B V Chirikov and F Vivaldi
An algorithmic view of pseudochaos
(58K, LATeX 2e)
ABSTRACT. The controversial concept of quantum chaos -the dynamical chaos
in bounded mesoscopic quantum systems- is presented as the most
important and universal instance of a new generic dynamical
phenomenon: pseudochaos.
The latter characterizes the irregular behaviour of dynamical
systems with discrete energy and/or frequency spectrum,
which include classical systems with discrete phase space.
The question of randomness is addressed in terms of the algorithmic
theory of dynamical systems, using the Arnold cat map for illustration.
The relationship between the algorithmic theory and ergodic theory
is discussed.