Coupled maps and pattern formation on the Sierpinski gasket.
The bifurcation structure of coupled maps on the Sierpinski gasket is investigated. The fractal character of the underlying lattice gives rise to stability boundaries for the periodic synchronized states with unusual features and spatially inhomogeneous states with a complex structure. The results are illustrated by calculations on coupled quadratic and cubic maps. For the coupled cubic map lattice bistability and domain growth processes are studied.
Cosenza
Mario G.
MG
Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario M5S 1A1, Canada.
Kapral
Raymond
R