Dynamical Systems With Applications Using Matlab

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Dynamical Systems with Applications using MATLAB®

Stephen Lynch
Dynamical Systems with Applications using MATLAB Book PDF

Author : Stephen Lynch
Publisher : Springer
Page : 514 pages
File Size : 41,5 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9783319068206

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Dynamical Systems with Applications using MATLAB® by Stephen Lynch Pdf

This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

Dynamical Systems with Applications using MATLAB®

Stephen Lynch
Dynamical Systems with Applications using MATLAB Book PDF

Author : Stephen Lynch
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 40,9 Mb
Release : 2013-12-01
Category : Technology & Engineering
ISBN : 9780817681562

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Dynamical Systems with Applications using MATLAB® by Stephen Lynch Pdf

This introduction to dynamical systems theory guides readers through theory via example and the graphical MATLAB interface; the SIMULINK® accessory is used to simulate real-world dynamical processes. Examples included are from mechanics, electrical circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science and neural networks. The book contains over 330 illustrations, 300 examples, and exercises with solutions.

Dynamical Systems with Applications using Mathematica®

Stephen Lynch
Dynamical Systems with Applications using Mathematica Book PDF

Author : Stephen Lynch
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 51,9 Mb
Release : 2007-09-20
Category : Mathematics
ISBN : 9780817645861

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Dynamical Systems with Applications using Mathematica® by Stephen Lynch Pdf

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

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 : 55,8 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

Dynamical Systems Method and Applications

Alexander G. Ramm,Nguyen S. Hoang
Dynamical Systems Method and Applications Book PDF

Author : Alexander G. Ramm,Nguyen S. Hoang
Publisher : John Wiley & Sons
Page : 522 pages
File Size : 52,7 Mb
Release : 2013-06-07
Category : Mathematics
ISBN : 9781118199602

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Dynamical Systems Method and Applications by Alexander G. Ramm,Nguyen S. Hoang Pdf

Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear problems as well as ill-posed and well-posed problems. The authors offer a clear, step-by-step, systematic development of DSM that enables readers to grasp the method's underlying logic and its numerous applications. Dynamical Systems Method and Applications begins with a general introduction and then sets forth the scope of DSM in Part One. Part Two introduces the discrepancy principle, and Part Three offers examples of numerical applications of DSM to solve a broad range of problems in science and engineering. Additional featured topics include: General nonlinear operator equations Operators satisfying a spectral assumption Newton-type methods without inversion of the derivative Numerical problems arising in applications Stable numerical differentiation Stable solution to ill-conditioned linear algebraic systems Throughout the chapters, the authors employ the use of figures and tables to help readers grasp and apply new concepts. Numerical examples offer original theoretical results based on the solution of practical problems involving ill-conditioned linear algebraic systems, and stable differentiation of noisy data. Written by internationally recognized authorities on the topic, Dynamical Systems Method and Applications is an excellent book for courses on numerical analysis, dynamical systems, operator theory, and applied mathematics at the graduate level. The book also serves as a valuable resource for professionals in the fields of mathematics, physics, and engineering.

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 : 44,7 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®.

Dynamical Systems with Applications using MapleTM

Stephen Lynch
Dynamical Systems with Applications using MapleTM Book PDF

Author : Stephen Lynch
Publisher : Springer Science & Business Media
Page : 512 pages
File Size : 54,6 Mb
Release : 2009-12-23
Category : Mathematics
ISBN : 9780817646059

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Dynamical Systems with Applications using MapleTM by Stephen Lynch Pdf

Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center

Differential Dynamical Systems, Revised Edition

James D. Meiss
Differential Dynamical Systems Revised Edition Book PDF

Author : James D. Meiss
Publisher : SIAM
Page : 392 pages
File Size : 51,7 Mb
Release : 2017-01-24
Category : Mathematics
ISBN : 9781611974645

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Differential Dynamical Systems, Revised Edition by James D. Meiss Pdf

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.

Modelling, Simulation and Control of Non-linear Dynamical Systems

Patricia Melin,Oscar Castillo
Modelling Simulation and Control of Non linear Dynamical Systems Book PDF

Author : Patricia Melin,Oscar Castillo
Publisher : CRC Press
Page : 262 pages
File Size : 48,5 Mb
Release : 2001-10-25
Category : Mathematics
ISBN : 9781420024524

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Modelling, Simulation and Control of Non-linear Dynamical Systems by Patricia Melin,Oscar Castillo Pdf

These authors use soft computing techniques and fractal theory in this new approach to mathematical modeling, simulation and control of complexion-linear dynamical systems. First, a new fuzzy-fractal approach to automated mathematical modeling of non-linear dynamical systems is presented. It is illustrated with examples on the PROLOG programming la

Distributed-Order Dynamic Systems

Zhuang Jiao,YangQuan Chen,Igor Podlubny
Distributed Order Dynamic Systems Book PDF

Author : Zhuang Jiao,YangQuan Chen,Igor Podlubny
Publisher : Springer Science & Business Media
Page : 90 pages
File Size : 46,9 Mb
Release : 2012-02-24
Category : Technology & Engineering
ISBN : 9781447128526

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Distributed-Order Dynamic Systems by Zhuang Jiao,YangQuan Chen,Igor Podlubny Pdf

Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.

