Introduction To Dynamic Systems Analysis PDF Download
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Author | : David G. Luenberger |
Publisher | : John Wiley & Sons |
Total Pages | : 470 |
Release | : 1979-05-28 |
Genre | : Mathematics |
ISBN | : |
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Difference and differential equations; Linear algebra; Linear state equations; Linear systems with constant coefficients; Positive systems; Markov chains; Concepts of control; Analysis of nonlinear systems; Some important dynamic systems; Optimal control.
Author | : Thomas D. Burton |
Publisher | : McGraw-Hill Companies |
Total Pages | : 0 |
Release | : 1994 |
Genre | : Dynamical systems |
ISBN | : 9780070092907 |
Download Introduction to Dynamic Systems Analysis Book in PDF, ePub and Kindle
The first half of the book (Chapters 1-5) is dedicated to presenting the basic material needed in the study of the behavior of dynamic systems.
Author | : Norman H. Beachley |
Publisher | : HarperCollins Publishers |
Total Pages | : 432 |
Release | : 1978 |
Genre | : Mathematics |
ISBN | : |
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Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Author | : Luis Barreira |
Publisher | : Springer Science & Business Media |
Total Pages | : 214 |
Release | : 2012-12-02 |
Genre | : Mathematics |
ISBN | : 1447148355 |
Download Dynamical Systems Book in PDF, ePub and Kindle
The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy, homeomorphisms and diffeomorphisms of the circle, Sharkovski's ordering, the Poincaré-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latter is often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincaré's recurrence theorem and Birkhoff's ergodic theorem. The exposition is mathematically rigorous, concise and direct: all statements (except for some results from other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levels of difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a textbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginning graduate levels. It can also be used for self-study and as a starting point for more advanced topics.
Author | : Burton |
Publisher | : |
Total Pages | : 240 |
Release | : |
Genre | : |
ISBN | : 9780070092914 |
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Author | : Charles M. Close |
Publisher | : John Wiley & Sons |
Total Pages | : 592 |
Release | : 2001-08-20 |
Genre | : Technology & Engineering |
ISBN | : 0471394424 |
Download Modeling and Analysis of Dynamic Systems Book in PDF, ePub and Kindle
The third edition of Modeling and Anaysis of Dynamic Systems continues to present students with the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems. Models are developed in the form of state-variable equations, input-output differential equations, transfer functions, and block diagrams. The Laplace transform is used for analytical solutions. Computer solutions are based on MATLAB and Simulink. Examples include both linear and nonlinear systems. An introduction is given to the modeling and design tools for feedback control systems. The text offers considerable flexibility in the selection of material for a specific course. Students majoring in many different engineering disciplines have used the text. Such courses are frequently followed by control-system design courses in the various disciplines.
Author | : William John Palm |
Publisher | : |
Total Pages | : 772 |
Release | : 1983-01-28 |
Genre | : Science |
ISBN | : |
Download Modeling, Analysis, and Control of Dynamic Systems Book in PDF, ePub and Kindle
An integrated presentation of both classical and modern methods of systems modeling, response and control. Includes coverage of digital control systems. Details sample data systems and digital control. Provides numerical methods for the solution of differential equations. Gives in-depth information on the modeling of physical systems and central hardware.
Author | : G.C. Layek |
Publisher | : Springer |
Total Pages | : 632 |
Release | : 2015-12-01 |
Genre | : Mathematics |
ISBN | : 8132225562 |
Download An Introduction to Dynamical Systems and Chaos Book in PDF, ePub and Kindle
The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.
Author | : Ramin S. Esfandiari |
Publisher | : CRC Press |
Total Pages | : 661 |
Release | : 2018-01-29 |
Genre | : Technology & Engineering |
ISBN | : 1351751646 |
Download Modeling and Analysis of Dynamic Systems Book in PDF, ePub and Kindle
Modeling and Analysis of Dynamic Systems, Third Edition introduces MATLAB®, Simulink®, and SimscapeTM and then utilizes them to perform symbolic, graphical, numerical, and simulation tasks. Written for senior level courses/modules, the textbook meticulously covers techniques for modeling a variety of engineering systems, methods of response analysis, and introductions to mechanical vibration, and to basic control systems. These features combine to provide students with a thorough knowledge of the mathematical modeling and analysis of dynamic systems. The Third Edition now includes Case Studies, expanded coverage of system identification, and updates to the computational tools included.
Author | : Pierre N.V. Tu |
Publisher | : Springer Science & Business Media |
Total Pages | : 257 |
Release | : 2013-11-11 |
Genre | : Business & Economics |
ISBN | : 3662027798 |
Download Dynamical Systems Book in PDF, ePub and Kindle
Dynamic tools of analysis and modelling are increasingly used in Economics and Biology and have become more and more sophisticated in recent years, to the point where the general students without training in Dynamic Systems (DS) would be at a loss. No doubt they are referred to the original sources of mathematical theorems used in the various proofs, but the level of mathematics is generally beyond them. Students are thus left with the burden of somehow understanding advanced mathematics by themselves, with· very little help. It is to these general students, equipped only with a modest background of Calculus and Matrix Algebra that this book is dedicated. It aims at providing them with a fairly comprehensive box of dynamical tools they are expected to have at their disposal. The first three Chapters start with the most elementary notions of first and second order Differential and Difference Equations. For these, no matrix theory and hardly any calculus are needed. Then, before embarking on linear and nonlinear DS, a review of some Linear Algebra in Chapter 4 provides the bulk of matrix theory required for the study of later Chapters. Systems of Linear Differ ential Equations (Ch. 5) and Difference Equations (Ch. 6) then follow to provide students with a good background in linear DS, necessary for the subsequent study of nonlinear systems. Linear Algebra, reviewed in Ch. 4, is used freely in these and subsequent chapters to save space and time.