  We use the visibility algorithm to construct the time series networks
obtained from the time series of different dynamical regimes of the logistic
map. We define the simplicial characterisers of networks which can analyse the
simplicial structure at both the global and local levels. These characterisers
are used to analyse the TS networks obtained in different dynamical regimes of
the logisitic map. It is seen that the simplicial characterisers are able to
distinguish between distinct dynamical regimes. We also apply the simplicial
characterisers to time series networks constructed from fMRI data, where the
preliminary results indicate that the characterisers are able to differentiate
between distinct TS networks.
