Numerical Continuation Methods for Dynamical Systems, Bernd Krauskopf; Hinke M. Osinga; Jorge Galan-Vioq
Автор: Sanders J. A., Verhulst F., Murdock J. Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 0387489169 ISBN-13(EAN): 9780387489162 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Oded Galor Название: Discrete Dynamical Systems ISBN: 3642071856 ISBN-13(EAN): 9783642071850 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution.
Описание: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
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: Bernd Krauskopf; Hinke M. Osinga; Jorge Galan-Vioq Название: Numerical Continuation Methods for Dynamical Systems ISBN: 1402063555 ISBN-13(EAN): 9781402063558 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduces basic concepts of numerical bifurcation analysis. This book discusses continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. It is suitable for those who wish to learn what numerical continuation techniques can achieve.
Описание: The Behavioral Approach for systems and control deals directly with the solution of the differential equations which represent the system. This book reviews this approach and offers new theoretic results. The programs and algorithms are MATLAB based.
Автор: Jan A. Sanders; Ferdinand Verhulst; James Murdock Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 1441923764 ISBN-13(EAN): 9781441923769 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Stuart G. Whittington Название: Numerical Methods for Polymeric Systems ISBN: 0387985573 ISBN-13(EAN): 9780387985572 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains contributions from a workshop on numerical methods for polymeric systems, held at the IMA in May 1996. The two major approaches used in the field are molecular dynamics and Monte Carlo methods, and this book includes reviews of both approaches as well as applications to particular polymeric systems.
Автор: Stuart G. Whittington Название: Numerical Methods for Polymeric Systems ISBN: 1461272491 ISBN-13(EAN): 9781461272496 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An important feature of the book is the treatment of Monte Carlo methods, including umbrella sampling and multiple Markov chain methods, which are useful for strongly interacting systems such as polymers at low temperatures and in compact phases.
Автор: Kiusalaas Название: Numerical Methods in Engineering with MATLAB ISBN: 1107120578 ISBN-13(EAN): 9781107120570 Издательство: Cambridge Academ Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The third edition of this text describes a range of widely used numerical methods, with an emphasis on problem solving. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB (R) M-files accompany each method and are available online, as are solutions to the problems.
Автор: Albert C. J. Luo; Jos? Ant?nio Tenreiro Machado; D Название: Dynamical Systems and Methods ISBN: 1489990909 ISBN-13(EAN): 9781489990907 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focusing on energy transfer in hybrid systems in nonlinear dynamics, this volume begins with a description of systems such as microscale microbeams, and includes extensive coverage of Chua`s Circuit and its applications as well as complex mathematical models.
Автор: Harold Kushner Название: Numerical Methods for Controlled Stochastic Delay Systems ISBN: 0817645349 ISBN-13(EAN): 9780817645342 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Markov chain approximation methods are used for the numerical solution of nonlinear stochastic control problems in continuous time. This book extends the methods to stochastic systems with delays. It surveys properties of various stochastic dynamical models, including singular control, and those for diffusion and reflected diffusion models.
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