Topics In Nonlinear Dynamics

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Topics in Nonlinear Dynamics, Volume 1

Gaetan Kerschen,Douglas Adams,Alex Carrella
Topics in Nonlinear Dynamics Volume 1 Book PDF

Author : Gaetan Kerschen,Douglas Adams,Alex Carrella
Publisher : Springer
Page : 0 pages
File Size : 49,9 Mb
Release : 2013-05-24
Category : Technology & Engineering
ISBN : 1461465699

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Topics in Nonlinear Dynamics, Volume 1 by Gaetan Kerschen,Douglas Adams,Alex Carrella Pdf

Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity

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 : 44,6 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.

Topics in Nonlinear Dynamics

Erik Mosekilde
Topics in Nonlinear Dynamics Book PDF

Author : Erik Mosekilde
Publisher : World Scientific
Page : 396 pages
File Size : 52,7 Mb
Release : 2003-03-20
Category : Science
ISBN : 9812382771

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Topics in Nonlinear Dynamics by Erik Mosekilde Pdf

Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.

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 : 51,9 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.

Nonlinear Dynamics

H.G Solari,M.A Natiello,G.B Mindlin
Nonlinear Dynamics Book PDF

Author : H.G Solari,M.A Natiello,G.B Mindlin
Publisher : CRC Press
Page : 374 pages
File Size : 49,7 Mb
Release : 1996-01-01
Category : Science
ISBN : 0750303808

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Nonlinear Dynamics by H.G Solari,M.A Natiello,G.B Mindlin Pdf

Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.

Topics in Nonlinear Time Series Analysis

Andreas Galka
Topics in Nonlinear Time Series Analysis Book PDF

Author : Andreas Galka
Publisher : World Scientific
Page : 360 pages
File Size : 41,6 Mb
Release : 2000-02-18
Category : Science
ISBN : 9789814493925

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Topics in Nonlinear Time Series Analysis by Andreas Galka Pdf

This book provides a thorough review of a class of powerful algorithms for the numerical analysis of complex time series data which were obtained from dynamical systems. These algorithms are based on the concept of state space representations of the underlying dynamics, as introduced by nonlinear dynamics. In particular, current algorithms for state space reconstruction, correlation dimension estimation, testing for determinism and surrogate data testing are presented — algorithms which have been playing a central role in the investigation of deterministic chaos and related phenomena since 1980. Special emphasis is given to the much-disputed issue whether these algorithms can be successfully employed for the analysis of the human electroencephalogram. Contents:Dynamical Systems, Time Series and AttractorsLinear MethodsState Space Reconstruction: Theoretical FoundationsState Space Reconstruction: Practical ApplicationDimensions: Basic DefinitionsLyapunov Exponents and EntropiesNumerical Estimation of the Correlation DimensionSources of Error and Data Set Size RequirementsMonte Carlo Analysis of Dimension EstimationSurrogate Data TestsDimension Analysis of the Human EEGTesting for Determinism in Time Series Readership: Graduates and scientists in physics, applied mathematics, neurology, theoretical biology, economics, meteorology and neuroinformatics. Keywords:Time Series Analysis;Nonlinear Dynamics;Fractal Dimension;Correlation Dimension;Chaos;Electroencephalogram;EEG;Determinism;Strange Attractor;Embedding;Attractor Reconstruction;Surrogate DataReviews: “The book is pleasantly written and makes for easy reading. It is informative for anyone with a sufficiently deep knowledge of nonlinear dynamics.” Mathematical Reviews

Nonlinear Dynamics

George Datseris,Ulrich Parlitz
Nonlinear Dynamics Book PDF

Author : George Datseris,Ulrich Parlitz
Publisher : Springer Nature
Page : 243 pages
File Size : 51,7 Mb
Release : 2022-03-13
Category : Science
ISBN : 9783030910327

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Nonlinear Dynamics by George Datseris,Ulrich Parlitz Pdf

This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.

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 : 53,5 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.

Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering

Kyandoghere Kyamakya,Wolfgang A. Halang,Wolfgang Mathis,Jean Chamberlain Chedjou,Zhong Li
Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering Book PDF

Author : Kyandoghere Kyamakya,Wolfgang A. Halang,Wolfgang Mathis,Jean Chamberlain Chedjou,Zhong Li
Publisher : Springer
Page : 481 pages
File Size : 42,6 Mb
Release : 2013-04-02
Category : Technology & Engineering
ISBN : 9783642377815

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Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering by Kyandoghere Kyamakya,Wolfgang A. Halang,Wolfgang Mathis,Jean Chamberlain Chedjou,Zhong Li Pdf

This book contains a collection of recent advanced contributions in the field of nonlinear dynamics and synchronization, including selected applications in the area of theoretical electrical engineering. The present book is divided into twenty-one chapters grouped in five parts. The first part focuses on theoretical issues related to chaos and synchronization and their potential applications in mechanics, transportation, communication and security. The second part handles dynamic systems modelling and simulation with special applications to real physical systems and phenomena. The third part discusses some fundamentals of electromagnetics (EM) and addresses the modelling and simulation in some real physical electromagnetic scenarios. The fourth part mainly addresses stability concerns. Finally, the last part assembles some sample applications in the area of optimization, data mining, pattern recognition and image processing.

Topics in Nonlinear Dynamics with Computer Algebra

R.H. Rand
Topics in Nonlinear Dynamics with Computer Algebra Book PDF

Author : R.H. Rand
Publisher : CRC Press
Page : 244 pages
File Size : 48,6 Mb
Release : 1994-04-14
Category : Mathematics
ISBN : 2884491139

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Topics in Nonlinear Dynamics with Computer Algebra by R.H. Rand Pdf

First published in 1994. Routledge is an imprint of Taylor & Francis, an informa company.

Topics in Nonlinear Dynamics, Volume 1

Gaetan Kerschen,Douglas Adams,Alex Carrella
Topics in Nonlinear Dynamics Volume 1 Book PDF

Author : Gaetan Kerschen,Douglas Adams,Alex Carrella
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 42,6 Mb
Release : 2013-05-24
Category : Technology & Engineering
ISBN : 9781461465706

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Topics in Nonlinear Dynamics, Volume 1 by Gaetan Kerschen,Douglas Adams,Alex Carrella Pdf

Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity

Topics in Nonlinear Dynamics, Volume 3

D. Adams,G. Kerschen,A. Carrella
Topics in Nonlinear Dynamics Volume 3 Book PDF

Author : D. Adams,G. Kerschen,A. Carrella
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 46,9 Mb
Release : 2012-04-11
Category : Technology & Engineering
ISBN : 9781461424161

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Topics in Nonlinear Dynamics, Volume 3 by D. Adams,G. Kerschen,A. Carrella Pdf

Topics in Nonlinear Dynamics, Volume 3, Proceedings of the 30th IMAC, A Conference and Exposition on Structural Dynamics, 2012, the third volume of six from the Conference, brings together 26 contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Application of Nonlinearities: Aerospace Structures Nonlinear Dynamics Effects Under Shock Loading Application of Nonlinearities: Vibration Reduction Nonlinear Dynamics: Testing Nonlinear Dynamics: Simulation Nonlinear Dynamics: Identification Nonlinear Dynamics: Localization

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 : 47,9 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

Advanced Topics in Nonlinear Control Systems

Hua-Shu Qin
Advanced Topics in Nonlinear Control Systems Book PDF

Author : Hua-Shu Qin
Publisher : World Scientific
Page : 264 pages
File Size : 55,5 Mb
Release : 2001
Category : Science
ISBN : 9812798544

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Advanced Topics in Nonlinear Control Systems by Hua-Shu Qin Pdf

Ch. 1. Generalized Hamiltonian systems / D. Cheng -- ch. 2. Continuous finite-time control / T. P. Leung and Y. Hong -- ch. 3. Local stabilization of nonlinear systems by dynamic output feedback / P. Chen and H. Qin -- ch. 4. Hybrid control for global stabilization of a class of systems / J. Zhao -- ch. 5. Robust and adaptive control of nonholonomic mechanical systems with applications to mobile robots / Y. M. Hu and W. Huo -- ch. 6. Introduction to chaos control and anti-control / G. Chen ... [et al.].

Dynamics of Nonlinear Time-Delay Systems

Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Dynamics of Nonlinear Time Delay Systems Book PDF

Author : Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 53,8 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642149382

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Dynamics of Nonlinear Time-Delay Systems by Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar Pdf

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.