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arXiv · 1411.0305

Stability of synchronization in dissipatively driven Frenkel-Kontorova models

Sinisa Slijepcevic
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Abstract

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.

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Sinisa Slijepcevic. 2014-11-02. Stability of synchronization in dissipatively driven Frenkel-Kontorova models. https://doi.org/10.1063/1.4928213

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