Attractors Under Autonomous and Non-autonomous Perturbations, Alexandre N. Carvalho, Jose A. Langa, Matheus C. Bortolan
Автор: Cheban David N Название: Global Attractors Of Non-Autonomous Dynamical And Control Systems (2Nd Edition) ISBN: 9814619825 ISBN-13(EAN): 9789814619820 Издательство: World Scientific Publishing Рейтинг: Цена: 205920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.
Автор: Carvalho Название: Attractors for infinite-dimensional non-autonomous dynamical systems ISBN: 1461445809 ISBN-13(EAN): 9781461445807 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Xiaoying Han; Peter Kloeden Название: Attractors Under Discretisation ISBN: 3319619330 ISBN-13(EAN): 9783319619330 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Part I Dynamical systems and numerical schemes.- 1 Lyapunov stability and dynamical systems.- 2 One step numerical schemes.- Part II Steady states under discretization.- 3 Linear systems.- 4 Lyapunov functions.- 5 Dissipative systems with steady states.- 6 Saddle points under discretisation . Part III Autonomous attractors under discretization.- 7 Dissipative systems with attractors.- 8 Lyapunov functions for attractors.- 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization.- 10 Dissipative nonautonomous systems .- 11 Discretisation of nonautonomous limit sets.- 12 Variable step size.- 13 Discretisation of a uniform pullback attractor.- Notes.- References.
Автор: Alexandre Carvalho; Jos? A. Langa; James Robinson Название: Attractors for infinite-dimensional non-autonomous dynamical systems ISBN: 148999176X ISBN-13(EAN): 9781489991768 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This treatment of pull-back attractors for non-autonomous Dynamical systems emphasizes the infinite-dimensional variety but also analyzes those that are finite. As a graduate primer, it covers everything from basic definitions to cutting-edge results.
Автор: Tepper L. Gill; Woodford W. Zachary Название: Nonlinear Semigroups, Partial Differential Equations and Attractors ISBN: 3540515941 ISBN-13(EAN): 9783540515944 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
This unique book's subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation.
Contents
Seaweed Meanders
Meanders
Morse Meanders and Sturm Global Attractors
Right and Left One-Shifts
Connection Graphs of Type I, II, III and IV
Meanders and the Temperley-Lieb Algebra
Representations of Seaweed Lie Algebras
CYBE and Seaweed Meanders
Автор: Johannes Sj?strand Название: Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations ISBN: 303010818X ISBN-13(EAN): 9783030108182 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
Автор: Meihua Yang, Peter Kloeden Название: Introduction To Nonautonomous Dynamical Systems And Their Attractors, An ISBN: 9811228655 ISBN-13(EAN): 9789811228650 Издательство: World Scientific Publishing Рейтинг: Цена: 58080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself.
Автор: Shankar P. Bhattacharyya Название: Robust Stabilization Against Structured Perturbations ISBN: 3540180567 ISBN-13(EAN): 9783540180562 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a research monograph describing results obtained by the author and his co-workers of the last two years.
Автор: Robert E. O`Malley Название: Historical Developments in Singular Perturbations ISBN: 3319363824 ISBN-13(EAN): 9783319363820 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status.
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