Mode dynamics of interacting neural populations by bi-orthogonal spectral decomposition

A system of coupled bistable Hopf oscillators with an external periodic inp ut source was used to model the ability of interacting neural populations t o synchronize and desynchronize in response to variations of the input sign al. We propose that, in biological systems, the settings of internal and ex ternal coupling strengths will affect the behaviour of the system to a grea ter degree than the input frequency. While input frequency and coupling str ength were varied, the spatio-temporal dynamics of the network was examined by the biorthogonal decomposition technique. Within this method, effects o f variation of input frequency and coupling strength were analyzed in terms of global, spatial and temporal mode entropy and energy, using the spatiot emporal data of the system. We observed a discontinuous evolution of spatio -temporal patterns depending sensitively on both the input frequency and th e internal and external coupling strengths of the network.