Stability of synchronization in dissipatively driven Frenkel-Kontorova models
Dynamical Systems
2015-09-02 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1411.0305,
title = {Stability of synchronization in dissipatively driven Frenkel-Kontorova models},
author = {Sinisa Slijepcevic},
journal= {arXiv preprint arXiv:1411.0305},
year = {2015}
}