Gradient-like structure and Morse decompositions for time-periodic one- dimensional parabolic equations
type: Item
instance of: scholarly article
title: Gradient-like structure and Morse decompositions for time-periodic one- dimensional parabolic equations
zbMATH Open document ID: 0822.35073
DOI: 10.1007/BF02218815
author: Xu-Yan Chen
author: Peter Poláčik
published in: Journal of Dynamics and Differential Equations
publication date: 1995-04-04T00:00:00Z
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 740266
zbMATH Keywords: scalar one-dimensional parabolic equations
zbMATH Keywords: center manifolds
zbMATH Keywords: periodically time-dependent nonlinearities
zbMATH Keywords: Morse decompositions of the global attractor
zbMATH Keywords: gradient-like structure
MaRDI profile type: Publication
cites work: The zero set of a solution of a parabolic equation.
cites work: Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary
cites work: \(\omega\)-limit sets for axiom A diffeomorphisms
cites work: Convergence in general periodic parabolic equations in one space dimension
cites work: Structural stability for time-periodic one-dimensional parabolic equations
cites work: Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
cites work: Q4180600
cites work: Q4007946
cites work: Stable subharmonic solutions in periodic reaction-diffusion equations
cites work: Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
cites work: Jacobi matrices and transversality
cites work: Q4039920
cites work: Convergence in gradient-like systems with applications to PDE
cites work: Geometric theory of semilinear parabolic equations
cites work: Symmetry and convergence properties for non-negative solutions of nonautonomous reaction–diffusion problems
cites work: Chain recurrence and attraction in non-compact spaces
cites work: Noncompact Chain Recurrence and Attraction
cites work: Convergence of solutions of one-dimensional semilinear parabolic equations
cites work: Q3961188
cites work: Q5613838
cites work: Q3744918
cites work: Linearly Stable Subharmonic Orbits in Strongly Monotone Time-Periodic Dynamical Systems
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
cites work: Q5640108
full work available at URL: https://doi.org/10.1007/bf02218815
OpenAlex ID: W2035955284
description: scientific article; zbMATH DE number 740266