We study the weakly nonlinear evolution of acoustic instability of a plane-
parallel polytrope with thermal dissipation in the form of Newton's law of
cooling. The most unstable horizontal wavenumbers form a band around zero and
this permits the development of a nonlinear pattern theory leading to a complex
Ginzburg-Landau equation (CGLE). Numerical solutions for a subcritical, quintic
CGLE produce vertically oscillating, localized structures that resemble the
oscillons observed in recent experiments of vibrated granular material.Comment: 12 Latex pages using aasms4.sty, 2 postscript figures, submitted to
the proceedings of the Florida Workshop in Nonlinear Astrophysics and Physic