Advances In Nonlinear Dynamics Methods And Applications

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Advances in Nonlinear Dynamics: Methods and Applications

Anil K. Bajaj,Steven W. Shaw
Advances in Nonlinear Dynamics Methods and Applications Book PDF

Author : Anil K. Bajaj,Steven W. Shaw
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401103671

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Advances in Nonlinear Dynamics: Methods and Applications by Anil K. Bajaj,Steven W. Shaw Pdf

This is the second and final issue of the collection of papers that were contributed by friends and colleagues of (Late) Professor P. R. "Pat" Sethna of the University of Minnesota to commemorate his 70th birthday on May 26, 1993. The first set of contributions was published in Nonlinear Dynamics as the last issue (no. 6) of Vol. 4 in 1993. As circumstances would have it, Professor Sethna was diagnosed with cancer in the fall of 1992 and, after an extended battle with the disease, he passed away on November 4, 1993, just a few days before the first set of contributed papers appeared in print. It is gratifying to report that the organizers of these vi Foreword commemorative issues in Nonlinear Dynamics were able to present to Professor Sethna, on the occasion of his 70th birthday, complete details of the planned commemorative issues. This second set of contributions is dedicated, in memoriam, to Professor P. R. Sethna. As many of you are well aware, Professor Sethna was an active researcher in the field of nonlinear vibrations and dynamics for nearly forty years, making many fundamental and significant contributions to both the theoretical and applied aspects of this field. He was also recognized for his outstanding leadership and administrative abilities, amply demonstrated through his position as the Head of the Department of Aerospace Engineering and Mechanics at the University of Minnesota for twenty-six years (1966-1992).

Advances in Nonlinear Dynamics

S. Sivasundaram,A.A. Martynyuk
Advances in Nonlinear Dynamics Book PDF

Author : S. Sivasundaram,A.A. Martynyuk
Publisher : Taylor & Francis
Page : 404 pages
File Size : 43,5 Mb
Release : 2023-01-06
Category : Technology & Engineering
ISBN : 9781351468299

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Advances in Nonlinear Dynamics by S. Sivasundaram,A.A. Martynyuk Pdf

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.

Recent Advances in Nonlinear Dynamics and Synchronization

Kyandoghere Kyamakya,Wolfgang Mathis,Ruedi Stoop,Jean Chamberlain Chedjou,Zhong Li
Recent Advances in Nonlinear Dynamics and Synchronization Book PDF

Author : Kyandoghere Kyamakya,Wolfgang Mathis,Ruedi Stoop,Jean Chamberlain Chedjou,Zhong Li
Publisher : Springer
Page : 367 pages
File Size : 49,5 Mb
Release : 2017-07-25
Category : Technology & Engineering
ISBN : 9783319589961

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Recent Advances in Nonlinear Dynamics and Synchronization by Kyandoghere Kyamakya,Wolfgang Mathis,Ruedi Stoop,Jean Chamberlain Chedjou,Zhong Li Pdf

This book focuses on modelling and simulation, control and optimization, signal processing, and forecasting in selected nonlinear dynamical systems, presenting both literature reviews and novel concepts. It develops analytical or numerical approaches, which are simple to use, robust, stable, flexible and universally applicable to the analysis of complex nonlinear dynamical systems. As such it addresses key challenges are addressed, e.g. efficient handling of time-varying dynamics, efficient design, faster numerical computations, robustness, stability and convergence of algorithms. The book provides a series of contributions discussing either the design or analysis of complex systems in sciences and engineering, and the concepts developed involve nonlinear dynamics, synchronization, optimization, machine learning, and forecasting. Both theoretical and practical aspects of diverse areas are investigated, specifically neurocomputing, transportation engineering, theoretical electrical engineering, signal processing, communications engineering, and computational intelligence. It is a valuable resource for students and researchers interested in nonlinear dynamics and synchronization with applications in selected areas.

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 : 54,8 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.

