A Survey Of Nonlinear Dynamics
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A Survey Of Nonlinear Dynamics
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Author : Richard Lee Ingraham
language : en
Publisher: World Scientific
Release Date : 1992
A Survey Of Nonlinear Dynamics written by Richard Lee Ingraham 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 book is intended to give a survey of the whole field of nonlinear dynamics (or ?chaos theory?) in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of ?chaos? in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments.Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years.
A Survey Of Nonlinear Dynamics
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Author : Richard Lee Ingraham
language : en
Publisher:
Release Date : 1991
A Survey Of Nonlinear Dynamics written by Richard Lee Ingraham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Chaotic behavior in systems categories.
Nonlinear Dynamics
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Author : Roussel Marc R (author)
language : en
Publisher:
Release Date : 1901
Nonlinear Dynamics written by Roussel Marc R (author) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with categories.
Nonlinear Dynamics
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Author : Marc R Roussel
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-05-01
Nonlinear Dynamics written by Marc R Roussel and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-01 with Science categories.
This book uses a hands-on approach to nonlinear dynamics using commonly available software, including the free dynamical systems software Xppaut, Matlab (or its free cousin, Octave) and the Maple symbolic algebra system. Detailed instructions for various common procedures, including bifurcation analysis using the version of AUTO embedded in Xppaut, are provided. This book also provides a survey that can be taught in a single academic term covering a greater variety of dynamical systems (discrete versus continuous time, finite versus infinite-dimensional, dissipative versus conservative) than is normally seen in introductory texts. Numerical computation and linear stability analysis are used as unifying themes throughout the book. Despite the emphasis on computer calculations, theory is not neglected, and fundamental concepts from the field of nonlinear dynamics such as solution maps and invariant manifolds are presented.
Chaos And Nonlinear Dynamics
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Author : Robert C. Hilborn
language : en
Publisher:
Release Date : 2000
Chaos And Nonlinear Dynamics written by Robert C. Hilborn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.
Advances In Nonlinear Dynamics
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Author : S. Sivasundaram
language : en
Publisher: Taylor & Francis
Release Date : 2023-01-06
Advances In Nonlinear Dynamics written by S. Sivasundaram and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-06 with Technology & Engineering categories.
Dedicated to Professor S. Leela in recognition of her significant contribution to the field of nonlinear dynamics and differential equations, this text consists of 38 papers contributed by experts from 15 countries, together with a survey of Professor Leela's work. The first group of papers examines stability, the second process controls, and the third section contains papers on various topics, including solutions for new classes of systems of equations and boundary problems, and proofs of basic theorems. Many of the featured problems are associated with the ideas and methods proposed and developed by Professor Leela.
Nonlinear Dynamics And Time Series
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Author : Colleen D. Cutler
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Nonlinear Dynamics And Time Series written by Colleen D. Cutler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmuller spaces, including the Bers embedding and the Teichmuller curve. It isremarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmuller spaces from these lecture notes. This editionincludes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmuller spaces and provides many references to the vast literature on Teichmuller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these threenew chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings. This book is a collection of research and expository papers reflecting the interfacing of two fields: nonlinear dynamics (in the physiological and biological sciences) and statistics. It presents theproceedings of a four-day workshop entitled ``Nonlinear Dynamics and Time Series: Building a Bridge Between the Natural and Statistical Sciences'' held at the Centre de Recherches Mathematiques (CRM) in Montreal in July 1995. The goal of the workshop was to provide an exchange forum and to create a link between two diverse groups with a common interest in the analysis of nonlinear time series data. The editors and peer reviewers of this work have attempted to minimize the problems ofmaintaining communication between the different scientific fields. The result is a collection of interrelated papers that highlight current areas of research in statistics that might have particular applicability to nonlinear dynamics and new methodology and open data analysis problems in nonlinear dynamicsthat might find their way into the toolkits and research interests of statisticians. Features: A survey of state-of-the-art developments in nonlinear dynamics time series analysis with open statistical problems and areas for further research. Contributions by statisticians to understanding and improving modern techniques commonly associated with nonlinear time series analysis, such as surrogate data methods and estimation of local Lyapunov exponents. Starting point for both scientists andstatisticians who want to explore the field. Expositions that are readable to scientists outside the featured fields of specialization. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario,Canada).
