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Elementary Symbolic Dynamics And Chaos In Dissipative Systems


Elementary Symbolic Dynamics And Chaos In Dissipative Systems
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Elementary Symbolic Dynamics And Chaos In Dissipative Systems


Elementary Symbolic Dynamics And Chaos In Dissipative Systems
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Author : Bai-Lin Hao
language : en
Publisher: World Scientific
Release Date : 1989

Elementary Symbolic Dynamics And Chaos In Dissipative Systems written by Bai-Lin Hao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


This book is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and various characteristics of the attractors, and written from the view-point of practical applications without going into formal mathematical rigour. The author used elementary mathematics and calculus, and relied on physical intuition whenever possible. Substantial attention is paid to numerical techniques in the study of chaos. Part of the book is based on the publications of Chinese researchers, including those of the author's collaborators.



Applied Symbolic Dynamics And Chaos Second Edition


Applied Symbolic Dynamics And Chaos Second Edition
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Author : Hao Bailin
language : en
Publisher: World Scientific
Release Date : 2018-05-11

Applied Symbolic Dynamics And Chaos Second Edition written by Hao Bailin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-11 with Science categories.


Symbolic dynamics is a coarse-grained description of dynamics. It has been a long-studied chapter of the mathematical theory of dynamical systems, but its abstract formulation has kept many practitioners of physical sciences and engineering from appreciating its simplicity, beauty, and power. At the same time, symbolic dynamics provides almost the only rigorous way to understand global systematics of periodic and, especially, chaotic motion in dynamical systems. In a sense, everyone who enters the field of chaotic dynamics should begin with the study of symbolic dynamics. However, this has not been an easy task for non-mathematicians. On one hand, the method of symbolic dynamics has been developed to such an extent that it may well become a practical tool in studying chaotic dynamics, both on computers and in laboratories. On the other hand, most of the existing literature on symbolic dynamics is mathematics-oriented. This book is an attempt at partially filling up this apparent gap by emphasizing the applied aspects of symbolic dynamics without mathematical rigor. Contents: Preface to the Second Edition Preface to the First Edition Introduction Symbolic Dynamics of Unimodal Maps Maps with Multiple Critical Points Symbolic Dynamics of Circle Maps Symbolic Dynamics of Two-Dimensional Maps Application to Ordinary Differential Equations Counting the Number of Periodic Orbits Symbolic Dynamics and Grammatical Complexity Symbolic Dynamics and Knot Theory Appendix References Index Readership: Researchers and students interested in chaotic dynamics. Keywords: Symbolic Dynamics;ChaosReview: Key Features: No previous knowledge of dynamical systems theory is required in order to read this book The revisions concern mainly the application to ordinary differential equations via constructing two-dimensional symbolic dynamics of the corresponding Poincare maps



Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems


Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems
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Author : Elhadj Zeraoulia
language : en
Publisher: World Scientific
Release Date : 2011

Frontiers In The Study Of Chaotic Dynamical Systems With Open Problems written by Elhadj Zeraoulia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.


This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.



Machine Learning


Machine Learning
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Author : Yagang Zhang
language : en
Publisher: BoD – Books on Demand
Release Date : 2010-02-01

Machine Learning written by Yagang Zhang and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-01 with Games & Activities categories.


Machine learning techniques have the potential of alleviating the complexity of knowledge acquisition. This book presents today’s state and development tendencies of machine learning. It is a multi-author book. Taking into account the large amount of knowledge about machine learning and practice presented in the book, it is divided into three major parts: Introduction, Machine Learning Theory and Applications. Part I focuses on the introduction to machine learning. The author also attempts to promote a new design of thinking machines and development philosophy. Considering the growing complexity and serious difficulties of information processing in machine learning, in Part II of the book, the theoretical foundations of machine learning are considered, and they mainly include self-organizing maps (SOMs), clustering, artificial neural networks, nonlinear control, fuzzy system and knowledge-based system (KBS). Part III contains selected applications of various machine learning approaches, from flight delays, network intrusion, immune system, ship design to CT and RNA target prediction. The book will be of interest to industrial engineers and scientists as well as academics who wish to pursue machine learning. The book is intended for both graduate and postgraduate students in fields such as computer science, cybernetics, system sciences, engineering, statistics, and social sciences, and as a reference for software professionals and practitioners.



