Regularization of Brouwer translation theorem

DOI10.1007/s12346-022-00666-yzbMath1506.37057OpenAlexW4297995594WikidataQ115229364 ScholiaQ115229364MaRDI QIDQ2080211

Armengol Gasull, Francesc Mañosas, Jorge Groisman

Publication date: 7 October 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00666-y

zbMATH Keywords

diffeomorphismhomeomorphismBrouwer translation theoremsmooth conjugation

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• A dynamical proof of Brouwer's translation theorem
• Differentiability of the conjugacy in the Hartman-Grobman Theorem
• A new proof of the Brouwer plane translation theorem
• Differential Topology
• Smooth linearisation of planar periodic maps
• Regularity of Conjugacies between Critical Circle Maps: An Experimental Study