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Knot theory based on the minimal braid in Lorenz system

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Publication:930159
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DOI10.1007/s10773-007-9513-0zbMath1145.05326OpenAlexW2052077908MaRDI QIDQ930159

Yagang Zhang, Zengping Wang

Publication date: 23 June 2008

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-007-9513-0


zbMATH Keywords

knotsymbolic dynamicsLorenz systemminimal braid


Mathematics Subject Classification ID

Applications of graph theory (05C90)


Related Items

Bifurcation criterion of faults in complex nonlinear systems ⋮ UNIVERSAL FORM OF RENORMALIZABLE KNOTS IN SYMBOLIC DYNAMICS OF BIMODAL MAPS



Cites Work

  • Branching polymers, knot theory and Cantorian spacetime
  • Dynamics retrospective: Great problems, attempts that failed
  • A mathematical model for enzymatic action on DNA knots and links
  • Algorithms for recognizing knots and 3-manifolds
  • The Lorenz equations: bifurcations, chaos, and strange attractors
  • Dual star products and symbolic dynamics of Lorenz maps with the same entropy
  • Branched two-manifolds supporting all links
  • Lorenz knots are prime
  • Solving tangle equations arising in a DNA recombination model
  • Chaos in the Lorenz equations: a computer-assisted proof
  • BIOLOGICAL DISTANCES ON DNA KNOTS AND LINKS: Applications to XER recombination
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