Complete synchronization in extended systems and percolation transition

  • Antonio Politi (Istituto Nazionale di Ottica, Florence, Italy)
A3 02 (Seminar room)


Transition to (complete) synchronization in extended systems can occur via two different scenarios One corresponds to multiplicative noise transition and is described by a Kardar-Parisi-Zhang equation with a repulsive wall.

A second scenario is that of directed percolation. The problem can also be mapped onto (non-equilibrium) wetting transitions. A finite-amplitude Lyapunov analysis helps understanding the macrosocpic behaviour.