"Glassy dynamics hindering synchronization in a Hamiltonian system"
We present recent numerical simulations of a fully coupled Hamiltonian system of classical rotators. The system shows interesting dynamical anomalies before syncrhonization towards the equilibrium in an energy range before a second order phase transition. For out-of equilibrium initial conditions, the system rapidly cools down and gets trapped in a complex energy landscape, showing a metastable glassy dynamics. This situation seems quite generic and common to other nonextensive systems. Connections to Tsallis thermostatics and spin-glasses is addressed. A comparison with Kuramoto model is also discussed.