Dynamical Systems

Author: Shlomo Sternberg

Publisher: Courier Corporation

ISBN: 0486135144

Category: Mathematics

Page: 272

View: 6841

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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.
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Invitation to Dynamical Systems

Author: Edward R. Scheinerman

Publisher: Courier Corporation

ISBN: 0486275329

Category: Mathematics

Page: 408

View: 2143

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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.
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The Art of Modeling Dynamic Systems

Forecasting for Chaos, Randomness and Determinism

Author: Foster Morrison

Publisher: Courier Corporation

ISBN: 0486131718

Category: Mathematics

Page: 416

View: 7085

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This text illustrates the roles of statistical methods, coordinate transformations, and mathematical analysis in mapping complex, unpredictable dynamical systems. It describes the benefits and limitations of the available modeling tools, showing engineers and scientists how any system can be rendered simpler and more predictable. Written by a well-known authority in the field, this volume employs practical examples and analogies to make models more meaningful. The more universal methods appear in considerable detail, and advanced dynamic principles feature easy-to-understand examples. The text draws careful distinctions between mathematical abstractions and observable realities. Additional topics include the role of pure mathematics, the limitations of numerical methods, forecasting in the presence of chaos and randomness, and dynamics without calculus. Specialized techniques and case histories are coordinated with a carefully selected and annotated bibliography. The original edition was a Library of Science Main Selection in May, 1991. This new Dover edition features corrections by the author and a new Preface.
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Optimal Control and Estimation

Author: Robert F. Stengel

Publisher: Courier Corporation

ISBN: 0486134814

Category: Mathematics

Page: 672

View: 9165

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Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.
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Tensor Calculus

Author: J. L. Synge,A. Schild

Publisher: Courier Corporation

ISBN: 048614139X

Category: Mathematics

Page: 336

View: 8554

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Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
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Qualitative Theory of Differential Equations

Author: V. V. Nemytskii,V. V. Stepanov,Viacheslav Viktorovich Stepanov

Publisher: Courier Corporation

ISBN: 9780486659541

Category: Mathematics

Page: 523

View: 2704

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Graduate-level text considers existence and continuity theorems, integral curves of a system of 2 differential equations, systems of n-differential equations, general theory of dynamical systems, systems with an integral invariant, more. 1960 edition.
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Analysis and Control of Complex Dynamical Systems

Robust Bifurcation, Dynamic Attractors, and Network Complexity

Author: Kazuyuki Aihara,Jun-ichi Imura,Tetsushi Ueta

Publisher: Springer

ISBN: 4431550135

Category: Technology & Engineering

Page: 211

View: 2376

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This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.
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Ergodic Theory and Dynamical Systems

Author: Yves Coudène

Publisher: Springer

ISBN: 1447172876

Category: Mathematics

Page: 190

View: 2450

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This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
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Stable and Efficient Cubature-based Filtering in Dynamical Systems

Author: Dominik Ballreich

Publisher: Springer

ISBN: 3319621300

Category: Business & Economics

Page: 160

View: 8094

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The book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems. It develops new methods of deterministic numerical integration, which can be used to speed up and stabilize filter algorithms. With the help of these methods, better estimates and predictions of latent variables are made possible in the fields of economics, engineering and physics. The resulting procedures are tested within four detailed simulation studies.
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