Complexity And Nonlinearity In Cardiovascular Signals


Complexity And Nonlinearity In Cardiovascular Signals
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Author : Riccardo Barbieri
language : en
Publisher: Springer
Release Date : 2017-08-09

Complexity And Nonlinearity In Cardiovascular Signals written by Riccardo Barbieri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-09 with Medical categories.


This book reports on the latest advances in complex and nonlinear cardiovascular physiology aimed at obtaining reliable, effective markers for the assessment of heartbeat, respiratory, and blood pressure dynamics. The chapters describe in detail methods that have been previously defined in theoretical physics such as entropy, multifractal spectra, and Lyapunov exponents, contextualized within physiological dynamics of cardiovascular control, including autonomic nervous system activity. Additionally, the book discusses several application scenarios of these methods. The text critically reviews the current state-of-the-art research in the field that has led to the description of dedicated experimental protocols and ad-hoc models of complex physiology. This text is ideal for biomedical engineers, physiologists, and neuroscientists. This book also: Expertly reviews cutting-edge research, such as recent advances in measuring complexity, nonlinearity, and information-theoretic concepts applied to coupled dynamical systems Comprehensively describes applications of analytic technique to clinical scenarios such as heart failure, depression and mental disorders, atrial fibrillation, acute brain lesions, and more Broadens readers' understanding of cardiovascular signals, heart rate complexity, heart rate variability, and nonlinear analysis



Foundations Of Complex Systems


Foundations Of Complex Systems
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Author : G. Nicolis
language : en
Publisher: World Scientific
Release Date : 2007

Foundations Of Complex Systems written by G. Nicolis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


Complexity is emerging as a post-Newtonian paradigm for approaching a large body of phenomena of concern at the crossroads of physical, engineering, environmental, life and human sciences from a unifying point of view. This book outlines the foundations of modern complexity research as it arose from the cross-fertilization of ideas and tools from nonlinear science, statistical physics and numerical simulation. It is shown how these developments lead to an understanding, both qualitative and quantitative, of the complex systems encountered in nature and in everyday experience and, conversely, how natural complexity acts as a source of inspiration for progress at the fundamental level.



Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Wavelets Fuzzy Logic With C Java And Symbolic C Programs 2nd Edition


Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Wavelets Fuzzy Logic With C Java And Symbolic C Programs 2nd Edition
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Author : Willi-hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2002-12-30

Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Wavelets Fuzzy Logic With C Java And Symbolic C Programs 2nd Edition written by Willi-hans Steeb and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-30 with categories.


New Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 15 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 100 ready-to-run programs.The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing.



Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Support Vector Machine Wavelets Hidden Markov Models Fuzzy Logic With C Java And Symbolicc Programs 4th Edition


Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Support Vector Machine Wavelets Hidden Markov Models Fuzzy Logic With C Java And Symbolicc Programs 4th Edition
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Author : Willi-hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2008-06-17

Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Support Vector Machine Wavelets Hidden Markov Models Fuzzy Logic With C Java And Symbolicc Programs 4th Edition written by Willi-hans Steeb and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-17 with Science categories.


The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs.The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing, University of Johannesburg.



Encyclopedia Of Nonlinear Science


Encyclopedia Of Nonlinear Science
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Author : Alwyn Scott
language : en
Publisher: Routledge
Release Date : 2006-05-17

Encyclopedia Of Nonlinear Science written by Alwyn Scott and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-17 with Reference categories.


In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.



New Advances On Chaotic Intermittency And Its Applications


New Advances On Chaotic Intermittency And Its Applications
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Author : Sergio Elaskar
language : en
Publisher: Springer
Release Date : 2016-12-14

New Advances On Chaotic Intermittency And Its Applications written by Sergio Elaskar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-14 with Technology & Engineering categories.


One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.