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1. Complex and Adaptive Dynamical Systems: A Primer (Springer: Complexity) by Claudius Gros | |
Paperback: 325
Pages
(2010-09-27)
list price: US$79.95 -- used & new: US$64.09 (price subject to change: see help) Asin: 364204705X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Discover a wide range of findings in quantitative complex system science that help us make sense of our complex world. Written at an introductory level, the book provides an accessible entry into this fascinating and vitally important subject. |
2. Chaos in Dynamical Systems by Edward Ott | |
Paperback: 492
Pages
(2002-09-09)
list price: US$95.00 -- used & new: US$75.57 (price subject to change: see help) Asin: 0521010845 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
Echo...echo...echo...
good introduction to chaos
no pretty fractal diagrams, but good explanations
Very good for Physicists
Good for physicists |
3. Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition (Pure and Applied Mathematics) by Robert Devaney, Morris W. Hirsch | |
Hardcover: 425
Pages
(2003-11-05)
list price: US$105.00 -- used & new: US$48.87 (price subject to change: see help) Asin: 0123497035 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
A new version of a classic book
Excellent Book
good, not ideal
New Edition |
4. Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach by Wassim M. Haddad, VijaySekhar Chellaboina | |
Hardcover: 976
Pages
(2008-01-28)
list price: US$94.00 -- used & new: US$66.30 (price subject to change: see help) Asin: 0691133298 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
A must-have book
Only one word: Excellent
a masterpiece |
5. Dynamical Systems and Semisimple Groups: An Introduction (Cambridge Tracts in Mathematics) by Renato Feres | |
Paperback: 264
Pages
(2010-04-01)
list price: US$26.99 -- used & new: US$22.96 (price subject to change: see help) Asin: 0521142164 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
6. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Computational Neuroscience) by Eugene M. Izhikevich | |
Paperback: 528
Pages
(2010-03-31)
list price: US$32.00 -- used & new: US$26.36 (price subject to change: see help) Asin: 0262514206 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
Great book for the mathematics of neuroscience
Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Computational Neuroscience)
Beautiful book of dynamical system of neurons
Book on the dynamcis of neurons
So you think you are afraid of some math? |
7. Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems by Hal L. Smith | |
Paperback: 174
Pages
(2008-03-26)
list price: US$54.00 -- used & new: US$53.99 (price subject to change: see help) Asin: 0821844873 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
8. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Applied Mathematical Sciences) by Kenneth Meyer, Glen Hall, Dan Offin | |
Hardcover: 399
Pages
(2008-12-12)
list price: US$79.95 -- used & new: US$55.97 (price subject to change: see help) Asin: 0387097236 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
9. Differential Equations and Dynamical Systems by Lawrence Perko | |
Hardcover: 568
Pages
(2006-04-01)
list price: US$95.00 -- used & new: US$62.84 (price subject to change: see help) Asin: 0387951164 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Very good graduate ODEs text, with some flaws There are a couple of problems with this book.The proofs to some of the major theorems are occasionally abstruse or poorly derived.Perko seems to bend over backwards to give analytical proofs, when algebraic or topological proofs might be easier.Many of the problems reuse the same elementary example equations.This is OK insofar as it allows the reader to see how different techniques can be used to analyze the same systems, but it limits the reader's exposure to the full variety of interesting dynamical systems that can arise in practice.The author also tends to emphasize polynomial vector fields, which is a potential limitation.Occasionally the problems are significantly more difficult than the examples worked in the text. Overall, Perko's text is a very solid introduction to advanced ODEs and continuous dynamics.It is especially well-suited for scientists and engineers who want a readable introduction to the qualitative theory of ODEs.
