Knotted reaction-diffusion waves

McDermott, S. and Mulholland, A.J. and Gomatam, J. (2002) Knotted reaction-diffusion waves. Proceedings A: Mathematical, Physical and Engineering Sciences, 458 (2028). pp. 2947-2966. ISSN 1471-2962 (http://dx.doi.org/10.1098/rspa.2002.0997)

Abstract

The prevalence of toroidal scroll waves in experimental studies of excitable reaction-diffusion media motivates this study. To understand the dynamics of these structures in three dimensions we study their interactions with a toroidal manifold. Using an eikonal formulation we demonstrate the existence and stability of both rigidly rotating knotted-waveforms and stationary solutions. We also show that the full reaction-diffusion system supports knotted waves, with good quantitative agreement with the eikonal formulation.

ORCID iDs

Mulholland, A.J. ORCID: https://orcid.org/0000-0002-3626-4556

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• Item metadata

  Item type:	Article
  ID code:	2073
  Dates:	Date Event 8 December 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	27 Jan 2007
  Last modified:	29 Jan 2025 18:22
  URI:	https://strathprints.strath.ac.uk/id/eprint/2073