Coupling effects in networks of cyclic negative feedback systems

Negative feedback control loops are widely used in numerous models of periodic phenomena occurring in systems biology, since they give rise to sustained oscillations. In particular, the possible coexistence of different attractors permits to suitably describe the differentiating processes arising in the cell. The aim of this work is to study coupled systems of such kind through spectral techniques, in order to characterize the various complex dynamical behaviors that can emerge due to the couplings.