A Book on Advanced Dynamical Systems The book presents a systematic study of thequalitative and geometric theory of nonlinear differential equations anddynamical systems. The book has a sketch of the proof of theHartman-Grobman Theorem which was useful for my second undergraduate courseon dynamical systems and nonlinear differential equations. I liked thebook and I am quite sure it will become a classic textbook on this veryuseful branch of Math that has so many old and new applications in Physics,Economics and Finance. ... Read more |
10. Introduction to Dynamical Systems by Michael Brin, Garrett Stuck | |
Hardcover: 256
Pages
(2002-10-14)
list price: US$67.00 -- used & new: US$66.86 (price subject to change: see help) Asin: 0521808413 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Great expectations, unmet
Great Survey Book |
11. A First Course In Chaotic Dynamical Systems: Theory And Experiment (Studies in Nonlinearity) by Robert L. Devaney | |
Hardcover: 320
Pages
(1992-10-21)
list price: US$70.00 -- used & new: US$55.99 (price subject to change: see help) Asin: 0201554062 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
There Are Better Choices
Has soul - but no cigar
Nice begginers text
Excellent book.Explains concepts clearly. |
12. The Dynamical System Generated by the 3n+1 Function (Lecture Notes in Mathematics) by Günther J. Wirsching | |
Paperback: 158
Pages
(1998-03-20)
list price: US$37.00 -- used & new: US$31.65 (price subject to change: see help) Asin: 3540639705 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
13. Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications) by Anatole Katok, Boris Hasselblatt | |
Paperback: 822
Pages
(1996-12-28)
list price: US$78.00 -- used & new: US$65.83 (price subject to change: see help) Asin: 0521575575 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Great, advanced intro to dynamical systems
Great book with lots of detail Some elementary examples of dynamical systems are given in the first chapter, including definitions of the more important concepts such as topological transitivity and gradient flows. The authors are careful to distinguish between topologically mixing and topological transitivity. This (subtle) difference is sometimes not clear in other books. Symbolic dynamics, so important in the study of dynamical systems, is also treated in detail. The classification of dynamical systems is begun in Chapter 2, with equivalence under conjugacy and semi-conjugacy defined and characterized. The very important Smale horseshoe map and the construction of Markov partitions are discussed. The authors are careful to distinguish the orbit structure of flows from the case in discrete-time systems. Chapter 3 moves on to the characterization of the asymptotic behavior of smooth dynamical systems. This is done with a detailed introduction to the zeta-function and topological entropy. In symbolic dynamics, the topological entropy is known to be uncomputable for some dynamical systems (such as cellular automata), but this is not discussed here. The discussion of the algebraic entropy of the fundamental group is particularly illuminating. Measure and ergodic theory are introduced in the following chapter. Detailed proofs are given of most of the results, and it is good to see that the authors have chosen to include a discussion of Hamiltonian systems, so important to physical applications. The existence of invariant measures for smooth dynamical systems follows in the next chapter with a good introduction to Lagrangian mechanics. Part 2 of the book is a rigorous overview of hyperbolicity with a very insightful discussion of stable and unstable manifolds. Homoclinicity and the horseshoe map are also discussed, and even though these constructions are not useful in practical applications, an in-depth understanding of them is important for gaining insight as to the behavior of chaotic dynamical systems. Also, a very good discussion of Morse theory is given in this part in the context of the variational theory of dynamics. The third part of the book covers the important area of low dimensional dynamics. The authors motivate the subject well, explaining the need for using low dimensional dynamics to gain an intuition in higher dimensions. The examples given are helpful to those who might be interested in the quantization of dynamical systems, as the number-theoretic constructions employed by the author are similar to those used in "quantum chaos" studies. Knot theorists will appreciate the discussion on kneading theory. The authors return to the subject of hyperbolic dynamical systems in the last part of the book. The discussion is very rigorous and very well-written, especially the sections on shadowing and equilibrium states. The shadowing results have been misused in the literature, with many false statements about their applicability. The shadowing theorem is proved along with the structural stability theorem. The authors give a supplement to the book on Pesin theory. The details of Pesin theory are usually time-consuming to get through, but the authors do a good job of explaining the main ideas. The multiplicative ergodic theorem is proved, and this is nice since the proof in the literature is difficult.
