Dynamical Systems Theoretical And Experimental Analysis

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Dynamical Systems: Theoretical and Experimental Analysis

Jan Awrejcewicz
Dynamical Systems Theoretical and Experimental Analysis Book PDF

Author : Jan Awrejcewicz
Publisher : Springer
Page : 421 pages
File Size : 43,6 Mb
Release : 2016-09-17
Category : Mathematics
ISBN : 9783319424088

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Dynamical Systems: Theoretical and Experimental Analysis by Jan Awrejcewicz Pdf

The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

A First Course In Chaotic Dynamical Systems

Robert L. Devaney
A First Course In Chaotic Dynamical Systems Book PDF

Author : Robert L. Devaney
Publisher : Hachette UK
Page : 266 pages
File Size : 52,9 Mb
Release : 1992-10-21
Category : Science
ISBN : 9780813345475

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A First Course In Chaotic Dynamical Systems by Robert L. Devaney Pdf

A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.Chaotic Dynamical Systems Software, Labs 1–6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems, it leads to a rich understanding of this emerging field.

A First Course In Chaotic Dynamical Systems

Robert L. Devaney
A First Course In Chaotic Dynamical Systems Book PDF

Author : Robert L. Devaney
Publisher : CRC Press
Page : 394 pages
File Size : 51,9 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429983115

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A First Course In Chaotic Dynamical Systems by Robert L. Devaney Pdf

A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented. Chaotic Dynamical Systems Software, Labs 1-6 is a supplementary labouratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems , it leads to a rich understanding of this emerging field.

Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications

El Hassan Zerrik,Said Melliani,Oscar Castillo
Recent Advances in Modeling Analysis and Systems Control Theoretical Aspects and Applications Book PDF

Author : El Hassan Zerrik,Said Melliani,Oscar Castillo
Publisher : Springer Nature
Page : 275 pages
File Size : 44,6 Mb
Release : 2019-08-26
Category : Technology & Engineering
ISBN : 9783030261498

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Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications by El Hassan Zerrik,Said Melliani,Oscar Castillo Pdf

This book describes recent developments in a wide range of areas, including the modeling, analysis and control of dynamical systems, and explores related applications. The book provided a forum where researchers have shared their ideas, results on theory, and experiments in application problems. The current literature devoted to dynamical systems is quite large, and the authors’ choice for the considered topics was motivated by the following considerations. Firstly, the mathematical jargon for systems theory remains quite complex and the authors feel strongly that they have to maintain connections between the people of this research field. Secondly, dynamical systems cover a wider range of applications, including engineering, life sciences and environment. The authors consider that the book is an important contribution to the state of the art in the fuzzy and dynamical systems areas.

Perspectives in Dynamical Systems I: Mechatronics and Life Sciences

Jan Awrejcewicz
Perspectives in Dynamical Systems I Mechatronics and Life Sciences Book PDF

Author : Jan Awrejcewicz
Publisher : Springer Nature
Page : 286 pages
File Size : 48,6 Mb
Release : 2022-01-04
Category : Mathematics
ISBN : 9783030773069

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Perspectives in Dynamical Systems I: Mechatronics and Life Sciences by Jan Awrejcewicz Pdf

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

The Complexity of Dynamical Systems

Johan Dubbeldam,Kirk Green,Daan Lenstra
The Complexity of Dynamical Systems Book PDF

Author : Johan Dubbeldam,Kirk Green,Daan Lenstra
Publisher : John Wiley & Sons
Page : 261 pages
File Size : 41,7 Mb
Release : 2011-02-21
Category : Science
ISBN : 9783527409310

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The Complexity of Dynamical Systems by Johan Dubbeldam,Kirk Green,Daan Lenstra Pdf

Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.

Piecewise-smooth Dynamical Systems

Mario Bernardo,Chris Budd,Alan Richard Champneys,Piotr Kowalczyk
Piecewise smooth Dynamical Systems Book PDF

Author : Mario Bernardo,Chris Budd,Alan Richard Champneys,Piotr Kowalczyk
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 49,8 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9781846287084

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Piecewise-smooth Dynamical Systems by Mario Bernardo,Chris Budd,Alan Richard Champneys,Piotr Kowalczyk Pdf

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.

Applied Non-Linear Dynamical Systems

Jan Awrejcewicz
Applied Non Linear Dynamical Systems Book PDF

Author : Jan Awrejcewicz
Publisher : Springer
Page : 538 pages
File Size : 41,6 Mb
Release : 2014-10-21
Category : Mathematics
ISBN : 9783319082660

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Applied Non-Linear Dynamical Systems by Jan Awrejcewicz Pdf

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction.

Identification of Dynamic Systems

Rolf Isermann,Marco Münchhof
Identification of Dynamic Systems Book PDF

Author : Rolf Isermann,Marco Münchhof
Publisher : Springer Science & Business Media
Page : 705 pages
File Size : 55,7 Mb
Release : 2010-11-22
Category : Technology & Engineering
ISBN : 9783540788799

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Identification of Dynamic Systems by Rolf Isermann,Marco Münchhof Pdf

Precise dynamic models of processes are required for many applications, ranging from control engineering to the natural sciences and economics. Frequently, such precise models cannot be derived using theoretical considerations alone. Therefore, they must be determined experimentally. This book treats the determination of dynamic models based on measurements taken at the process, which is known as system identification or process identification. Both offline and online methods are presented, i.e. methods that post-process the measured data as well as methods that provide models during the measurement. The book is theory-oriented and application-oriented and most methods covered have been used successfully in practical applications for many different processes. Illustrative examples in this book with real measured data range from hydraulic and electric actuators up to combustion engines. Real experimental data is also provided on the Springer webpage, allowing readers to gather their first experience with the methods presented in this book. Among others, the book covers the following subjects: determination of the non-parametric frequency response, (fast) Fourier transform, correlation analysis, parameter estimation with a focus on the method of Least Squares and modifications, identification of time-variant processes, identification in closed-loop, identification of continuous time processes, and subspace methods. Some methods for nonlinear system identification are also considered, such as the Extended Kalman filter and neural networks. The different methods are compared by using a real three-mass oscillator process, a model of a drive train. For many identification methods, hints for the practical implementation and application are provided. The book is intended to meet the needs of students and practicing engineers working in research and development, design and manufacturing.

