Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, Marinca

Автор: Marinca Vasile, Herisanu Nicolae, Marinca Bogdan
Название: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
ISBN: 3030756521 ISBN-13(EAN): 9783030756529
Издательство: Springer
Цена: 149060.00 T
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Описание: This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems.

Автор: Jakob L?ber
Название: Optimal Trajectory Tracking of Nonlinear Dynamical Systems
ISBN: 3319465732 ISBN-13(EAN): 9783319465739
Издательство: Springer
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Цена: 111790.00 T
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Описание: By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.

Автор: Beardon
Название: Iteration of Rational Functions
ISBN: 0387951512 ISBN-13(EAN): 9780387951515
Издательство: Springer
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Цена: 55890.00 T
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Описание: Focuses on complex analytic dynamics. This book provides a organized treatment of the foundations of the theory of iteration of rational functions of a complex variable.

Автор: Guckenheimer, John Holmes, Philip
Название: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
ISBN: 1461270200 ISBN-13(EAN): 9781461270201
Издательство: Springer
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Цена: 79190.00 T
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Описание: Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

Автор: Wilmanski Krzysztof Et Al
Название: Continuum Thermodynamics - Part Ii: Applications And Examples
ISBN: 9814412376 ISBN-13(EAN): 9789814412377
Издательство: World Scientific Publishing
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Цена: 163680.00 T
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Описание: Includes simple thermodynamical models such as viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. This book aims to illustrate the above subjects by examples and simple solutions of initial and boundary 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: Idris Assani
Название: Ergodic Theory: Advances in Dynamical Systems
ISBN: 3110460866 ISBN-13(EAN): 9783110460865
Издательство: Walter de Gruyter
Цена: 136310.00 T
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Описание: This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike. Contents:Duality of the almost periodic and proximal relationsLimit directions of a vector cocycle, remarks and examplesOptimal norm approximation in ergodic theoryThe iterated Prisoner’s Dilemma: good strategies and their dynamicsLyapunov exponents for conservative twisting dynamics: a surveyTakens’ embedding theorem with a continuous observable

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: Todd Kapitula; Keith Promislow
Название: Spectral and Dynamical Stability of Nonlinear Waves
ISBN: 1493901877 ISBN-13(EAN): 9781493901876
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes the fundamental ideas of the past two decades of research, carefully balancing theory and application.

Автор: Lazutkin; Kuksin; P?schel
Название: Seminar on Dynamical Systems
ISBN: 3034875177 ISBN-13(EAN): 9783034875172
Издательство: Springer
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Цена: 74490.00 T
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Описание: The "Dynamical Systems Semester" took place at the Euler International Mathematical Institute in St. Petersburg, Russia, in the autumn of 1991. Since the new building of the Euler Institute was not ready at that moment, the sessions were held in the old building of the Steklov Mathemati- cal Institute in the very center of St. Petersburg.