Attractors for infinite-dimensional non-autonomous dynamical systems, Alexandre Carvalho; Jos? A. Langa; James Robinson

Автор: Carvalho
Название: Attractors for infinite-dimensional non-autonomous dynamical systems
ISBN: 1461445809 ISBN-13(EAN): 9781461445807
Издательство: Springer
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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
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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: 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
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Описание: The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

Автор: John Mallet-Paret; Jianhong Wu; Huaiping Zhu; Ying
Название: Infinite Dimensional Dynamical Systems
ISBN: 1489999930 ISBN-13(EAN): 9781489999931
Издательство: Springer
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Описание: ГЇВїВЅ This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, delay differential equations, and stochasticdifferential equations.

Автор: James Robinson; Paul A. Glendinning
Название: From Finite to Infinite Dimensional Dynamical Systems
ISBN: 0792369769 ISBN-13(EAN): 9780792369769
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 21 August-1 September 1995

Автор: Tepper L. Gill; Woodford W. Zachary
Название: Nonlinear Semigroups, Partial Differential Equations and Attractors
ISBN: 3540515941 ISBN-13(EAN): 9783540515944
Издательство: Springer
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Автор: Stephen H. Saperstone
Название: Semidynamical Systems in Infinite Dimensional Spaces
ISBN: 0387906436 ISBN-13(EAN): 9780387906430
Издательство: Springer
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Описание: This approach makes it possible to treat a seemingly broad range of equations from nonautonomous ordinary differential equa- tions and partial differential equations to stochastic differ- ential equations. This space serves as the phase space for the semidynamical system.

Автор: Birgit Jacob; Hans J. Zwart
Название: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
ISBN: 3034808119 ISBN-13(EAN): 9783034808118
Издательство: Springer
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Описание: This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.