Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings
Zhigang Zheng, Bambi Hu, and Gang Hu (Center for Nonlinear Studies and, Department of Physics, Hong Kong Baptist University, China)
TL;DR
This paper investigates the complex spatiotemporal behavior of a damped sine-Gordon chain with sinusoidal couplings under external driving, revealing distinct high- and low-velocity dynamical regimes and bifurcation phenomena.
Contribution
It provides a detailed analysis of the velocity-force characteristics and identifies bifurcation and resonance effects in the dynamics of sine-Gordon lattices.
Findings
High-velocity regime dominated by rotating modes
Velocity exhibits branching bifurcation features
Low-velocity regime shows step-like dynamical transitions
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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