Book Description
Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals received are used to determine highly sensitive processes such as the flight path of a plane, the orbit of a space vehicle, or the control of a machine. The authors use dynamic models from mechanical and aerospace engineering to provide immediate results of estimation concepts with a minimal reliance on mathematical skills. The book documents the development of the central concepts and methods of optimal estimation theory in a manner accessible to engineering students, applied mathematicians, and practicing engineers. It includes rigorous theoretial derivations and a significant amount of qualitiative discussion and judgements. It also presents prototype algorithms, giving detail and discussion to stimulate development of efficient computer programs and intelligent use of them. This book illustrates the application of optimal estimation methods to problems with varying degrees of analytical and numercial difficulty. It compares various approaches to help develop a feel for the absolute and relative utility of different methods, and provides many applications in the fields of aerospace, mechanical, and electrical engineering.
Customer Reviews:
Outstanding inclusive text on estimation theory!.......2004-06-03
It presents the fundamentals of state estimation theory and the tools for the design of state-of-the-art algorithms for navigation and tracking, vehicle attitude determination. There is a lot of material that is covered by this book. The examples are well presented and they really help you when working on the problems at the end of each chapter. Also, computer routines for all the examples shown in the text can be accessed. I have to say that this is an excellent book for estimation of dynamic systems.
Book Description
Chapters are grouped according to subject matter. The first group discusses theory; the second considers instrumentation and measurements, and procedures for analyzing and testing systems subjected to shock and vibration. Vibration that is induced by ground motion and fluid flow is considered next; then methods of controlling shock and vibration; followed by chapters on packaging engineering to prevent equipment from being damaged in transit; on the theory and practice of equipment design; and on the effects of shock and vibration on humans. New material includes computer techniques for solving problems, new instrumentation based on microchip technology, advances in analysis of data and models, application of finite element methods, and test criteria and specifications.
Customer Reviews:
It's quite good as a handbook.......1999-08-18
I've profit their examples in my job. I think that the authors must use the IS. In non anglo countries is common used IS. I think that if there were more theory it were a better handbook.
It's quite good as a handbook.......1999-08-18
I've profit their examples in my job. I think that the authors must use the IS. In non anglo countries is common used IS. I think that if there were more theory it were a better handbook.
Book Description
The technology of neural networks has attracted much attention in recent years. Their ability to learn nonlinear relationships is widely appreciated and is utilized in many different types of applications; modelling of dynamic systems, signal processing, and control system design being some of the most common. The theory of neural computing has matured considerably over the last decade and many problems of neural network design, training and evaluation have been resolved. This book provides a comprehensive introduction to the most popular class of neural network, the multilayer perceptron, and shows how it can be used for system identification and control. It aims to provide the reader with a sufficient theoretical background to understand the characteristics of different methods, to be aware of the pit-falls and to make proper decisions in all situations. The subjects treated include: System identification: multilayer perceptrons; how to conduct informative experiments; model structure selection; training methods; model validation; pruning algorithms. Control: direct inverse, internal model, feedforward, optimal and predictive control; feedback linearization and instantaneous-linearization-based controllers. Case studies: prediction of sunspot activity; modelling of a hydraulic actuator; control of a pneumatic servomechanism; water-level control in a conical tank. The book is very application-oriented and gives detailed and pragmatic recommendations that guide the user through the plethora of methods suggested in the literature. Furthermore, it attempts to introduce sound working procedures that can lead to efficient neural network solutions. This will make the book invaluable to the practitioner and as a textbook in courses with a significant hands-on component.
Customer Reviews:
all about the perceptron for control systems.......2007-01-07
Much of the book might already be familiar to a reader involved with neural networks. The authors give a recap of decades of progress into using multilayer networks in a feedback mode. Key sections of the text discuss the weighting of the nodes and how you can realistically compute these weights.
But the emphasis differs from most existing texts on neural networks. Here, the authors explain how you might control a dynamical system that could exhibit pronounced nonlinearities. The book is pitched towards someone from control systems theory. The latter has been highly developed, to handle both linear and nonlinear systems. However, if you consult standard texts on control systems, neural networks rarely (if ever) garner a mention. This book tries to correct that deficiency.
it works!.......2006-01-18
This is an excellent book. It contains theory and essential exaples for system identification and control based on ANN approach. The authors have also a WEB site where additional information and the toolboxes (MATLAB format) can be found.
