Domain Structured Chaos And Applications


Domain Structured Chaos And Applications
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Domain Structured Chaos And Applications


Domain Structured Chaos And Applications
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Author : Marat Akhmet
language : en
Publisher: IOP Publishing Limited
Release Date : 2021-08-04

Domain Structured Chaos And Applications written by Marat Akhmet and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-04 with Science categories.


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
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Author : Kunihiko Kaneko
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28

Complex Systems Chaos And Beyond written by Kunihiko Kaneko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Mathematics categories.


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
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Author : Zhanybai T Zhusubaliyev
language : en
Publisher: World Scientific
Release Date : 2003-06-25

Bifurcations And Chaos In Piecewise Smooth Dynamical Systems Applications To Power Converters Relay And Pulse Width Modulated Control Systems And Human Decision Making Behavior written by Zhanybai T Zhusubaliyev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-25 with Science categories.


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.



Applications Of Chaos And Nonlinear Dynamics In Science And Engineering Vol 4


Applications Of Chaos And Nonlinear Dynamics In Science And Engineering Vol 4
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Author : Santo Banerjee
language : en
Publisher: Springer
Release Date : 2015-05-04

Applications Of Chaos And Nonlinear Dynamics In Science And Engineering Vol 4 written by Santo Banerjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-04 with Science categories.


Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.



Smart Applications With Advanced Machine Learning And Human Centred Problem Design


Smart Applications With Advanced Machine Learning And Human Centred Problem Design
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Author : D. Jude Hemanth
language : en
Publisher: Springer Nature
Release Date : 2023-01-01

Smart Applications With Advanced Machine Learning And Human Centred Problem Design written by D. Jude Hemanth and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Technology & Engineering categories.


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
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Author : Banerjee, Santo
language : en
Publisher: IGI Global
Release Date : 2010-07-31

Chaos Synchronization And Cryptography For Secure Communications Applications For Encryption written by Banerjee, Santo and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-31 with Computers categories.


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.



Chaotic Systems


Chaotic Systems
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Author : Christos H. Skiadas
language : en
Publisher: World Scientific
Release Date : 2010

Chaotic Systems written by Christos H. Skiadas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.


This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 1-5, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation. The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.



Simulation Gaming Applications For Sustainable Cities And Smart Infrastructures


Simulation Gaming Applications For Sustainable Cities And Smart Infrastructures
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Author : Heide Karen Lukosch
language : en
Publisher: Springer
Release Date : 2018-05-25

Simulation Gaming Applications For Sustainable Cities And Smart Infrastructures written by Heide Karen Lukosch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-25 with Computers categories.


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
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Author : Tomasz Kapitaniak
language : en
Publisher: World Scientific
Release Date : 1992

Chaotic Oscillators written by Tomasz Kapitaniak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.


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
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Author : K. Kaneko
language : en
Publisher:
Release Date : 1993-04-13

Theory And Applications Of Coupled Map Lattices written by K. Kaneko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-13 with Mathematics categories.


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.