Morse-type inequalities for dynamical systems and the Witten Laplacian

DOI10.1016/j.jde.2008.02.031zbMath1138.37012OpenAlexW2052897591MaRDI QIDQ925044

Daniel Peralta-Salas, Alberto Enciso

Publication date: 29 May 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.031

zbMATH Keywords

Morse inequalitiesLyapunov functionSchrödinger operatorvector fieldSchrödinger operator techniques

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Invariant manifold theory for dynamical systems (37D10) Morse-Smale systems (37D15)

Related Items (1)

A \(\lambda\)-lemma for normally hyperbolic invariant manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
• The Witten complex and the degenerate Morse inequalities
• A stochastic approach to the Poincaré-Hopf theorem
• Supersymmetry and Morse theory
• Morse-Bott functions and the Witten Laplacian
• Spectral sequences and adiabatic limits
• Topological methods in the instability problem of Hamiltonian systems
• A \(\lambda\)-lemma for normally hyperbolic invariant manifolds
• On gradient dynamical systems
• Kritische Mannigfaltigkeiten in Hilbertmannigfaltigkeiten
• Lyapunov functions and isolating blocks
• Concentration of the first eigenfunction for a second order elliptic operator
• Nondegenerate critical manifolds
• Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
• Morse inequalities for a dynamical system
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle
• Novikov type inequalities for differential forms with non-isolated zeros
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Singular perturbation for the first eigenfunction and blow-up analysis
• Smoothing Derivatives of Functions and Applications
• Differentiable dynamical systems
• Energy Functions for Morse Smale Systems
• Isolated Invariant Sets and Isolating Blocks
• A generalization of Morse-Smale inequalities
• Invariant manifolds

This page was built for publication: Morse-type inequalities for dynamical systems and the Witten Laplacian