Spatiotemporal intermittency on fractal lattices.
The transition to turbulence via spatiotemporal intermittency is investigated for coupled maps defined on generalized Sierpinski gaskets, a class of deterministic fractal lattices. Critical exponents that characterize the onset of intermittency are computed as a function of the fractal dimension of the lattice. Windows of spatiotemporal intermittency are found as the coupling parameter is varied for lattices with a fractal dimension greater than two. This phenomenon is associated with a collective chaotic behavior of the fractal array of coupled maps.
Cosenza
Mario G.
MG
Postgrado de Astronomia y Astrofisica, Facultad de Ciencias, Universidad de Los Andes, Apartado No. 26, Ipostel La Hechicera, Merida 5251, VenezuelaChemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto M5S 1A1, Canada.
Kapral
Raymond
R