Mathematical Systems Theory I

Diederich Hinrichsen,Anthony J. Pritchard
Mathematical Systems Theory I Book PDF

Author : Diederich Hinrichsen,Anthony J. Pritchard
Publisher : Springer Science & Business Media
Page : 818 pages
File Size : 55,9 Mb
Release : 2011-08-03
Category : Mathematics
ISBN : 9783540441250

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Mathematical Systems Theory I by Diederich Hinrichsen,Anthony J. Pritchard Pdf

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

Dynamical Systems and Control

Firdaus E. Udwadia,H.I. Weber,George Leitmann
Dynamical Systems and Control Book PDF

Author : Firdaus E. Udwadia,H.I. Weber,George Leitmann
Publisher : CRC Press
Page : 450 pages
File Size : 48,5 Mb
Release : 2004-05-10
Category : Mathematics
ISBN : 9780203694589

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Dynamical Systems and Control by Firdaus E. Udwadia,H.I. Weber,George Leitmann Pdf

The 11th International Workshop on Dynamics and Control brought together scientists and engineers from diverse fields and gave them a venue to develop a greater understanding of this discipline and how it relates to many areas in science, engineering, economics, and biology. The event gave researchers an opportunity to investigate ideas and techniq

Dynamical Systems: Modelling

Jan Awrejcewicz
Dynamical Systems Modelling Book PDF

Author : Jan Awrejcewicz
Publisher : Springer
Page : 446 pages
File Size : 51,9 Mb
Release : 2016-09-02
Category : Mathematics
ISBN : 9783319424026

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Dynamical Systems: Modelling by Jan Awrejcewicz Pdf

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Time-Delayed Chaotic Dynamical Systems

Tanmoy Banerjee,Debabrata Biswas
Time Delayed Chaotic Dynamical Systems Book PDF

Author : Tanmoy Banerjee,Debabrata Biswas
Publisher : Springer
Page : 114 pages
File Size : 42,6 Mb
Release : 2017-12-06
Category : Technology & Engineering
ISBN : 9783319709932

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Time-Delayed Chaotic Dynamical Systems by Tanmoy Banerjee,Debabrata Biswas Pdf

This book describes systematic design techniques for chaotic and hyperchaotic systems, the transition from one to the other, and their implementation in electronic circuits. It also discusses the collective phenomena manifested by these systems when connected by a physical coupling scheme. Readers will be introduced to collective behaviours, such as synchronization and oscillation suppression, and will learn how to implement nonlinear differential equations in electronic circuits. Further, the book shows how the choice of nonlinearity can lead to chaos and hyperchaos, even in a first-order time-delayed system. The occurrence of these phenomena, together with the efficiency of the design techniques described, is presented with theoretical studies, numerical characterization and experimental demonstrations with the corresponding electronic circuits, helping readers grasp the design aspects of dynamical systems as a whole in electronic circuits. The authors then discuss the usefulness of an active all-pass filter as the delay element, supported by their own experimental observations, as well as theoretical and numerical results. Including detailed analysis, as well as computations with suitable dedicated software packages, the book will be of interest to all academics and researchers who wish to expand their knowledge of the subtlety of nonlinear time-delayed systems. It also offers a valuable source of information for engineers, linking the design techniques of chaotic time-delayed systems with their collective phenomena.

Dynamical Systems in Social Psychology

Robin R. Vallacher,Andrzej Nowak
Dynamical Systems in Social Psychology Book PDF

Author : Robin R. Vallacher,Andrzej Nowak
Publisher : Academic Press
Page : 338 pages
File Size : 45,8 Mb
Release : 1994-01-11
Category : Medical
ISBN : UOM:39015032766100

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Dynamical Systems in Social Psychology by Robin R. Vallacher,Andrzej Nowak Pdf

A dynamical system refers to a set of elements that interact in complex, often nonlinear ways to form coherent patterns. Because of the complexity of these interactions, the system as a whole may evolve over time in seemingly unpredictable ways as new patterns of behavior emerge. This metatheory has proven useful in understanding diverse phenomena in meteorology, population biology, statistical mechanics, economics, and cosmology. The book demonstrates how the dynamical systems perspective can be applied to theory construction and research in social psychology, and in doing so, provides fresh insight into such complex phenomena as interpersonal behavior, social relations, attitudes, and social cognition.

Data-Driven Science and Engineering

Steven L. Brunton,J. Nathan Kutz
Data Driven Science and Engineering Book PDF

Author : Steven L. Brunton,J. Nathan Kutz
Publisher : Cambridge University Press
Page : 615 pages
File Size : 40,6 Mb
Release : 2022-05-05
Category : Computers
ISBN : 9781009098489

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Data-Driven Science and Engineering by Steven L. Brunton,J. Nathan Kutz Pdf

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.