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Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings

Statistical Mechanics 2009-10-30 v1 chao-dyn Chaotic Dynamics

Abstract

The spatiotemporal dynamics of a damped sine-Gordon chain with sinusoidal nearest-neighbor couplings driven by a constant uniform force are discussed. The velocity characteristics of the chain versus the external force is shown. Dynamics in the high- and low-velocity regimes are investigated. It is found that in the high-velocity regime, the dynamics is dominated by rotating modes, the velocity shows a branching bifurcation feature, while in the low-velocity regime, the velocity exhibits step-like dynamical transitions, broken by the destruction of strong resonances.

Keywords

Cite

@article{arxiv.cond-mat/9712226,
  title  = {Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings},
  author = {Zhigang Zheng and Bambi Hu and Gang Hu},
  journal= {arXiv preprint arXiv:cond-mat/9712226},
  year   = {2009}
}

Comments

10 Revtex pages, 8 Eps figures, to appear in Phys. Rev.E 57(1998)