In this paper we present an application of a new technique, based on recent work done by Liu & Ricca (2012), to quantify structural complexity by means of topological methods. These rely on the derivation of the Jones polynomial from the helicity of ideal fluid flows. The techniques discussed here can be extended and applied to real fluid flows subject to continuous topological restructuring.
Ricca, R. (2012). Tackling fluid tangles complexity by knot polynomials. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 (pp.646-649). AIP [10.1063/1.4756217].
Tackling fluid tangles complexity by knot polynomials
RICCA, RENZO
2012
Abstract
In this paper we present an application of a new technique, based on recent work done by Liu & Ricca (2012), to quantify structural complexity by means of topological methods. These rely on the derivation of the Jones polynomial from the helicity of ideal fluid flows. The techniques discussed here can be extended and applied to real fluid flows subject to continuous topological restructuring.
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