On stable and unstable behaviour of certain rotation segments

DOI10.1088/1361-6544/ac8f0dOpenAlexW4306402911MaRDI QIDQ5042390

Salvador Addas-Zanata, Xiao-Chuan Liu

Publication date: 19 October 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08703

zbMATH Keywords

stable and unstable manifoldsrotation setsbounded deviationBrouwer lines

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Linearization of conservative toral homeomorphisms
• A type of moduli for saddle connections of planar diffeomorphisms
• Generalizations of the Poincaré-Birkhoff theorem
• Germs of diffeomorphisms in the plane
• Forcing theory for transverse trajectories of surface homeomorphisms
• Local rigidity of Diophantine translations in higher-dimensional tori
• Prime ends rotation numbers and periodic points
• Strictly toral dynamics
• Diophantine and minimal but not uniquely ergodic (almost)
• Rational mode locking for homeomorphisms of the $2$-torus
• Everyday memory and related processes in patients with eating disorders
• Recurrence and fixed points of surface homeomorphisms
• Rotation Sets for Maps of Tori
• Rotation sets and ergodic measures for torus homeomorphisms
• Recurrence of Co-Cycles and Random Walks
• Regions of instability for non-twist maps
• A triple boundary lemma for surface homeomorphisms
• Instability for the rotation set of homeomorphisms of the torus homotopic to the identity
• Periodic Point Free Homeomorphism of T 2
• Pseudo-rotations of the closed annulus: variation on a theorem of J Kwapisz
• A consequence of the growth of rotation sets for families of diffeomorphisms of the torus
• Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland
• Stability of the rotation set of area-preserving toral homeomorphisms
• Rational polygons as rotation sets of generic homeomorphisms of the two torus
• Generic Bifurcation of Periodic Points
• Generic Properties of Conservative Systems
• Non-existence of sublinear diffusion for a class of torus homeomorphisms

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