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nlin.PS2018
Stable and Unstable Vortex Knots in Excitable Media
Jack Binysh, Carl A. Whitfield, Gareth P. Alexander
We study the dynamics of knotted vortices in a bulk excitable medium using the FitzHugh-Nagumo model. From a systematic survey of all knots of at most eight crossings we establish…
math-ph2018
Maxwell's Theory of Solid Angle and the Construction of Knotted Fields
Jack Binysh, Gareth P. Alexander
We provide a systematic description of the solid angle function as a means of constructing a knotted field for any curve or link in . This is a purely geometric const…