Nonlinear Dynamics And Chaos

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Nonlinear Dynamics and Chaos

Steven H. Strogatz
Nonlinear Dynamics and Chaos Book PDF

Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 53,6 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear Dynamics and Chaos

Steven H. Strogatz
Nonlinear Dynamics and Chaos Book PDF

Author : Steven H. Strogatz
Publisher : Hachette UK
Page : 614 pages
File Size : 48,7 Mb
Release : 2014-08-26
Category : Mathematics
ISBN : 9780813349114

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Nonlinear Dynamics and Chaos by Steven H. Strogatz Pdf

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory. In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as the curiosities of visual perception and the tumultuous love dynamics in Gone With the Wind.

Nonlinear Dynamics and Quantum Chaos

Sandro Wimberger
Nonlinear Dynamics and Quantum Chaos Book PDF

Author : Sandro Wimberger
Publisher : Springer
Page : 206 pages
File Size : 51,8 Mb
Release : 2014-05-13
Category : Science
ISBN : 9783319063430

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Nonlinear Dynamics and Quantum Chaos by Sandro Wimberger Pdf

The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.

Nonlinear Dynamics and Chaos

J. M. T. Thompson,H. B. Stewart
Nonlinear Dynamics and Chaos Book PDF

Author : J. M. T. Thompson,H. B. Stewart
Publisher : John Wiley & Sons
Page : 492 pages
File Size : 40,8 Mb
Release : 2002-02-15
Category : Science
ISBN : 0471876844

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Nonlinear Dynamics and Chaos by J. M. T. Thompson,H. B. Stewart Pdf

Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.

Nonlinear Dynamics

Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Nonlinear Dynamics Book PDF

Author : Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Publisher : Springer Science & Business Media
Page : 628 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642556883

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Nonlinear Dynamics by Muthusamy Lakshmanan,Shanmuganathan Rajaseekar Pdf

This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Nonlinear Dynamics, Chaos, and Instability

William A. Brock,David Arthur Hsieh,Blake Dean LeBaron
Nonlinear Dynamics Chaos and Instability Book PDF

Author : William A. Brock,David Arthur Hsieh,Blake Dean LeBaron
Publisher : MIT Press
Page : 362 pages
File Size : 53,7 Mb
Release : 1991
Category : Business & Economics
ISBN : 0262023296

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Nonlinear Dynamics, Chaos, and Instability by William A. Brock,David Arthur Hsieh,Blake Dean LeBaron Pdf

Brock, Hsieh, and LeBaron show how the principles of chaos theory can be applied to such areas of economics and finance as the changing structure of stock returns and nonlinearity in foreign exchange.

Understanding Nonlinear Dynamics

Daniel Kaplan,Leon Glass
Understanding Nonlinear Dynamics Book PDF

Author : Daniel Kaplan,Leon Glass
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208235

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Understanding Nonlinear Dynamics by Daniel Kaplan,Leon Glass Pdf

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Stephen Wiggins
Introduction to Applied Nonlinear Dynamical Systems and Chaos Book PDF

Author : Stephen Wiggins
Publisher : Springer Science & Business Media
Page : 844 pages
File Size : 47,9 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387217499

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Introduction to Applied Nonlinear Dynamical Systems and Chaos by Stephen Wiggins Pdf

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik

Student Solutions Manual for Nonlinear Dynamics and Chaos, 2nd edition

Mitchal Dichter
Student Solutions Manual for Nonlinear Dynamics and Chaos 2nd edition Book PDF

Author : Mitchal Dichter
Publisher : CRC Press
Page : 305 pages
File Size : 50,5 Mb
Release : 2018-05-15
Category : Mathematics
ISBN : 9780429972638

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Student Solutions Manual for Nonlinear Dynamics and Chaos, 2nd edition by Mitchal Dichter Pdf

This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the second edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. The textbook and accompanying Student Solutions Manual are aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. Complete with graphs and worked-out solutions, this manual demonstrates techniques for students to analyze differential equations, bifurcations, chaos, fractals, and other subjects Strogatz explores in his popular book.

