Topological interpretation of subharmonic mode locking in coupled oscillators with inertia

Details Topological interpretation of subharmonic mode locking in coupled oscillators with inertia Topological interpretation of subharmonic mode locking in coupled oscillators with inertia

2001-05-22

arxiv.org/abs/cond-mat/0105421v1

Physics

Condensed Matter

To appear in Physical Review B

Scientific paper

10.1103/PhysRevB.64.014305

A topological argument is constructed and applied to explain subharmonic mode locking in a system of coupled oscillators with inertia. Via a series of transformations, the system is shown to be described by a classical XY model with periodic bond angles, which is in turn mapped onto a tight-binding particle in a periodic gauge field. It is then revealed that subharmonic quantization of the average phase velocity follows as a manifestation of topological invariance. Ubiquity of multistability and associated hysteresis are also pointed out.

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