THE PRIME DECOMPOSITION OF KNOTTED PERIODIC ORBITS IN DYNAMICAL SYSTEMS

DOI10.1142/S0218216594000083zbMath0814.57006OpenAlexW1967307154MaRDI QIDQ4293450

Michael C. Sullivan

Publication date: 26 May 1994

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216594000083

zbMATH Keywords

templatesbraid indexiterated torus knotsprime knotknots arising from dynamical systemssingularities of complex analytic curves

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (12)

Unnamed Item ⋮ A zeta function for flows with positive templates ⋮ Accumulations of infinite links ⋮ Odd Ghrist Templates are Universal ⋮ Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System ⋮ FACTORING FAMILIES OF POSITIVE KNOTS ON LORENZ-LIKE TEMPLATES ⋮ Simple Smale flows with a four band template ⋮ Unnamed Item ⋮ Quantum Invariants of Templates ⋮ The universal templates of Ghrist ⋮ Knots on a positive template have a bounded number of prime factors ⋮ Composite knots in the figure-8 knot complement can have any number of prime factors

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