The programs work an they are easy to understand and run.
I first tried the toolboxes (the user manuals are included with the toolboxes) and then ordered the book. It is worth having both. I highly recommend it, specially if you are a newbie in ANN but need a fast start.
Cheers!
Toolbox for Neural Net System Identification.......2005-09-11
The book is straight forward and useful. However, I would like to see more examples using MATLAB.
Average customer rating:
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Spatio-Temporal Pattern Formation: With Examples from Physics, Chemistry, and Materials Science (Partially Ordered Systems)
Daniel Walgraef
Manufacturer: Springer
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ASIN: 0387948570 |
Book Description
This book provides an interdisciplinary presentation of the current knowledge of pattern formation in complex system, with sufficiently many details, tools, and concrete examples to be useful for the graduate student or scientist entering this area of research.
Average customer rating:
- Not that good
- Good Introduction To Chaos
|
Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists
J. M. T. Thompson , and
Hugh B. Stewart
Manufacturer: John Wiley & Sons Ltd (Import)
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ASIN: 0471909602 |
Book Description
Emphasizes the qualitative description of long-term recurrent motions of dissipative systems governed by genuinely nonlinear equations, with no assumptions of near-linearity. General concepts of the geometric theory are illustrated using computer simulations of specific ordinary differential and difference equations. The nonlinear phenomena discussed include the multiple attractors observable in a single system, chaotic long-term behaviour and its underlying order and structure, and discontinuous jump and hysteresis phenomena.
Customer Reviews:
Not that good.......2005-02-07
This book contains some standard topics treated on an elementary way. Unfortunatelly mathemathical formalism is almost left out.
The approach to the subject is pretty popular.
I think one is going to invest her/his own time in a better way by working first on V.I.Arnold's "Classical Mechanics" (symplectic formalism) then going on with E. Ott's "Chaos" (one of the best on the subject, but Lichtenberg-Liebermann is also a good one, in my opinion) and, finally, taking a look into some parts of Arnold's "Geometrical methods of ODE". More stuff is available on the Web (arxiv.org --> recent abstracts and new approaches on dynamical systems in Physics). This is a good way to gain a technical basis instead of a popular one.
Good Introduction To Chaos.......2004-03-27
The book is complex enough to provide good information on NLD, chaos, and the associated differential equations, but not so complex you can't get a firm working grasp of the subject. Lots of nice illustrations, clearly and concisely explained. Bifurcations, attractors and all that jazz is in there too if you want to make your own Poincare maps (also explained). I used the information from the book to generate visualizations of an externally excited system moving in and out of different modes of vibration. Such a techinique is not directly explaned in the text, but a good read of the first few chapters will provide the tools to do so. Recommended.
Average customer rating:
- A good book for introduction
- An excellent introduction
- A excellent introduction to chaos
- fundamental, systematic
- Good book!
