Title: Multifractal invariant measures in expanding piecewise linear coupled maps,
Abstract: We analyze invariant measures of two coupled piecewise linear and everywhere
expanding maps on the synchronization manifold. We observe that though the
individual maps have simple and smooth functions as their stationary densities,
they become multifractal as soon as two of them are coupled nonlinearly even
with a small coupling. For some maps, the multifractal spectrum seems to be
robust with the coupling or map parameters and for some other maps, there is a
substantial variation. The origin of the multifractal spectrum here is
intriguing as it does not seem to conform to the existing theory of
multifractal functions.