TY - JOUR
T1 - Knotted reaction-diffusion waves
AU - McDermott, S.
AU - Mulholland, Anthony
AU - Gomatam, J.
PY - 2002/12/8
Y1 - 2002/12/8
N2 - 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.
AB - 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.
UR - https://pureportal-staging.strath.ac.uk/en/publications/d114ebe7-57ac-4a65-a8d2-b17adb871eb0
U2 - 10.1098/rspa.2002.0997
DO - 10.1098/rspa.2002.0997
M3 - Article (Academic Journal)
SN - 1471-2946
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
ER -