The continuation of the Conley index for singular perturbations and the Conley indices in gradient-like systems. I
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Publication:5955605
DOI10.1006/jdeq.2000.3965zbMath0993.37010OpenAlexW2087537482MaRDI QIDQ5955605
Publication date: 27 May 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3965
Singular perturbations in context of PDEs (35B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)
Cites Work
- Invariant manifolds for flows in Banach spaces
- Geometric theory of semilinear parabolic equations
- Geometric singular perturbation theory for ordinary differential equations
- Manifolds, tensor analysis, and applications.
- Singular index pairs
- Stability of local minima and stable nonconstant equilibria
- Competing species equations with diffusion, large interactions, and jumping nonlinearities
- Spatial independence of invariant sets of parabolic systems
- The generalized Conley index and multiple solutions of semilinear elliptic problems
- Critical manifolds, travelling waves, and an example from population genetics
- Reaction-diffusion equation on thin domains
- Dual variational methods in critical point theory and applications
- An index product formula for the study of elliptic resonance problems
- Stability and convergence in strongly monotone dynamical systems.
- Degenerate critical points, homotopy indices and Morse inequalities.
- The dynamical systems approach to differential equations
- Connected Simple Systems and The Conley Index of Isolated Invariant Sets
- A Note on Degree Theory for Gradient Mappings
- A Damped Hyperbolic Equation on Thin Domains
- Spatial segregation limit of a competition–diffusion system
- Stabilization of Vortices in the Ginzburg--Landau Equation with a Variable Diffusion Coefficient
- Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
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