  Systems of coupled sine circle maps show regimes of spatiotemporally
intermittent behaviour with associated scaling exponents which belong to the DP
class, as well as regimes of spatially intermittent behaviour (with associated
regular dynamical behaviour) which do not belong to the DP class. Both types of
behaviour are seen along the bifurcation boundaries of the synchronized
solutions, and contribute distinct signatures to the dynamical characterizers
of the system, viz. the distribution of eigenvalues of the one step stability
matrix. Within the spatially intermittent (SI) class, the temporal behaviour of
the burst solutions can be quasi-periodic or travelling wave. The usual
characterizers of bifurcations, i.e. the eigenvalues of the stability matrix
crossing the unit circle, pick up the bifurcation from the synchronized
solution to SI with quasi-periodic bursts but are unable to pick up the
bifurcation of the synchronized solution to SI with TW bursts. Other
characterizers, such as the Shannon entropy of the eigenvalue distribution, and
the rate of change of the largest eigenvalue with parameter are required to
pick up this bifurcation. This feature has also been seen for other
bifurcations in this system, e.g. that from the synchronized solution to kink
solutions. We therefore conjecture that in the case of high dimensional
systems, entropic characterizers provide better signatures of bifurcations from
one ordered solution to another.
