On the Morse theory of attractors: a functional approach
type: Item
instance of: scholarly article
title: On the Morse theory of attractors: a functional approach
zbMATH Open document ID: 1478.37079
author: Mo Jia
author: Desheng Li
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2021-09-02T00:00:00Z
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 37B25
Mathematics Subject Classification ID: 37B35
zbMATH DE Number: 7389861
zbMATH Keywords: semiflow
zbMATH Keywords: attractor
zbMATH Keywords: Morse-Lyapunov function
zbMATH Keywords: deformation lemma
zbMATH Keywords: critical group
zbMATH Keywords: Morse inequality
zbMATH Keywords: Morse equation
MaRDI profile type: Publication
full work available at URL: j.na.2021.112466
OpenAlex ID: W3174350857
cites work: Attractors of partial differential evolution equations and estimates of their dimension
cites work: Q4003101
cites work: Attractors Under Autonomous and Non-autonomous Perturbations
cites work: Morse Decomposition of Attractors for Non-autonomous Dynamical Systems
cites work: Non-autonomous dynamical systems
cites work: Q3999077
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Q3160248
cites work: Attractors for equations of mathematical physics
cites work: Introduction to the theory of infinite-dimensional dissipative systems
cites work: Q4180600
cites work: Stability of gradient semigroups under perturbations
cites work: TOWARDS A MORSE THEORY FOR RANDOM DYNAMICAL SYSTEMS
cites work: Inertial manifolds for nonlinear evolutionary equations
cites work: Q4039920
cites work: Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations
cites work: Shape and Morse theory of attractors
cites work: Q3998731
cites work: Morse Decompositions for General Dynamical Systems and Differential Inclusions with Applications to Control Systems
cites work: Morse equation of attractors for nonsmooth dynamical systems
cites work: Smooth Morse-Lyapunov functions of strong attractors for differential inclusions
cites work: Q4550341
cites work: Morse decompositions of nonautonomous dynamical systems
cites work: Introduction (to ``From finite to infinite dimensional dynamical systems'')
cites work: The homotopy index and partial differential equations
cites work: Unstable attractors in manifolds
cites work: On the structure of uniform attractors
cites work: Morse equations and unstable manifolds of isolated invariant sets
cites work: Shape and Conley Index of Attractors and Isolated Invariant Sets
cites work: Dynamics of evolutionary equations
cites work: Q5522742
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
DOI: 10.1016/J.NA.2021.112466
description: scientific article; zbMATH DE number 7389861