Kavli Affiliate: Chiara Daraio
| First 5 Authors: Christopher Chong, Brian Kim, Evelyn Wallace, Chiara Daraio,
| Summary:
We demonstrate the existence of wavenumber bandgap (q-gap) breathers in a
time-periodic phononic lattice. These breathers are localized in time and
periodic in space, and are the counterparts to the classical breathers found in
spatially-periodic systems. We derive an exact condition for modulation
instability that leads to the opening of wavenumber bandgaps. The q-gap
breathers become more narrow and larger in amplitude as the wavenumber goes
further into the bandgap. In the presence of damping, these structures acquire
a non-zero, oscillating tail. The experiment and model exhibit qualitative
agreement.
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