Two-Scale Oscillons
  Oscillons are spatially stationary, quasi-periodic solutions of nonlinear
field theories seen in settings ranging from granular systems, low temperature
condensates and early universe cosmology. We describe a new class of oscillon
in which the spatial envelope can have "off centre" maxima and pulsate on
timescales much longer than the fundamental frequency. These are exact
solutions of the 1-D sine-Gordon equation and we demonstrate numerically that
similar solutions exist in up to three dimensions for a range of potentials.
The dynamics of these solutions match key properties of oscillons that may form
after cosmological inflation in string-motivated monodromy scenarios.
