Diffusive coupled cyclic negative feedback systems

Oscillations in networks composed of Cyclic Negative Feedback systems (CNF systems) are widely used to mimic many periodic phenomena occurring in systems biology. In particular, the possible coexistence of different attractors permits to suitably describe the differentiating processes arising in living cells. The aim of the manuscript is to characterize, through a spectral based techniques, the complex global dynamical behaviors emerging in arrays of diffusively coupled CNF systems.