A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms
From MaRDI portal
Publication:978958
DOI10.1155/2010/323069zbMath1196.54068OpenAlexW2124303207WikidataQ59254169 ScholiaQ59254169MaRDI QIDQ978958
José Miguel Salazar, Francisco Romero Ruiz del Portal
Publication date: 25 June 2010
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/226411
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (7)
Local fixed point indices of iterations of planar maps ⋮ Fixed point indices of iterated smooth maps in arbitrary dimension ⋮ Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ Realization of all Dold's congruences with stability ⋮ Stable sets of planar homeomorphisms with translation pseudo-arcs ⋮ Dold sequences, periodic points, and dynamics
Cites Work
- Fixed point indices of iterations of \(C^1\) maps in \(\mathbb R^3\)
- Realization of all Dold's congruences with stability
- A bound for the fixed-point index of an area-preserving map with applications to mechanics
- The index of Lyapunov stable fixed points in two dimensions
- An index theorem for the homeomorphisms of the plane near a fixed point
- Fixed points and circle maps
- Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach
- Planar isolated and stable fixed points have index =1
- Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points
- On the uniqueness of the fixed point index on differentiable manifolds
- Lefschetz index for orientation reversing planar homeomorphisms
- Fixed Points of Orientation Reversing Homeomorphisms of the Plane
- A Stable/Unstable "Manifold" Theorem for Area Preserving Homeomorphisms of Two Manifolds
- On the Fixed Point Index of Iterates of Planar Homeomorphisms
- A stable/unstable manifold theorem for local homeomorphisms of the plane
- Dynamique des homéomorphismes du plan au voisinage d'un point fixe
- A Brouwer-like theorem for orientation reversing homeomorphisms of the sphere
- Shift equivalence and the Conley index
This page was built for publication: A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms
