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Domain Structured Chaos and Applications

Domain Structured Chaos and Applications
Author: Marat Akhmet
Publisher: IOP Publishing Limited
Total Pages: 150
Release: 2021-08-04
Genre: Science
ISBN: 9780750335058

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Domain structured dynamics introduces a way for analysis of chaos in fractals, neural networks and random processes. It starts with newly invented abstract similarity sets and maps, which are in the basis of the abstract similarity dynamics. Then a labeling procedure is designed to determine the domain structured dynamics. The results follow the Pythagorean doctrine, considering finite number of indices for the labeling, with potential to become universal in future. The immediate power of the approach for fractals as domains of chaos, revisited famous deterministic and stochastic models, new types of differential equations and neural networks is seen in the book. This is not considered through widening areas, where the notions can be seen and recognized, but by deepening abstraction. Key Features Provides the abstract similarity map, which generalizes the Bernoulli shift for abstract self-similar sets. Discusses dynamically generated self-similar sets as a method of chaos generation. Introduces abstract fractals as sets of metric spaces on the basis of abstract similar sets. Presents fractals concepts discussed through the newly introduced notions.


Complex Systems: Chaos and Beyond

Complex Systems: Chaos and Beyond
Author: Kunihiko Kaneko
Publisher: Springer Science & Business Media
Total Pages: 284
Release: 2011-06-28
Genre: Mathematics
ISBN: 3642568610

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This book, the first in a series on this subject, is the outcome of many years of efforts to give a new all-encompassing approach to complex systems in nature based on chaos theory. While maintaining a high level of rigor, the authors avoid an overly complicated mathematical apparatus, making the book accessible to a wider interdisciplinary readership.


Bifurcations And Chaos In Piecewise-smooth Dynamical Systems: Applications To Power Converters, Relay And Pulse-width Modulated Control Systems, And Human Decision-making Behavior

Bifurcations And Chaos In Piecewise-smooth Dynamical Systems: Applications To Power Converters, Relay And Pulse-width Modulated Control Systems, And Human Decision-making Behavior
Author: Zhanybai T Zhusubaliyev
Publisher: World Scientific
Total Pages: 377
Release: 2003-06-25
Genre: Science
ISBN: 9814485632

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Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description.This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory.The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general.


Smart Applications with Advanced Machine Learning and Human-Centred Problem Design

Smart Applications with Advanced Machine Learning and Human-Centred Problem Design
Author: D. Jude Hemanth
Publisher: Springer Nature
Total Pages: 801
Release: 2023-01-01
Genre: Technology & Engineering
ISBN: 303109753X

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This book brings together the most recent, quality research papers accepted and presented in the 3rd International Conference on Artificial Intelligence and Applied Mathematics in Engineering (ICAIAME 2021) held in Antalya, Turkey between 1-3 October 2021. Objective of the content is to provide important and innovative research for developments-improvements within different engineering fields, which are highly interested in using artificial intelligence and applied mathematics. As a collection of the outputs from the ICAIAME 2021, the book is specifically considering research outcomes including advanced use of machine learning and careful problem designs on human-centred aspects. In this context, it aims to provide recent applications for real-world improvements making life easier and more sustainable for especially humans. The book targets the researchers, degree students, and practitioners from both academia and the industry.


Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption

Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption
Author: Banerjee, Santo
Publisher: IGI Global
Total Pages: 596
Release: 2010-07-31
Genre: Computers
ISBN: 1615207384

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Over the past few decades, there has been numerous research studies conducted involving the synchronization of dynamical systems with several theoretical studies and laboratory experimentations demonstrating the pivotal role for this phenomenon in secure communications. Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption explores the combination of ordinary and time delayed systems and their applications in cryptographic encoding. This innovative publication presents a critical mass of the most sought after research, providing relevant theoretical frameworks and the latest empirical research findings in this area of study.


Simulation Gaming. Applications for Sustainable Cities and Smart Infrastructures

Simulation Gaming. Applications for Sustainable Cities and Smart Infrastructures
Author: Heide Karen Lukosch
Publisher: Springer
Total Pages: 201
Release: 2018-05-25
Genre: Computers
ISBN: 3319919024

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This book constitutes the refereed post-conference proceedings of the 48th International Simulation and Gaming Association Conference, ISAGA 2018, held in Delft, The Netherlands, in July 2018. The 19 revised full papers included in the volume were carefully reviewed and selected from 27 submissions. The contributions to this book range from design thinking related to simulation gaming, the analysis of the consequences of design choices in games, to games for decision making, examples of games for business, climate change, maritime spatial planning, sustainable city development, supply chain, and much more.


Chaotic Oscillators

Chaotic Oscillators
Author: Tomasz Kapitaniak
Publisher: World Scientific
Total Pages: 672
Release: 1992
Genre: Science
ISBN: 9789810206536

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This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.


Theory and Applications of Coupled Map Lattices

Theory and Applications of Coupled Map Lattices
Author: K. Kaneko
Publisher:
Total Pages: 208
Release: 1993-04-13
Genre: Mathematics
ISBN:

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The technique of the coupled map lattice (CML) is a rapidly developing field in nonlinear dynamics at present. This book gives a fully illustrative overview of current research in the field. A CML is a dynamical system in which there is some interaction ('coupled') between continuous state elements, which evolve in discrete time ('map') and are distributed on a discrete space ('lattice'). This book investigates both the theoretical aspects and applications of CMLs to spatially extended systems in nonlinear dynamical systems.


Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals
Author: Marat Akhmet
Publisher: Springer Nature
Total Pages: 226
Release: 2020-01-01
Genre: Mathematics
ISBN: 3030358542

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The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is now placed on the line of oscillations, and therefore, it is a subject of study in the framework of the theories of dynamical systems and differential equations, as in this book. The techniques introduced in the book make it possible to develop continuous and discrete dynamics which admit fractals as points of trajectories as well as orbits themselves. To provide strong arguments for the genericity of chaos in the real and abstract universe, the concept of abstract similarity is suggested.


Cryptanalysis-Driven Chaotic Image Encryption and Its Applications

Cryptanalysis-Driven Chaotic Image Encryption and Its Applications
Author: Heping Wen
Publisher: Scientific Research Publishing, Inc. USA
Total Pages: 202
Release: 2022-12-27
Genre: Antiques & Collectibles
ISBN: 1649975457

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Chaos cryptography is an inter discipline that combines chaotic theory and cryptography, which includes chaotic secure communication system, chaotic symmetric cipher, chaotic public key cipher and chaotic hash function [1]. In this academic monograph, the main object of our discussion is symmetric chaotic cryptography. The block diagram of symmetrical encryption and communication transmission is shown as Figure 1 [2]. The encryption process is ( , ) EK =CP, in which P means plaintext while K means secret key and () E ? represents encryption function. Alice sends the ciphertext which has been encrypted to Bob, the receiving end. Bob makes use of the same secret key which is sent by a secure channel to decrypt and recover the original plaintext ( , ) DK =PC, in which ()D ? is the decryption function. For an attacker Oscar, the ciphertext C is available but the secret key for the secure channel transmission is not known.