  Coupled map lattices have been widely used as models in several fields of
physics, such as chaotic strings, turbulence, and phase transitions, as well as
in other disciplines, such as biology (ecology, evolution) and information
processing. This paper investigates properties of periodic orbits in two
coupled Tchebyscheff maps. The zeta function cycle expansions are used to
compute dynamical averages appearing in Beck's theory of chaotic strings. The
results show close agreement with direct simulation for most values of the
coupling parameter, and yield information about the system complementary to
that of direct simulation.
