Abstract
Decay to asymptotic steady state in one-dimensional logistic-like
mappings is characterized by considering a phenomenological description
supported by numerical simulations and confirmed by a theoretical
description. As the control parameter is varied bifurcations in the
fixed points appear. We verified at the bifurcation point in both; the
transcritical, pitchfork and period-doubling bifurcations, that the
decay for the stationary point is characterized via a homogeneous
function with three critical exponents depending on the nonlinearity of
the mapping. Near the bifurcation the decay to the fixed point is
exponential with a relaxation time given by a power law whose slope is
independent of the nonlinearity. The formalism is general and can be
extended to other dissipative mappings. (C) 2015 Elsevier B.V. All
rights reserved.
Users
Please
log in to take part in the discussion (add own reviews or comments).