A converse topological stability theorem for flows on surfaces

DOI10.1016/0022-0396(84)90038-XzbMath0493.58012MaRDI QIDQ1168625

Philip Fleming, Hurley, Mike

Publication date: 1984

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

zbMATH Keywords

semiconjugacytopologically equivalent to a Morse-Smale flow

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99) Morse-Smale systems (37D15)

Related Items

Consequences of topological stability ⋮ Vector fields with topological stability ⋮ Fixed Points of Topologically Stable Flows

Cites Work

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• Structural stability on two-dimensional manifolds
• Consequences of topological stability
• Global structure of continuous flows on 2-manifolds
• Stability theorems and hyperbolicity in dynamical systems
• Topological \(\Omega\)-stability of axiom A flows with no \(\Omega\)- explosions
• Lyapunov functions and isolating blocks
• Topologically stable homeomorphisms of the circle
• Attractors: Persistence, and Density of Their Basins
• Global structural stability of flows on open surfaces
• Classification of Continuous Flows on 2-Manifolds
• Filtrations, Decompositions, and Explosions
• Differentiable dynamical systems
• Isolated Invariant Sets and Isolating Blocks

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