Titlebook: Attractors for infinite-dimensional non-autonomous dynamical systems; Alexandre N. Carvalho,José A. Langa,James C. Robin Book 2013 Springe

壮观的游行

Acumen

单挑

Gradient semigroups and their dynamical propertiesthe unstable sets of the equilibria (Theorem 2.43). However, key to the definition of a gradient semigroup (Definition 2.38) is the existence of a Lyapunov function, and this is a very delicate matter.

无畏

Ornithologist

Hyperbolic solutions and their stable and unstable manifoldsr an abstract process .( ⋅, ⋅) on a Banach space .. Such results are the main ingredient required to apply the lower semicontinuity results for global and pullback attractors like Theorems 3.8 and 3.11 from Chap. 3 and Theorems 5.26 and 5.36 from Chap. 5.

准则

委托

Delay differential equations be used to investigate the behaviour of such models. In particular, following the ideas in the preceding chapters we are able to compare the dynamics of systems of ordinary differential equations with that of the same system with a small delay and show that the associated attractors are upper semicontinuous as the delay tends to zero.

Peristalsis

0066-5452 cludes supplementary material: .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-autonom

讨好美人

终点

Kunhong Xiao M.D., Ph.D.,Hongda Liupend this chapter analysing this important concept. This is with a view to the applications of the following chapter, in which we will study the robustness of hyperbolic complete trajectories and their stable and unstable manifolds under perturbation.