Abstract: Intermittent behavior near the boundary of phase
synchronization in the presence of noise is studied. In certain range of
the coupling parameter and noise intensity the intermittency of eyelet
and ring intermittencies is shown to take place. Main results are
illustrated using the example of two unidirectional coupled Rössler
systems. Similar behavior is shown to take place in two
hydrodynamical models of Pierce diode coupled unidirectional.
Abstract: We present on the method of inverse coherence matrix for the estimation of network connectivity from multivariate time series of a complex system. In a model system of coupled chaotic oscillators, it is shown that the inverse coherence matrix defined as the inverse of cross coherence matrix is proportional to the network connectivity. Therefore the inverse coherence matrix could be used for the distinction between the directly connected links from indirectly connected links in a complex network. We compare the result of network estimation using the method of the inverse coherence matrix with the results obtained from the coherence matrix and the partial coherence matrix.