Dynamique des homéomorphismes du plan au voisinage d'un point fixe

DOI10.1016/S0012-9593(03)00005-3zbMath1017.37017OpenAlexW2113899075MaRDI QIDQ4707077

Patrice Le Calvez

Publication date: 9 June 2003

Published in: Annales Scientifiques de lʼÉcole Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2003_4_36_1_139_0

zbMATH Keywords

periodic orbitsfixed pointhomomorphism of a surfaceiterates of the mapLefschetz indices

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items

An equivariant foliated version of Brouwer's translation theorem ⋮ Planar isolated and stable fixed points have index =1 ⋮ Local fixed point indices of iterations of planar maps ⋮ Fixed point indices of iterated smooth maps in arbitrary dimension ⋮ Existence of periodic points near an isolated fixed point with Lefschetz index one and zero rotation for area preserving surface homeomorphisms ⋮ Uniqueness of dynamical zeta functions and symmetric products ⋮ Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points ⋮ A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms ⋮ Periodic orbits of Hamiltonian homeomorphisms of surfaces ⋮ Realization of all Dold's congruences with stability ⋮ The local rotation set is an interval ⋮ Barcodes and area-preserving homeomorphisms ⋮ Prime ends rotation numbers and periodic points ⋮ Iterated index and the mean Euler characteristic ⋮ Fixed point indices of planar continuous maps

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