A Survey Of Nonlinear Dynamics Chaos Theory
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Author : R L Ingraham
language : en
Publisher: World Scientific
Release Date : 1991-12-11
A Survey Of Nonlinear Dynamics Chaos Theory written by R L Ingraham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-11 with Science categories.
This book is intended to give a survey of the whole field of nonlinear dynamics (or “chaos theory”) in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of “chaos” in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments. Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years. Contents:Introductory RemarksFundamentals of Continuous Time SystemsDiscrete Time Systems: Iteration of MapsHamiltonian SystemsMeasures of ChaosRenormalization GroupPartial Differential EquationsExperimental Realizations of Nonlinear Dynamics Readership: Theoretical physicists, applied mathematicians, engineers and biologists in chaos research. keywords:Chaos Theory;Sensitive Dependence on Initial Conditions;Linear vs.Nonlinear;Continuous and Discrete Time Systems;Measures of Chaos;Renormalization Group;Chaos in Quantum Mechanics;Exact Definitions“This book gives a survey of the whole field of nonlinear dynamics (or “chaos theory”) in compressed form. The author states the key definitions and theorems carefully. The book is very short, but its content is comprehensive. This book makes it possible for the reader to understand the main ideas in nonlinear dynamics and to proceed to further research along the lines of the cited literature.”Si Ming Zhu Mathematical Reviews
Nonlinear Dynamics And Time Series
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Author : Colleen D. Cutler
language : en
Publisher: American Mathematical Soc.
Release Date :
Nonlinear Dynamics And Time Series written by Colleen D. Cutler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmuller spaces, including the Bers embedding and the Teichmuller curve. It isremarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmuller spaces from these lecture notes. This editionincludes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmuller spaces and provides many references to the vast literature on Teichmuller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these threenew chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings. This book is a collection of research and expository papers reflecting the interfacing of two fields: nonlinear dynamics (in the physiological and biological sciences) and statistics. It presents theproceedings of a four-day workshop entitled ''Nonlinear Dynamics and Time Series: Building a Bridge Between the Natural and Statistical Sciences'' held at the Centre de Recherches Mathematiques (CRM) in Montreal in July 1995. The goal of the workshop was to provide an exchange forum and to create a link between two diverse groups with a common interest in the analysis of nonlinear time series data. The editors and peer reviewers of this work have attempted to minimize the problems ofmaintaining communication between the different scientific fields. The result is a collection of interrelated papers that highlight current areas of research in statistics that might have particular applicability to nonlinear dynamics and new methodology and open data analysis problems in nonlinear dynamicsthat might find their way into the toolkits and research interests of statisticians. Features: A survey of state-of-the-art developments in nonlinear dynamics time series analysis with open statistical problems and areas for further research. Contributions by statisticians to understanding and improving modern techniques commonly associated with nonlinear time series analysis, such as surrogate data methods and estimation of local Lyapunov exponents. Starting point for both scientists andstatisticians who want to explore the field. Expositions that are readable to scientists outside the featured fields of specialization. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario,Canada).
Nonlinear Dynamics And Statistics
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Author : A. I. Mees
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-01-25
Nonlinear Dynamics And Statistics written by A. I. Mees 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 2001-01-25 with Business & Economics categories.
Recently, a great deal of progress has been made in the modeling and understanding of processes with nonlinear dynamics, even when only time series data are available. This is a state-of-the-art survey of the theory and methods used for nonlinear time series analysis. The chapters are written by leading researchers in nonlinear dynamics, statistics, probability, optimization, and systems theory and cover both theory and applications. Professionals, researchers, and students working in these fields will find this to be an indispensable resource. Copyright © Libri GmbH. All rights reserved.