Описание: Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.
Автор: Brian H. Gilding; Robert Kersner Название: Travelling Waves in Nonlinear Diffusion-Convection Reaction ISBN: 3034896387 ISBN-13(EAN): 9783034896382 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph has grown out of research we started in 1987, although the foun- dations were laid in the 1970`s when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion.
Автор: Andreas Liehr Название: Dissipative Solitons in Reaction Diffusion Systems ISBN: 364242984X ISBN-13(EAN): 9783642429842 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Integrating the concepts of classical and elementary particle interaction, this volume includes stripped-down model equations adaptable to numerous systems showing particle-like structures, making it a valuable source for researchers and graduate students.
Автор: Franz Rothe Название: Global Solutions of Reaction-Diffusion Systems ISBN: 3540133658 ISBN-13(EAN): 9783540133650 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
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
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: Antonio Fasano; Mario Primicerio Название: Problems in Nonlinear Diffusion ISBN: 3540171924 ISBN-13(EAN): 9783540171928 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: J.M. Burgers Название: The Nonlinear Diffusion Equation ISBN: 9027704945 ISBN-13(EAN): 9789027704948 Издательство: Springer Рейтинг: Цена: 25848.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1-13 ofthe list given at the end ofthe text were written during that period. A six months stay at the Hydrodynamics Laboratories ofthe California Institute of Technology, Pasadena, California (1950-1951}, was supported by a Contract with the Department of the Air F orce, N o.
Автор: N.G Lloyd; M.G. Ni; L.A. Peletier; J. Serrin Название: Nonlinear Diffusion Equations and Their Equilibrium States, 3 ISBN: 1461267412 ISBN-13(EAN): 9781461267416 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math- ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter- est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = cp(U) + f(u). Here denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x 0, T] in space-time. FUn- damental questions concern the existence, uniqueness and regularity of so- lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
Автор: W.-M. Ni; L.A. Peletier; James Serrin Название: Nonlinear Diffusion Equations and Their Equilibrium States II ISBN: 1461396107 ISBN-13(EAN): 9781461396109 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = ~U + f(u).
Автор: W.-M. Ni; L.A. Peletier; James Serrin Название: Nonlinear Diffusion Equations and Their Equilibrium States I ISBN: 1461396077 ISBN-13(EAN): 9781461396079 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In recent years considerable interest has been focused on nonlinear diffu- sion problems, the archetypical equation for these being Ut = D.u + f(u).
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