A Practical Approach to Dynamical Systems for Engineers

Patricia Mellodge
A Practical Approach to Dynamical Systems for Engineers Book PDF

Author : Patricia Mellodge
Publisher : Woodhead Publishing
Page : 292 pages
File Size : 44,5 Mb
Release : 2015-11-19
Category : Mathematics
ISBN : 9780081002247

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A Practical Approach to Dynamical Systems for Engineers by Patricia Mellodge Pdf

A Practical Approach to Dynamical Systems for Engineers takes the abstract mathematical concepts behind dynamical systems and applies them to real-world systems, such as a car traveling down the road, the ripples caused by throwing a pebble into a pond, and a clock pendulum swinging back and forth. Many relevant topics are covered, including modeling systems using differential equations, transfer functions, state-space representation, Hamiltonian systems, stability and equilibrium, and nonlinear system characteristics with examples including chaos, bifurcation, and limit cycles. In addition, MATLAB is used extensively to show how the analysis methods are applied to the examples. It is assumed readers will have an understanding of calculus, differential equations, linear algebra, and an interest in mechanical and electrical dynamical systems. Presents applications in engineering to show the adoption of dynamical system analytical methods Provides examples on the dynamics of automobiles, aircraft, and human balance, among others, with an emphasis on physical engineering systems MATLAB and Simulink are used throughout to apply the analysis methods and illustrate the ideas Offers in-depth discussions of every abstract concept, described in an intuitive manner, and illustrated using practical examples, bridging the gap between theory and practice Ideal resource for practicing engineers who need to understand background theory and how to apply it

Simulation of Dynamic Systems with MATLAB® and Simulink®

Harold Klee,Randal Allen
Simulation of Dynamic Systems with MATLAB and Simulink Book PDF

Author : Harold Klee,Randal Allen
Publisher : CRC Press
Page : 852 pages
File Size : 55,5 Mb
Release : 2018-02-02
Category : Mathematics
ISBN : 9781498787789

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Simulation of Dynamic Systems with MATLAB® and Simulink® by Harold Klee,Randal Allen Pdf

Continuous-system simulation is an increasingly important tool for optimizing the performance of real-world systems. The book presents an integrated treatment of continuous simulation with all the background and essential prerequisites in one setting. It features updated chapters and two new sections on Black Swan and the Stochastic Information Packet (SIP) and Stochastic Library Units with Relationships Preserved (SLURP) Standard. The new edition includes basic concepts, mathematical tools, and the common principles of various simulation models for different phenomena, as well as an abundance of case studies, real-world examples, homework problems, and equations to develop a practical understanding of concepts.

Dynamical Systems

Shlomo Sternberg
Dynamical Systems Book PDF

Author : Shlomo Sternberg
Publisher : Courier Corporation
Page : 276 pages
File Size : 51,7 Mb
Release : 2010-07-21
Category : Mathematics
ISBN : 9780486477053

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Dynamical Systems by Shlomo Sternberg Pdf

A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.

Invitation to Dynamical Systems

Edward R. Scheinerman
Invitation to Dynamical Systems Book PDF

Author : Edward R. Scheinerman
Publisher : Courier Corporation
Page : 408 pages
File Size : 50,7 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486275321

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Invitation to Dynamical Systems by Edward R. Scheinerman Pdf

This text is designed for those who wish to study mathematics beyond linear algebra but are unready for abstract material. Rather than a theorem-proof-corollary exposition, it stresses geometry, intuition, and dynamical systems. 1996 edition.

Computer-Aided Control Systems Design

Cheng Siong Chin
Computer Aided Control Systems Design Book PDF

Author : Cheng Siong Chin
Publisher : CRC Press
Page : 385 pages
File Size : 43,6 Mb
Release : 2012-12-12
Category : Technology & Engineering
ISBN : 9781466568518

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Computer-Aided Control Systems Design by Cheng Siong Chin Pdf

Computer-Aided Control Systems Design: Practical Applications Using MATLAB® and Simulink® supplies a solid foundation in applied control to help you bridge the gap between control theory and its real-world applications. Working from basic principles, the book delves into control systems design through the practical examples of the ALSTOM gasifier system in power stations and underwater robotic vehicles in the marine industry. It also shows how powerful software such as MATLAB® and Simulink® can aid in control systems design. Make Control Engineering Come Alive with Computer-Aided Software Emphasizing key aspects of the design process, the book covers the dynamic modeling, control structure design, controller design, implementation, and testing of control systems. It begins with the essential ideas of applied control engineering and a hands-on introduction to MATLAB and Simulink. It then discusses the analysis, model order reduction, and controller design for a power plant and the modeling, simulation, and control of a remotely operated vehicle (ROV) for pipeline tracking. The author explains how to obtain the ROV model and verify it by using computational fluid dynamic software before designing and implementing the control system. In addition, the book details the nonlinear subsystem modeling and linearization of the ROV at vertical plane equilibrium points. Throughout, the author delineates areas for further study. Appendices provide additional information on various simulation models and their results. Learn How to Perform Simulations on Real Industry Systems A step-by-step guide to computer-aided applied control design, this book supplies the knowledge to help you deal with control problems in industry. It is a valuable reference for anyone who wants a better understanding of the theory and practice of basic control systems design, analysis, and implementation.