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Nonlinearity of Nonradial Modes in Evolved Stars
Authors:Rafał M Nowakowski  Wojciech A Dziembowski
Institution:(1) Copernicus Astronomical Center, Bartycka 18, 00-716 Warsaw, Poland;(2) Warsaw University Observatory, Al. Ujazdowskie 4, 00-478 Warsaw, Poland
Abstract:We show that in evolved stars, even at relatively low surfaceamplitudes, nonradial modes become strongly nonlinear in thehydrogen shell source, where the Brunt-Väisälä frequency hasits absolute maximum. The measure of nonlinearity is the productof horizontal displacement times the radial wavenumber, 
$$\left| {\xi _H k_r } \right|$$
. It becomes large already in evolved delta-Scuti stars.This nonlinearity presents a major problem for interpretations ofamplitude modulation in RR Lyrae stars in terms of nonradial modeexcitation.
Keywords:delta-Scuti stars" target="_blank">gif" alt="delta" align="BASELINE" BORDER="0">-Scuti stars  RR Lyrae stars
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