The universal templates of Ghrist

DOI10.1090/S0273-0979-98-00744-7zbMath0902.57001MaRDI QIDQ4211170

Robert F. Williams

Publication date: 10 September 1998

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

zbMATH Keywords

knotperiodic orbitlinkflowbraidtemplateuniversal templatebranched 2-manifold

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

Related Items (6)

Existence of knotted vortex structures in stationary solutions of the Euler equations ⋮ Unnamed Item ⋮ Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ Visualizing global manifolds during the transition to chaos in the Lorenz system ⋮ UNIVERSAL FORM OF RENORMALIZABLE KNOTS IN SYMBOLIC DYNAMICS OF BIMODAL MAPS ⋮ Contact topology and hydrodynamics III: knotted orbits

Cites Work

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• Knots and links in three-dimensional flows
• Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
• Structural stability of Lorenz attractors
• Knots, links, and symbolic dynamics
• Knotted periodic orbits in dynamical systems. I: Lorenz's equations
• Branched two-manifolds supporting all links
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• Entropy and Knots
• Lorenz knots are prime
• PRIME DECOMPOSITION OF KNOTS IN LORENZ-LIKE TEMPLATES
• THE PRIME DECOMPOSITION OF KNOTTED PERIODIC ORBITS IN DYNAMICAL SYSTEMS
• Expanding attractors

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