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Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings

Zhigang Zheng·Bambi Hu·Gang Hu
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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.

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BibTeXRIS

Zhigang Zheng, Bambi Hu, Gang Hu. 1997-12-19. Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings. https://doi.org/10.1103/physreve.57.1139

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