Observation of Periodic Orbits on Curved Two-Dimensional Geometries
Observation of Periodic Orbits on Curved Two-Dimensional Geometries
We measure elastomechanical spectra for a family of thin shells. We show that these spectra can be described by a "semiclassical" trace formula comprising periodic orbits on geodesics, with the periods of these orbits consistent with those extracted from experiment. The influence of periodic orbits on spectra in the case …