Stability of synchronization in dissipatively driven Frenkel-Kontorova models.
We rigorously show that dissipatively driven Frenkel-Kontorova models with either uniform or time-periodic driving asymptotically synchronize for a wide range of initial conditions. The main tool is a new Lyapunov function, as well as a 2D representation of the attractor. We then characterize dynamical phase transitions and outline new algorithms for determining them.
Department of Mathematics, Bijenička 30, Zagreb, Croatia.
Siniša
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Slijepčević