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Rings on strings in excitable media.

Maucher, Fabian and Sutcliffe, Paul (2018) 'Rings on strings in excitable media.', Journal of physics A : mathematical and theoretical., 51 (5). 055102.


We study the dynamics and interaction of coaxial vortex rings in the FitzHugh–Nagumo excitable medium. We find that threading vortex rings with a vortex string results in significant qualitative differences in their evolution and interaction. In particular, threading prevents the annihilation of rings in a head-on collision, allows generic ring overtaking, and can even reverse the direction of motion of a ring. We identify that an important mechanism for producing this new behaviour is that threaded vortex rings interact indirectly via induced twisting of the threading vortex string.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Publisher statement:This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Date accepted:11 December 2017
Date deposited:16 January 2018
Date of first online publication:05 January 2018
Date first made open access:05 January 2019

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