On stability of dynamical systems on open manifolds

DOI10.1016/0022-0396(74)90031-XzbMath0286.58010MaRDI QIDQ1845570

Yanyan Li

Publication date: 1974

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

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75)

Related Items

Geometrical and topological aspects of electrostatics on Riemannian manifolds, The Closing Lemma for Generalized Recurrence in the Plane, On Anosov Diffeomorphisms on the Plane, Structural stability of vector fields on 3-manifolds with boundary

Cites Work

• Structurally stable systems on open manifolds are never dense
• On Morse-Smale dynamical systems
• Neighborhoods of hyperbolic sets
• Beyond hyperbolicity
• Elementary Differential Topology. (AM-54)
• Differentiable dynamical systems
• Ω-Explosions
• Hyperbolic Limit Sets
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