engleski

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.

Attractors ; Phase transitions ; Spatial analysis ; Ground states ; Partial differential equations

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