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Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
Robert Hilborn
Manufacturer: Oxford University Press, USA
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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
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Chaos and Time-Series Analysis
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Nonlinear Time Series Analysis
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Dynamical Systems with Applications using MATLAB
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Chaos in Dynamical Systems
ASIN: 0198507232 |
Book Description
Chaos and Nonlinear Dynamics introduces students, scientists, and engineers to the full range of activity in the rapidly growing field on nonlinear dynamics. Using a step-by-step introduction to dynamics and geometry in state space as the central focus of understanding nonlinear dynamics, this book includes a thorough treatment of both differential equation models and iterated map models (including a derivation of the famous Feigenbaum numbers). It is the only book at this level to include the increasingly important field of pattern formation and a survey of the controversial questions of quantum chaos. Important tools such as Lyapunov exponents and fractal dimensions are treated in detail. With over 200 figures and diagrams, and analytic and computer exercises for every chapter, the book can be used as a course-text or for self-instruction. This second edition has been restructured to make the book even more useful as a course text:many of the more complex examples and derivations have been moved to appendices. The extensive collection of annotated references has been updated through January 2000 and now includes listings of World Wide Web sites at many of the major nonlinear dynamics research centers. From reviews on the 1/e: 'What has been lacking is a single book that takes the reader with nothing but a knowledge of elementary calculus and physics all the way to the frontiers of research in chaos and nonlinear dynamics in all its facets. [...] a serious student, teacher, or researcher would be delighted to have this book on the shelf as a reference and as a window to the literature in this exciting and rapidly growing new field of chaos.' J.C. Sprott, American Journal of Physics, September 19944 'I congratulate the author on having managed to write an extremely thorough, comprehensive, and entertaining introduction to the fascinating field of nonlinear dynamics. His book is highly self- explanatory and ideally suited for self-instruction. There is hardly any question that the author does not address in an exceptionally readable manner. [...] I strongly recommend it to those looking for a comprehensive, practical, and not highly mathematical approach to the subject.' E.A. Hunt, IEEE Spectrum, December 1994
Customer Reviews:
A good book for introduction.......2007-05-22
I have recently bought this book. I have been studying on evolution of the test particles in a particular planewave spacetimes, and I have realized that the system admits a non-integrable structure. I should investigate whether the particle motion emerges chaos or not. But, my knowledge on chaos was almost zero, before buying this book. Now, I am going to complete the full analysis of the book, and I am much more familiar to the concept of chaos. However, this book can be used for just begining. To proceed to the advanced problems you should look for other materials, especially to the articles about chaos. I advise this book as a first book to start chaos.
Dr. Izzet Sakalli
An excellent introduction.......2007-03-09
Covers the basics in an in-depth manner, and exposes the reader to a wide range of exciting problems in dynamical systems theory. THE book to start with if one is interested in chaos.
A excellent introduction to chaos.......2003-11-25
This is an accessible and readable introductory textbook on chaos and nonlinear dynamics. It focuses on the ideas behind the theory of chaos, rather than on the details of the mathematics which can sometimes hinder rather than help the reader gain real insight into the mechanisms of nonlinear systems.
By this I do not mean that the author skips over the required mathematics. The text is intended for people with a solid background in differential equations, and some familiarity with classical dynamical systems is also helpful if not completely necessary. I would say it is targeted for advanced undergraduate or beginning graduate students in the mathematical sciences, as well as scientists/engineers with no background in chaos theory. However he does not get bogged down in mathematics at the expense of physical insight. I have been studying the book on my own and have run into few problems in understanding the explanations.
The first chapter goes over 3 chaotic systems as a practical way of introducing the reader to various features of such systems. This provides a basis of practical experience to draw upon for the rest of the book, where the principles of chaos are examined in greater detail. The extensive references given in the book are a valuable addition that can be used to further explore the scientific literature. The references include journal papers as well as books, articles, and software for dynamical systems.
If you have the requisite mathematical background and want to learn the basics of chaos and nonlinear dynamics, I highly recommend this book.
fundamental, systematic.......2001-11-07
If you are looking for a textbook or reference on chaos theory, I recommend you to buy this book.
If you read other books, you will eventually comment,'chaos is something related to mathematics, very abstract, has nothing to do with my messy bedroom...'
But if you read this book, you will scream,'Great! I have figured out the richness of the nonlinear world. I understand the different dynamical routes to chaos. I know different quantifying methods with their pros and cons. Most fascinating is that chaos is related to pattern formation and self organization, which I consider them as another field of knowledge before. Also chaos may provide a new approach to quantum mechanics, a good news for those including me who do not believe in the parallel universe interpretation. By the way, I learnt a lot from this book!'
Good book!.......2000-08-05
If you want to get on into chaos, just read this book. I especially like the very wide scope of the subjects considered and the insight provided by the author in pattern formation or quantum chaos.
Customer Reviews:
Superb book........2007-06-15
This book provides an exceptional introduction to nonlinear dynamics. Math books are often trapped in equating rigor with formalisms and in compromising intuition to generalities. Strogatz book provides an exemplary guideline how both intuition and rigor may be served to transform a difficult topic into fun reading and highly applicable set of ideas. Here are the key elements of what you will find in this book.
A. The book builds up intuitive understanding of the key ideas of the field
from simple one dimensional dynamics to complex multi-dimensional behaviors.
B. Each chapter contains fascinating applications -- from fireflies synchronization and josephson junction to population dynamics and chaotic laser behaviors-- which are
fun to read and useful if you need to apply dynamics to solve research problems.
