Combined structural and topological stability are equivalent to Axiom A and the strong transversality condition
From MaRDI portal
Publication:3308743
DOI10.1017/S0143385700002285zbMath0528.58022WikidataQ114654232 ScholiaQ114654232MaRDI QIDQ3308743
Publication date: 1984
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Stability theory for smooth dynamical systems (37C75)
Related Items (9)
The set of axiom A diffeomorphisms with no cycles ⋮ Structurally stable flows ⋮ Bistable vector fields are axiom A ⋮ Topological stability for conservative systems ⋮ A remark on the topological stability of symplectomorphisms ⋮ Measure topologically stable flows ⋮ Topological stability of a sequence of maps on a compact metric space ⋮ Fixed Points of Topologically Stable Flows ⋮ Combined two stabilities imply Axiom A for vector fields
Cites Work
- Hyperbolicity and chain recurrence
- Structural stability of \(C^1\) diffeomorphisms
- An ergodic closing lemma
- Time dependent stable diffeomorphisms
- Anosov diffeomorphisms are topologically stable
- On semi-stability for diffeomorphisms
- A structural stability theorem
- Absolutely \(\Omega\)-stable diffeomorphisms
- Topologically stable homeomorphisms of the circle
- Absolutely Structurally Stable Diffeomorphisms
- Structurally stable diffeomorphisms are dense
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
This page was built for publication: Combined structural and topological stability are equivalent to Axiom A and the strong transversality condition
