Instituto dei Sistemi Complessi - Italy
Visiting Scholar invited by research center LPTM
Curriculum Vitae
 

Research project

Emergent excitability in adaptive networks of non-excitable units

Population bursts in a large ensemble of coupled elements result from the interplay between the local excitable properties of the nodes and the global network topology. Here collective excitability and self-sustained bursting oscillations are shown to spontaneously emerge in adaptive networks of globally coupled non-excitable units. The ingredients to observe collective excitability are the coexistence of states with different degree of synchronizaton joined to a global feedback acting, on a slow timescale, against the synchronization (desynchronization) of the oscillators. These regimes emerge in two paradigmatic classes of coupled rotators: the Kuramoto model with and without inertia. For the bimodal Kuramoto model we will analytically show that the macroscopic evolution originates from the existence of a critical invariant manifold organizing the fast collective dynamics on a slow timescale. The results provide evidence that adaptation can induce excitability by maintaining a network permanently out-of-equilibrium.