Nonlinear Dynamics and Chaos

J Hogan,A.R Krauskopf,Mario di Bernado,R. Eddie Wilson,Hinke. M Osinga,Martin. E Homer,Alan. R Champneys
Nonlinear Dynamics and Chaos Book PDF

Author : J Hogan,A.R Krauskopf,Mario di Bernado,R. Eddie Wilson,Hinke. M Osinga,Martin. E Homer,Alan. R Champneys
Publisher : CRC Press
Page : 376 pages
File Size : 42,5 Mb
Release : 2002-08-01
Category : Science
ISBN : 9781420033830

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Nonlinear Dynamics and Chaos by J Hogan,A.R Krauskopf,Mario di Bernado,R. Eddie Wilson,Hinke. M Osinga,Martin. E Homer,Alan. R Champneys Pdf

Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.

The Illustrated Dictionary of Nonlinear Dynamics and Chaos

Tomasz Kapitaniak,Steven R. Bishop
The Illustrated Dictionary of Nonlinear Dynamics and Chaos Book PDF

Author : Tomasz Kapitaniak,Steven R. Bishop
Publisher : Unknown
Page : 292 pages
File Size : 48,8 Mb
Release : 1999-03-03
Category : Mathematics
ISBN : STANFORD:36105028488976

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The Illustrated Dictionary of Nonlinear Dynamics and Chaos by Tomasz Kapitaniak,Steven R. Bishop Pdf

The study of nonlinear dynamics is one of the most active fields in modern science. It reaches across the whole range of scientific study, and is applied in fields as diverse as physics, engineering, biology, economics and medicine. However, the mathematical language used to describe nonlinear dynamics, and the proliferation of new terminology, can make the use of nonlinear dynamics a daunting task to the non-specialist. In addition,the simultaneous growth in the use of nonlinear dynamics across different fields, and the cross-fertilization of ideas from different disciplines, mean that names and methods used and developed in one field may be altered when 're-discovered' in a different context, making understanding the literature a difficult and time-consuming task. The Illustrated Dictionary of Nonlinear Dynamics and Chaos addresses these problems. It presents, in an alphabetical format, the key terms, theorems and equations which arise in the study of nonlinear dynamics. New mathematical ideas are described and explained with examples and, where appropriate, illustrations are included to aid clarification and understanding. For some entries, the descriptions are self-contained, but should more detail be required, references are included for further reading. Where alternative terms are used for a single concept, an entry is placed under the name in most common usage, with cross-references given under other names. The Illustrated Dictionary of Nonlinear Dynamics and Chaos is an invaluable reference source for all those who use nonlinear dynamics in their research, whether they are newcomers to the field who need help to understand the literature, or more experienced researchers who need a concise and handy reference.

Chaos and Integrability in Nonlinear Dynamics

Michael Tabor
Chaos and Integrability in Nonlinear Dynamics Book PDF

Author : Michael Tabor
Publisher : Wiley-Interscience
Page : 392 pages
File Size : 47,7 Mb
Release : 1989-01-18
Category : Mathematics
ISBN : UOM:39015015760393

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Chaos and Integrability in Nonlinear Dynamics by Michael Tabor Pdf

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.

Nonlinear Dynamics, Chaos, and Complexity

Dimitri Volchenkov
Nonlinear Dynamics Chaos and Complexity Book PDF

Author : Dimitri Volchenkov
Publisher : Springer Nature
Page : 198 pages
File Size : 44,9 Mb
Release : 2020-12-14
Category : Mathematics
ISBN : 9789811590344

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Nonlinear Dynamics, Chaos, and Complexity by Dimitri Volchenkov Pdf

This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).

Applications of Chaos and Nonlinear Dynamics in Engineering -

Santo Banerjee,Mala Mitra,Lamberto Rondoni
Applications of Chaos and Nonlinear Dynamics in Engineering Book PDF

Author : Santo Banerjee,Mala Mitra,Lamberto Rondoni
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 46,8 Mb
Release : 2011-09-10
Category : Technology & Engineering
ISBN : 9783642219214

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Applications of Chaos and Nonlinear Dynamics in Engineering - by Santo Banerjee,Mala Mitra,Lamberto Rondoni Pdf

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. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). 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

An Exploration of Dynamical Systems and Chaos

John H. Argyris,Gunter Faust,Maria Haase,Rudolf Friedrich
An Exploration of Dynamical Systems and Chaos Book PDF

Author : John H. Argyris,Gunter Faust,Maria Haase,Rudolf Friedrich
Publisher : Springer
Page : 865 pages
File Size : 47,8 Mb
Release : 2015-04-24
Category : Technology & Engineering
ISBN : 9783662460429

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An Exploration of Dynamical Systems and Chaos by John H. Argyris,Gunter Faust,Maria Haase,Rudolf Friedrich Pdf

This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany