Links, Knots, and Knotted Labyrinths in Bistable Systems.

The existence of stable links and knots is demonstrated in three-dimensional, bistable, chemical media. The reaction-diffusion medium segregates into regions of high and low concentration separated by sharp interfaces. The interfaces repel at short distances so that domains with various topologies are possible depending on the initial conditions and system parameters. Front instabilities can give rise to knotted labyrinthine patterns. A lattice-gas model whose mean-field limit is the FitzHugh-Nagumo equation is described and implemented to carry out the simulations.

• Publication year

  1996

• Venue

  Physical Review Letters

• Publication date

  1996-06-17

• Fields of study

  Medicine, Physics, Chemistry

• Identifiers
  DOI 10.1103/PhysRevLett.77.767arXiv patt-sol/9606003PMID 10062897
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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