C. There are ample exercises and solutions to render this ideal book for self-learners. It provides a relatively broad coverage of the key ideas of the field, without taxing the reader with far corners of little interest.
Great book for beginners.......2007-05-14
Nonlinear dynamics and chaos is an excellent introductory book. It explains this complex looking subject in very simple and intuitive fashion. I recommend this book anyone who are interested in chaos/nonlinear dynamics. It even doubles as a fun book!
Great for an introduction but not for digging in for details.......2007-01-05
I think this is one of the best books for understanding the Phase Spaces and Bifurcations. It is really easy to follow and understand, even for people without background on nonlinear subjects. Yet, it is not the right book for engineers to read and start to solve their own detailed problems. People who seeks for a book to get into the subject or who wants to have a nice reference; BUY THIS BOOK. By the way, its price is reasonable.
Shockingly Readable.......2007-01-04
I bought this book as a textbook for a class, and I have to say that it is a surprisingly readable math book. The class only used the first few chapters, but I find myself flipping through the rest of the book and trying to understand more advanced material. This is a good book for a scientist who needs to learn linear and nonlinear dynamics but is a little intimidated.
Keep in mind, this is a math book, and no writer can turn math into something it isn't. Still, the writer gives lots of relevant examples (especially in the problems--the only complaint I have is that the solutions in the back don't give any explanation, and these solutions are a bit sparse), and milks as much storytelling out of the subject matter as is possible. I thoroughly recommend it--it brings out the closet math geek in everyone!
incredible!.......2006-06-13
This is probably the best math book I've ever read. Unlike other stuffy books, this one is very personable and informal. It is extremely readable, the explanations are crystal-clear and very intuitive and well-motivated, plus the author inserts a lot of humor (it's so nice to be reminded that mathematicians are humans). There are fascinating examples culled from applications.
I should note two things. First, it is not a proof-based book. It discuesses the cool theorems and gives intuitive justifications, but the author is clear that his goal is to build intuition and give experience with the techniques, rather than mathematical rigor (thankfully, he is honest about this and points to areas where more rigor could be introduced, rather than giving the unnatural and awkward hybrid of rigor and intuition attempted by many calculus books). Second, a lot of the problems (though certainly not all) deal with pathological and/or special cases, so it's possible for teachers to give fairly onerous homeworks.
Average customer rating:
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Nonlinear Dynamics in Physiology: A State-space Approach
Mark Shelhamer
Manufacturer: World Scientific Publishing Company
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Nonlinear Time Series Analysis
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An Introduction to Systems Biology: Design Principles of Biological Circuits (Chapman & Hall/Crc Mathematical and Computational Biology Series)
ASIN: 9812700293 |
Book Description
In this book, methodology of dynamical systems theory is applied to investigate the physics of the large-scale ocean circulation. Topics include the dynamics of western boundary currents such as the Gulf Stream in the Atlantic Ocean and the Kurosio in the Pacific Ocean, the stability of the thermohaline circulation, and the El Niño/Southern Oscillation phenomenon in the Tropical Pacific. The book also deals with the numerical methods to apply bifurcation analysis on large-dimensional dynamical systems, with tens of thousands (or more) degrees of freedom, which arise through discretization of ocean and climate models. The novel approach to understand the phenomena of climate variability is through a systematic analysis of the solution structure of a hierarchy of models using these techniques. In this way, a connection between the results of the different models within the hierarchy can be established. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art ocean (and climate) models and observations are sought. The reader is expected to have a background in basic fluid dynamics and applied mathematics, although the level of the text sometimes is quite introductory. Each of the chapters is rather self-contained and many details of derivations are provided. Exercises presented at the end of each chapter make it a perfect graduate-level text.
This book is aimed at graduate students and researchers in meteorology, oceanography and related fields who are interested in tackling fundamental problems in dynamical oceanography and climate dynamics.
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Classical and Quantum Dynamics: From Classical Paths to Path Integrals (Advanced Texts in Physics)
Walter Dittrich , and
Martin Reuter
Manufacturer: Springer
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Techniques and Applications of Path Integration (Dover Books on Physics)
ASIN: 3540420665 |
Book Description
Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text.
This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.
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