Measure synchronization in a coupled Hamiltonian associated with the motion of particles in a periodic potential

Abstract

We report here, the existence of measure synchronization (MS) in a coupled Hamiltonian system associated with the motion of particles in a periodic potential of the pendulum type. We show that the oscillators can assume chaotic MS stares vis quasiperiodic measure desynchrononized state. In the chaotic MS state, the phase difference of the tow oscillators performs a stick-slip and random-walk-like motion analogous to the phenonomention of intermittency already established in the classical chaotic pendulum.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 127-136