S. Rajasekar et Kpn. Murthy, DYNAMICAL EVOLUTION OF ESCAPE PROBABILITY IN THE PRESENCE OF SINAI DISORDER, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1315-1318
The escape probability x(i) from a site i on a Sinai lattice is treate
d as a discrete dynamical evolution by random iterations over two nonl
inear maps. The maps arise in the context of a dichotomic model for Si
nai diffusion. The global dynamics exhibits intermittent behavior with
a long sojourn in the vicinity of a common fixed point of the maps. T
he intermittent dynamics is found to be nonchaotic. The intermittent b
ehavior is characterized by a laminar interval, correlation function,
and power spectrum. [S1063-651X(98)03302-9].