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Stellar Oscillons
Author(s) -
UMURHAN O.M.,
TAO L.,
SPIEGEL E.A
Publication year - 1998
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1998.tb11265.x
Subject(s) - instability , physics , nonlinear system , wavenumber , dissipation , classical mechanics , plane (geometry) , polytrope , pattern formation , thermal , mechanics , geometry , mathematics , optics , polytropic process , quantum mechanics , biology , meteorology , genetics
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.