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Nonlinearity of Nonradial Modes in Evolved Stars
Authors:Rafał M. Nowakowski  Wojciech A. Dziembowski
Affiliation:(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:  /content/w56216l187536582/xxlarge948.gif"   alt="  delta"   align="  BASELINE"   BORDER="  0"  >-Scuti stars  RR Lyrae stars
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