Excellent rigorous introduction to chaotic dynamical system The book starts with a comprehensive discussion of a series of elementary but fundamental examples.These examples are used to formulate the general program of the study of asymptotic properties as well as to introduce the principal notions (differentiable and topological equivalence, moduli, asymptotic orbit growth, entropies, ergodicity, etc.) and, in a simplified way, a number of important methods (fixed point methods, coding, KAM-type Newton method, local normal forms, etc.). This chapter alone is worth the price of the book. The main theme of the second part is the interplay between local analysis near individual (e.g., periodic) orbits and the global complexity of the orbit structure. This is achieved by exploring hyperbolicity, transversality, global topological invariants, and variational methods. The methods include study of stable and unstable manifolds, bifurcations, index and degree, and construction of orbits as minima and minimaxes of action functionals. In the third and fourth part the general program is carried out for low-dimensional and hyperbolic dynamical systems which are particularly amenable to such analysis. In addition these systems have interesting particular properties. For hyperbolic systems there are structural stability, theory of equilibrium (Gibbs) measures, and asymptotic distribution of periodic orbits, in low-dimensional dynamical systems classical Poincare-Denjoy theory, and Poincare-Bendixson theories are presented as well as more recent developments, including the theory of twist maps, interval exchange transformations and noninvertible interval maps. This book should be on the desk (not bookshelf!) of any serious student of dynamical systems or any mathematically sophisticated scientist or engineer interested in using tools and paradigms of dynamical systems to model or study nonlinear systems.
Excellent rigorous introduction to chaotic dynamical systems The book starts with a comprehensive discussion of a series of elementary but fundamental examples.These examples are used to formulate the general program of the study of asymptotic properties as well as to introduce the principal notions (differentiable and topological equivalence, moduli, asymptotic orbit growth, entropies, ergodicity, etc.) and, in a simplified way, a number of important methods (fixed point methods, coding, KAM-type Newton method, local normal forms, etc.). This chapter alone is worth the price of the book. The main theme of the second part is the interplay between local analysis near individual (e.g., periodic) orbits and the global complexity of the orbit structure. This is achieved by exploring hyperbolicity, transversality, global topological invariants, and variational methods. The methods include study of stable and unstable manifolds, bifurcations, index and degree, and construction of orbits as minima and minimaxes of action functionals. In the third and fourth part the general program is carried out for low-dimensional and hyperbolic dynamical systems which are particularly amenable to such analysis. In addition these systems have interesting particular properties. For hyperbolic systems there are structural stability, theory of equilibrium (Gibbs) measures, and asymptotic distribution of periodic orbits, in low-dimensional dynamical systems classical Poincare-Denjoy theory, and Poincare-Bendixson theories are presented as well as more recent developments, including the theory of twist maps, interval exchange transformations and noninvertible interval maps. This book should be on the desk (not bookshelf!) of any serious student of dynamical systems or any mathematically sophisticated scientist or engineer interested in using tools and paradigms of dynamical systems to model or study nonlinear systems. ... Read more |
14. Lectures on Fractal Geometry and Dynamical Systems (Student Mathematical Library) by Yakov Pesin and Vaughn Climenhaga | |
Paperback: 314
Pages
(2009-10-21)
list price: US$51.00 -- used & new: US$50.99 (price subject to change: see help) Asin: 0821848895 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Not aparticularly great book |
15. Differential Equations, Dynamical Systems, and Linear Algebra (Pure and Applied Mathematics (Academic Press), 60.) by Morris W. Hirsch, Stephen Smale | |
Hardcover: 358
Pages
(1974-05-12)
list price: US$117.00 -- used & new: US$373.60 (price subject to change: see help) Asin: 0123495504 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (6)
A valuable source
This is not a recipe book
A complete waste
Not for the average undergrad!
Thorough and solid introduction But my opinions won't be as helpful to the Amazon math shopper as a simple listing of what's in the book. So here's the table of contents. Chapter 1: First Examples Chapter 2: Newton's Equation and Kepler's Law Chapter 3: Linear Systems with Constant Coefficiants and Real Eigenvalues Chapter 4: Linear Systems with Constant Coefficients and Complex Eigenvalues Chapter 5: Linear Systems and Exponentials of Operators Chapter 6: Linear Systems and Canonical Forms of Operators Chapter 7: Contractions and Generic Properties of Operators Chapter 8: Fundamental Theory Chapter 9: Stability of Equilibria Chapter 10: Differential Equations for Electric Circuits Chapter 11: The Poincare-Bendixson Theorem Chapter 12: Ecology Chapter 13: Periodic Attractors Chapter 14: Classical Mechanics Chapter 15: Nonautonomous Equations and Differentiability of Flows Chapter 16: Perturbation Theory and Structural Stability Afterword Appendix I: Elementary Facts Appendix II: Polynomials Appendix III: On Canonical Forms Appendix IV: The Inverse Function Theorem References Answers to Selected Problems ... Read more |
16. Averaging Methods in Nonlinear Dynamical Systems (Applied Mathematical Sciences) by Jan A. Sanders, Ferdinand Verhulst, James Murdock | |
Paperback: 434
Pages
(2010-11-02)
list price: US$89.95 -- used & new: US$71.97 (price subject to change: see help) Asin: 1441923764 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. One of the most striking features of the book is the collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with illuminating diagrams. |
17. Hybrid Dynamical Systems by Andrey V. Savkin, Robin J. Evans | |
Hardcover: 168
Pages
(2002-07-10)
list price: US$89.95 -- used & new: US$58.95 (price subject to change: see help) Asin: 0817642242 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The work is a self-contained informative text/reference, covering several theoretically interesting and practically significant problems concerning the use of switched controllers and examining the sensor scheduling problem. The emphasis is on classes of uncertain systems as models for HDS. Features and topics: * Focuses on the design of robust HDS in a logical and clear manner * Applies the hybrid control systems framework to two classical robust control problems: design of an optimal stable controller for a linear system and simultaneous stabilization of a collection of plants * Presents a detailed treatment of stability and H-infinity control problems for a class of HDS * Covers recent original results with complete mathematically rigorous proofs Researchers and postgraduate students in control engineering, applied mathematics, and theoretical computer science will find this book covers the latest results on this important area of research. Advanced engineering practitioners and applied researchers working in areas of control engineering, signal processing, communications, and fault detection will find this book an up-to-date resource. |
18. Dynamical Systems with Applications using MATLAB by Stephen Lynch, Stephen Lynch, Birkhauser | |
Paperback: 450
Pages
(2004-06-10)
list price: US$69.95 -- used & new: US$45.00 (price subject to change: see help) Asin: 0817643214 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Beginning with a tutorial guide to MATLAB(r), the text thereafter is divided into two main areas. In Part I, both real and complex discrete dynamical systems are considered, with examples presented from population dynamics, nonlinear optics, and materials science. Part II includes examples from mechanical systems, chemical kinetics, electric circuits, economics, population dynamics, epidemiology, and neural networks. Common themes such as bifurcation, bistability, chaos, fractals, instability, multistability, periodicity, and quasiperiodicity run through several chapters. Chaos control and multifractal theories are also included along with an example of chaos synchronization. Some material deals with cutting-edge published research articles and provides a useful resource for open problems in nonlinear dynamical systems. Approximately 330 illustrations, over 300 examples, and exercises with solutions play a key role in the presentation.Additional applications and further links of interest are also available at the author's website. The hands-on approach of "Dynamical Systems with Applications using MATLAB(r)" engages a wide audience of senior undergraduate and graduate students, applied mathematicians, engineers, and working scientists in various areas of the natural sciences. Reviews of the author's published book "Dynamical Systems with Applications using Maple(r)": "The text treats a remarkable spectrum of topics...and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple(r)." - U.K. Nonlinear News "...will provide a solid basis for both research and education in nonlinear dynamical systems." - The Maple Reporter Customer Reviews (1)
Review for Lynch's dynamical systems matlab edition text |
19. Notes on Dynamical Systems (Courant Lecture Notes) by Jürgen Moser and Eduard J. Zehnder | |
Paperback: 256
Pages
(2005-12-09)
list price: US$36.00 -- used & new: US$28.80 (price subject to change: see help) Asin: 0821835777 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
20. Normal Forms and Unfoldings for Local Dynamical Systems (Springer Monographs in Mathematics) by James Murdock | |
Paperback: 494
Pages
(2010-11-02)
list price: US$129.00 -- used & new: US$92.27 (price subject to change: see help) Asin: 1441930132 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is the most thorough treatment of normal forms currently existing in book form. There is a substantial gap between elementary treatments in textbooks and advanced research papers on normal forms. This book develops all the necessary theory 'from scratch' in just the form that is needed for the application to normal forms, with as little unnecessary terminology as possible. |
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