Homotopy of dynamical systems on manifolds and Morse theory on covering space

DOI10.1007/S10883-010-9084-XzbMath1203.37046OpenAlexW1975581884WikidataQ125119653 ScholiaQ125119653MaRDI QIDQ619258

Leonid A. Luxemburg

Publication date: 24 January 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-010-9084-x

zbMATH Keywords

transversalityhomologyhomotopyvector fieldscovering spacestable manifolddifferentiable manifoldboundary of stabilityMorse-Smale theorypartial equilibrium equivalence

Mathematics Subject Classification ID

Stability of manifolds of solutions to ordinary differential equations (34D35) Algebraic topology on manifolds and differential topology (57R19) Morse-Smale systems (37D15)

Related Items (2)

Lower bounds for equilibria of covering flows on manifolds ⋮ Morse-Smale theory for flows on covering spaces of compact manifolds

Cites Work

• Analytic expressions of unstable manifolds
• Generalized Morse theory and its applications to control and stability analysis
• Equilibrium equivalence theorem and its applications to control and stability
• Morse inequalities for a dynamical system
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