More on knots in Robinson's attractor

DOI10.1016/j.topol.2021.107707zbMath1473.37030OpenAlexW3158809718MaRDI QIDQ2033196

Michael C. Sullivan, Ghazwan Al-Hashimi

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107707

zbMATH Keywords

templatesattractorsflowsknotted periodic orbitszeta-type function

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Periodic orbits of vector fields and flows (37C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Uses Software

• KnotInfo

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Lorenz knots
• Knots and links in three-dimensional flows
• Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
• Detecting fibred links in \(S^ 3\)
• Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and property P
• Knotted periodic orbits in dynamical systems. I: Lorenz's equations
• A zeta function for flows with positive templates
• Branched two-manifolds supporting all links
• The Murasugi sum is a natural geometric operation
• Homoclinic bifurcation to a transitive attractor of Lorenz type
• FACTORING FAMILIES OF POSITIVE KNOTS ON LORENZ-LIKE TEMPLATES
• Entropy and Knots
• POSITIVE KNOTS AND ROBINSON'S ATTRACTOR
• Quantum Invariants of Templates
• Homogeneous Links

This page was built for publication: More on knots in Robinson's attractor