systems. These methods are used within optimizati
Complex Systems and Their Applications
Language: en
Pages: 267
Authors: Guillermo Huerta Cuéllar
Categories: Science
Type: BOOK - Published: 2022-06-10 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book is a compilation of scientific articles written by recognized researchers, and select students, participating in the Second Conference on the Study of
Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications
Language: en
Pages: 223
Authors: Esteban Tlelo-Cuautle
Categories: Technology & Engineering
Type: BOOK - Published: 2019-11-11 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital dom
Fractional Order Darwinian Particle Swarm Optimization
Language: en
Pages: 82
Authors: Micael Couceiro
Categories: Technology & Engineering
Type: BOOK - Published: 2015-06-16 - Publisher: Springer

DOWNLOAD EBOOK

This book examines the bottom-up applicability of swarm intelligence to solving multiple problems, such as curve fitting, image segmentation, and swarm robotics