Chaos And Nonlinear Dynamics

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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 : 41,5 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.

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 : 54,9 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.

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 : 49,7 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

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 : 45,6 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.

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 : 43,7 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 and Quantum Chaos

Sandro Wimberger
Nonlinear Dynamics and Quantum Chaos Book PDF

Author : Sandro Wimberger
Publisher : Springer
Page : 206 pages
File Size : 46,5 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

Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Nonlinear Dynamics Book PDF

Author : Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Publisher : Springer Science & Business Media
Page : 628 pages
File Size : 49,8 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 Complexity

Dimitri Volchenkov
Nonlinear Dynamics Chaos and Complexity Book PDF

Author : Dimitri Volchenkov
Publisher : Springer Nature
Page : 198 pages
File Size : 48,6 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).

Chaos and Nonlinear Dynamics

Robert C. Hilborn
Chaos and Nonlinear Dynamics Book PDF

Author : Robert C. Hilborn
Publisher : Oxford University Press, USA
Page : 720 pages
File Size : 45,8 Mb
Release : 1994
Category : Chaotic behavior in systems
ISBN : UOM:39076001460794

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Chaos and Nonlinear Dynamics by Robert C. Hilborn Pdf

Mathematics of Computing -- Miscellaneous.

Nonlinear Dynamics of Chaotic and Stochastic Systems

Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier
Nonlinear Dynamics of Chaotic and Stochastic Systems Book PDF

Author : Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 42,9 Mb
Release : 2007-07-20
Category : Science
ISBN : 9783540381686

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Nonlinear Dynamics of Chaotic and Stochastic Systems by Vadim S. Anishchenko,Vladimir Astakhov,Alexander Neiman,Tatjana Vadivasova,Lutz Schimansky-Geier Pdf

We present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.

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 : 40,7 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.

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 : 51,8 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

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 : 45,7 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.

Chaos and Complexity Theory for Management: Nonlinear Dynamics

Banerjee, Santo
Chaos and Complexity Theory for Management Nonlinear Dynamics Book PDF

Author : Banerjee, Santo
Publisher : IGI Global
Page : 449 pages
File Size : 51,6 Mb
Release : 2012-11-30
Category : Business & Economics
ISBN : 9781466625105

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Chaos and Complexity Theory for Management: Nonlinear Dynamics by Banerjee, Santo Pdf

Although chaos theory refers to the existence between seemingly random events, it has been gaining the attention of science, technology and managements fields. The shift from traditional procedures to the dynamics of chaos and complexity theory has resulted in a new element of complexity thinking, allowing for a greater capability for analyzing and understanding key business processes. Chaos and Complexity Theory for Management: Nonlinear Dynamics explores chaos and complexity theory and its relationship with the understanding of natural chaos in the business environment. Utilizing these theories aids in comprehending the development of businesses as a complex adaptive system.

Digital Communications Using Chaos and Nonlinear Dynamics

Jia-Ming Liu,Lev S. Tsimring
Digital Communications Using Chaos and Nonlinear Dynamics Book PDF

Author : Jia-Ming Liu,Lev S. Tsimring
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 43,8 Mb
Release : 2006-11-22
Category : Science
ISBN : 9780387297880

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Digital Communications Using Chaos and Nonlinear Dynamics by Jia-Ming Liu,Lev S. Tsimring Pdf

This book provides a summary of the research conducted at UCLA, Stanford University, and UCSD over the last ?ve years in the area of nonlinear dyn- ics and chaos as applied to digital communications. At ?rst blush, the term “chaotic communications” seems like an oxymoron; how could something as precise and deterministic as digital communications be chaotic? But as this book will demonstrate, the application of chaos and nonlinear dynamicstocommunicationsprovidesmanypromisingnewdirectionsinareas of coding, nonlinear optical communications, and ultra-wideband commu- cations. The eleven chapters of the book summarize many of the promising new approaches that have been developed, and point the way to new research directions in this ?eld. Digital communications techniques have been continuously developed and re?ned for the past ?fty years to the point where today they form the heart of a multi-hundred billion dollar per year industry employing hundreds of thousands of people on a worldwide basis. There is a continuing need for transmission and reception of digital signals at higher and higher data rates. There are a variety of physical limits that place an upper limit on these data rates, and so the question naturally arises: are there alternative communi- tion techniques that can overcome some of these limitations? Most digital communications today is carried out using electronic devices that are essentially “linear,” and linear system theory has been used to c- tinually re?ne their performance. In many cases, inherently nonlinear devices are linearized in order to achieve a certain level of linear system performance.