TY - JOUR
T1 - Target patterns in two-dimensional heterogeneous oscillatory reaction-diffusion systems
AU - Stich, Michael
AU - Mikhailov, Alexander S.
PY - 2006/3/1
Y1 - 2006/3/1
N2 - Properties of target patterns created by pacemakers, representing local regions with the modified oscillation frequency, are studied for two-dimensional oscillatory reaction-diffusion systems described by the complex Ginzburg-Landau equation. An approximate analytical solution, based on the phase dynamics approximation, is constructed for a circular core and compared with numerical results for circular and square cores. The dependence of the wavenumber and frequency of generated waves on the size and frequency shift of the pacemaker is discussed. Instabilities of target patterns, involving repeated creations of ring-shaped amplitude defects, are further considered.
AB - Properties of target patterns created by pacemakers, representing local regions with the modified oscillation frequency, are studied for two-dimensional oscillatory reaction-diffusion systems described by the complex Ginzburg-Landau equation. An approximate analytical solution, based on the phase dynamics approximation, is constructed for a circular core and compared with numerical results for circular and square cores. The dependence of the wavenumber and frequency of generated waves on the size and frequency shift of the pacemaker is discussed. Instabilities of target patterns, involving repeated creations of ring-shaped amplitude defects, are further considered.
KW - Pattern formation
KW - Reaction-diffusion systems
KW - Target patterns
UR - http://www.scopus.com/inward/record.url?scp=33644919392&partnerID=8YFLogxK
UR - https://www.sciencedirect.com/science/article/pii/S0167278906000236?via%3Dihub
U2 - 10.1016/j.physd.2006.01.011
DO - 10.1016/j.physd.2006.01.011
M3 - Article
AN - SCOPUS:33644919392
SN - 0167-2789
VL - 215
SP - 38
EP - 45
JO - Physica D
JF - Physica D
IS - 1
ER -