Some remarks on the Poincaré-Birkhoff theorem

DOI10.1090/S0002-9939-09-10105-3zbMath1194.37069MaRDI QIDQ5189194

Patrice Le Calvez, Jian Wang

Publication date: 8 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed pointsboundary twist conditionpositive path

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical aspects of twist maps (37E40)

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Cites Work

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• Pseudo-rotations of the open annulus
• Generalizations of the Poincaré-Birkhoff theorem
• The existence of the second fixed point: A correction to Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
• Proof of the Poincaré-Birkhoff fixed point theorem
• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
• A simple proof of P. Carter’s theorem
• An Improvement of the Poincare-Birkhoff Fixed Point Theorem
• The star-shaped condition on Ding's version of the Poincaré-Birkhoff theorem
• A Generalization of the Poincare-Birkhoff Theorem

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