Optimal Trajectory Tracking of Nonlinear Dynamical Systems, Jakob L?ber

Автор: Conway
Название: Spacecraft Trajectory Optimization
ISBN: 1107653827 ISBN-13(EAN): 9781107653825
Издательство: Cambridge Academ
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Цена: 40120.00 T
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Описание: Dedicated to space trajectory optimization, this volume includes a variety of both analytical and numerical approaches to trajectory optimization. The authors, all experts and active researchers in their areas of specialization, have written chapters with palpable enthusiasm and relevance to contemporary problems.

Автор: Sanders J. A., Verhulst F., Murdock J.
Название: Averaging Methods in Nonlinear Dynamical Systems
ISBN: 0387489169 ISBN-13(EAN): 9780387489162
Издательство: Springer
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Цена: 111790.00 T
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Описание: Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.Review of First Edition"One of the most striking features of the book is the nice 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 profuse, illuminating diagrams." - Mathematical Reviews

Автор: Guckenheimer John, Holmes Philip
Название: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
ISBN: 0387908196 ISBN-13(EAN): 9780387908199
Издательство: Springer
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Цена: 121110.00 T
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Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2

Автор: Wiggins
Название: Introduction to Applied Nonlinear Dynamical Systems and Chaos
ISBN: 0387001778 ISBN-13(EAN): 9780387001777
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics. This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.

Автор: Haddad, Wassim M. Chellaboina, Vijaysekhar
Название: Nonlinear dynamical systems and control
ISBN: 0691133298 ISBN-13(EAN): 9780691133294
Издательство: Wiley
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Цена: 149950.00 T
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Описание: Presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. This graduate-level textbook is suitable for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

Автор: Blackmore Denis Et Al
Название: Nonlinear Dynamical Systems Of Mathematical Physics: Spectral And Symplectic Integrability Analysis
ISBN: 9814327158 ISBN-13(EAN): 9789814327152
Издательство: World Scientific Publishing
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Цена: 190080.00 T
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Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.

Автор: Jan A. Sanders; Ferdinand Verhulst; James Murdock
Название: Averaging Methods in Nonlinear Dynamical Systems
ISBN: 1441923764 ISBN-13(EAN): 9781441923769
Издательство: Springer
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Цена: 102480.00 T
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Описание: Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first edition of the averaging book. Updated chapters represent new insights in averaging and offer an effective entrance into this topic.

Автор: Felix L. Chernous`ko; I. M. Ananievski; S. A. Resh
Название: Control of Nonlinear Dynamical Systems
ISBN: 3642089704 ISBN-13(EAN): 9783642089701
Издательство: Springer
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Цена: 148010.00 T
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Описание: This book presents a collection of new methods of control for complex dynamical systems, some of them developed by the authors in the past 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange`s equations are considered.

Автор: Chiang
Название: Stability Regions of Nonlinear Dynamical Systems
ISBN: 1107035406 ISBN-13(EAN): 9781107035409
Издательство: Cambridge Academ
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Цена: 163680.00 T
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Описание: In this comprehensive and authoritative work, leading researchers describe theory and optimal estimation, propose new concepts, and detail relevant practical applications. This is the first book on the subject, and it is an invaluable resource for academics, researchers and professional engineers.