Determination of generalized horseshoe maps inducing all link types

DOI10.1016/j.topol.2003.10.005zbMath1057.37040OpenAlexW2017259366MaRDI QIDQ1877614

Mikami Hirasawa, Eiko Kin

Publication date: 19 August 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2003.10.005

zbMATH Keywords

knotperiodic orbitlinkflowisotopybraidtemplatehorseshoe mappleated diagrampleated vector fieldtwist signature

Mathematics Subject Classification ID

Isotopy and pseudo-isotopy (57N37) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items

UNIVERSAL TRELLISES, Chaotic behaviour of countable products of homeomorphism groups, Global generic dynamics close to symmetry

Cites Work

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• Knots and links in three-dimensional flows
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Branched two-manifolds supporting all links
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• From Morse-Smale to all knots and links
• A SUSPENSION OF AN ORIENTATION PRESERVING DIFFEOMORPHISM OF D² WITH A HYPERBOLIC FIXED POINT AND UNIVERSAL TEMPLATE
• THE THIRD POWER OF THE SMALE HORSESHOE INDUCES ALL LINK TYPES
• A Classification of Braid Types for Diffeomorphisms of Surfaces of Genus Zero with Topological Entropy Zero
• Differentiable dynamical systems