  We investigate the existence and behavior of oscillons in theories in which
higher derivative terms are present in the Lagrangian, such as galileons. Such
theories have emerged in a broad range of settings, from higher-dimensional
models, to massive gravity, to models for late-time cosmological acceleration.
By focusing on the simplest example---massive galileon effective field
theories---we demonstrate that higher derivative terms can lead to the
existence of completely new oscillons (quasi-breathers). We illustrate our
techniques in the artificially simple case of 1 + 1 dimensions, and then
present the complete analysis valid in 2 + 1 and 3 + 1 dimensions, exploring
precisely how these new solutions are supported entirely by the non-linearities
of the quartic galileon. These objects have the novel peculiarity that they are
of the differentiability class $C^1$.