Advances in Nonlinear Dynamics

Walter Lacarbonara,Balakumar Balachandran,Michael J. Leamy,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Advances in Nonlinear Dynamics Book PDF

Author : Walter Lacarbonara,Balakumar Balachandran,Michael J. Leamy,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan
Publisher : Springer Nature
Page : 891 pages
File Size : 54,5 Mb
Release : 2022-03-18
Category : Technology & Engineering
ISBN : 9783030811624

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Advances in Nonlinear Dynamics by Walter Lacarbonara,Balakumar Balachandran,Michael J. Leamy,Jun Ma,J. A. Tenreiro Machado,Gabor Stepan Pdf

This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions Mechanical systems and structures Computational nonlinear dynamics Analytical techniques Bifurcation and dynamic instability Rotating systems Modal interactions and energy transfer Nonsmooth systems

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 : 48,8 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: Advances and Perspectives

Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura
Nonlinear Dynamics and Chaos Advances and Perspectives Book PDF

Author : Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura
Publisher : Springer
Page : 300 pages
File Size : 52,5 Mb
Release : 2010-05-17
Category : Science
ISBN : 9783642046292

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Nonlinear Dynamics and Chaos: Advances and Perspectives by Marco Thiel,Jürgen Kurths,M. Carmen Romano,György Károlyi,Alessandro Moura Pdf

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled “How did you get into Chaos?”) is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi’s 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso’s honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Advances in Nonlinear Dynamics and Control: A Report from Russia

Alexander B. Kurzhanski
Advances in Nonlinear Dynamics and Control A Report from Russia Book PDF

Author : Alexander B. Kurzhanski
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461203490

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Advances in Nonlinear Dynamics and Control: A Report from Russia by Alexander B. Kurzhanski Pdf

The purpose of this volume is to present a coherent collection of overviews of recent Russian research in Control Theory and Nonlinear Dynamics written by active investigators in these fields. It is needless to say that the contribution of the scientists of the former Soviet Union to the development of nonlinear dynamics and control was significant and that their scientific schools and research community have highly evolved points of view, accents and depth which complemented, enhanced and sometimes inspired research directions in the West. With scientific exchange strongly increasing, there is still a consider able number of Eastern publications unknown to the Western community. We have therefore encouraged the authors to produce extended bibliogra phies in their papers. The particular emphasis of this volume is on the treatment of uncer tain systems in a deterministic setting-a field highly developed in the former Soviet Union and actively investigated in the West. The topics are concentrated around the three main branches of un certain dynamics which are the theory of Differential Games, the set membership approach to Evolution, Estimation and Control and the the ory of Robust Stabilization. The application of these techniques to non linear systems as well as the global optimization of the latter are also among the issues treated in this volume.

Complex and Chaotic Nonlinear Dynamics

Thierry Vialar
Complex and Chaotic Nonlinear Dynamics Book PDF

Author : Thierry Vialar
Publisher : Springer Science & Business Media
Page : 752 pages
File Size : 47,8 Mb
Release : 2009-04-26
Category : Business & Economics
ISBN : 9783540859789

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Complex and Chaotic Nonlinear Dynamics by Thierry Vialar Pdf

Complex dynamics constitute a growing and increasingly important area as they offer a strong potential to explain and formalize natural, physical, financial and economic phenomena. This book pursues the ambitious goal to bring together an extensive body of knowledge regarding complex dynamics from various academic disciplines. Beyond its focus on economics and finance, including for instance the evolution of macroeconomic growth models towards nonlinear structures as well as signal processing applications to stock markets, fundamental parts of the book are devoted to the use of nonlinear dynamics in mathematics, statistics, signal theory and processing. Numerous examples and applications, almost 700 illustrations and numerical simulations based on the use of Matlab make the book an essential reference for researchers and students from many different disciplines who are interested in the nonlinear field. An appendix recapitulates the basic mathematical concepts required to use the book.

Nonlinear Dynamics of Continuous Elastic Systems

Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis
Nonlinear Dynamics of Continuous Elastic Systems Book PDF

Author : Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 55,7 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662089927

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Nonlinear Dynamics of Continuous Elastic Systems by Jan Awrejcewicz,Vadim Anatolevich Krys'ko,Alexander F. Vakakis Pdf

This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.

Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii)

Leon O Chua,Leonid P Shilnikov,Andrey L Shilnikov,Dmitry V Turaev
Methods Of Qualitative Theory In Nonlinear Dynamics Part Ii Book PDF

Author : Leon O Chua,Leonid P Shilnikov,Andrey L Shilnikov,Dmitry V Turaev
Publisher : World Scientific
Page : 591 pages
File Size : 43,8 Mb
Release : 2001-09-27
Category : Science
ISBN : 9789814494298

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Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii) by Leon O Chua,Leonid P Shilnikov,Andrey L Shilnikov,Dmitry V Turaev Pdf

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form.In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.

Nonlinear Dynamics

Richard A. Heath
Nonlinear Dynamics Book PDF

Author : Richard A. Heath
Publisher : Psychology Press
Page : 410 pages
File Size : 46,6 Mb
Release : 2014-04-04
Category : Psychology
ISBN : 9781135670542

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Nonlinear Dynamics by Richard A. Heath Pdf

Additional Resource Materials Human behavior would not be interesting to us if it remained the same from one moment to the next. Moreover, we tend to be sensitive to changes in people's behavior, especially when such change impacts on our own, and other's, behavior. This book describes a variety of techniques for investigating change in behavior. It employs conventional time series methods, as well as recently developed methodology using nonlinear dynamics, including chaos, a term that is not easy to define, nor to confirm. Although nonlinear methods are being used more frequently in psychology, a comprehensive coverage of methods, theory and applications, with a particular focus on human behavior, is needed. Between these covers, the reader is led through various procedures for linear and nonlinear time series analysis, including some novel procedures that allow subtle temporal aspects of human cognition to be detected. Analyses of reaction times, heart-rate, psychomotor skill, decision making, and EEG are supplemented by a contemporary review of recent dynamical research in developmental psychology, psychopathology, and human cognitive processes. A consideration of nonlinear dynamics assists our understanding of deep issues such as: Why is our short-term memory capacity limited? Why do chronic disorders, and also cognitive development, progress through stage-like transitions? Why do people make irrational decisions? This book will be of particular interest to researchers, practitioners, and advanced students in a variety of areas in psychology, particularly in human experimental and physiological psychology. Data analyses are performed using the latest nonlinear dynamics computer packages. A comprehensive WWW resource of software and supplementary information is provided to assist the reader's understanding of the novel, and potentially revolutionary, procedures described in the book.

Fluid Mechanics and Heat Transfer

Kaveh Hariri Asli,Soltan Ali Ogli Aliyev
Fluid Mechanics and Heat Transfer Book PDF

Author : Kaveh Hariri Asli,Soltan Ali Ogli Aliyev
Publisher : CRC Press
Page : 250 pages
File Size : 47,7 Mb
Release : 2015-06-10
Category : Science
ISBN : 9781498707695

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Fluid Mechanics and Heat Transfer by Kaveh Hariri Asli,Soltan Ali Ogli Aliyev Pdf

This valuable new book focuses on new methods and techniques in fluid mechanics and heat transfer in mechanical engineering. The book includes the research of the authors on the development of optimal mathematical models and also uses modern computer technology and mathematical methods for the analysis of nonlinear dynamic processes. It covers technologies applicable to both fluid mechanics and heat transfer problems, which include a combination of physical, mechanical, and thermal techniques. The authors develop a new method for the calculation of mathematical models by computer technology, using parametric modeling techniques and multiple analyses for mechanical system. The information in this book is intended to help reduce the risk of system damage or failure. Included are sidebar discussions, which contain information and facts about each subject area that help to emphasize important points to remember.

Applied Nonlinear Dynamics

Ali H. Nayfeh,Balakumar Balachandran
Applied Nonlinear Dynamics Book PDF

Author : Ali H. Nayfeh,Balakumar Balachandran
Publisher : John Wiley & Sons
Page : 700 pages
File Size : 44,8 Mb
Release : 2008-11-20
Category : Science
ISBN : 9783527617555

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Applied Nonlinear Dynamics by Ali H. Nayfeh,Balakumar Balachandran Pdf

A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

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 : 44,7 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).