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Mode Selection and Other Nonlinear Phenomena in Stellar Oscillations

Published online by Cambridge University Press:  12 April 2016

W.A. Dziembowski
W.A. Dziembowski*
Affiliation:
Copernicus Astronomical Center, Warszawa, Poland

Abstract

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Nonlinear effects determining the amplitudes of unstable modes of oscillations in stellar modes, are reviewed. The two basic processes - saturation of the driving mechanism and resonant mode coupling - are discussed within the framework of the amplitude equation formalism. There are difficult problems in the theory of multiple mode interaction that must be solved to make a prediction of amplitude spectra possible. The observed spectra for δ Scu stars and other multiperiodic variables, exhibit no simple pattern that would suggest a solution of the theoretical problems.

Type
VI. Asteroseismology: theory
Information
International Astronomical Union Colloquium , Volume 137: Inside the Stars , 1993 , pp. 521 - 534
Copyright
Copyright © Astronomical Society of the Pacific 1993

References

Balona, L.A., & Stobie, R.S., 1980, MNRAS,190, 231.CrossRefGoogle Scholar
Breger, M., 1992, In Nonlinear Phenomena in Stellar Variability, ed. Takeuti, M. & Buchler, J.R., special issue of Ap&SS, in press.Google Scholar
Breger, M., Garrido, R., Lin, H., Shi-yang, J., Zi-he, G., Frueh, M., & Paparo, M., 1989, A&A, 214, 209.Google Scholar
Breger, M., McNamara, B.J., Kerschbaum, F., Lin, H., Shi-yang, J., Zi-he, G., & Poretti, E., 1990, A&A, 231, 56.Google Scholar
Buchler, J.R. & Goupil, M.-J., 1984, ApJ, 279, 394.CrossRefGoogle Scholar
Buchler, J.R. and Kovács, G., 1986, ApJ, 318, 232.CrossRefGoogle Scholar
Buchler, J.R. and Kovács, G., 1988, In Advanves in Helio- and Asteroseismology, ed. Christensen-Dalsgaard, J. & Frandsen, S., (Dordrecht:reidel), p.393.CrossRefGoogle Scholar
Buchler, J.R., Moskalik, P., & Kovács, G., 1990, ApJ, 351, 617.CrossRefGoogle Scholar
Dziembowski, W., 1977, Acta Astron., 27, 95.Google Scholar
Dziembowski, W., & Kovács, G., 1984, MNRAS, 206, 497.CrossRefGoogle Scholar
Dziembowski, W., & Królikowska, M., 1985 Acta Astron., 35, 5.Google Scholar
Dziembowski, W., & Królikowska, M. 1990 Acta Astron., 40, 19.Google Scholar
Dziembowski, W., Królikowska, M., & Kosovichev, A., 1988 Acta Astron., 38, 61.Google Scholar
Goupil, M.J., Michel, E., Leberton, Y, & Baglin, A., 1992, A&A, in press.Google Scholar
Ishida, T., 1990, Ap&SS 168, 243.Google Scholar
Kepler, S.O., et al., 1992, ApJ, in press.Google Scholar
Klapp, J., Goupil, M.J., & Buchler, J.R., 1985, ApJ, 296, 514.CrossRefGoogle Scholar
Kovács, G., & Buchler, R.J., 1988, 334, 971.Google Scholar
Kurtz, D.W., 1982, MNRAS, 200, 807.CrossRefGoogle Scholar
Kurtz, D.W., Kanaan, A., & Martinez, P., 1982, MNRASin press.Google Scholar
Mantegazza, L., Poretti, E., Antonello, E., & Riboni, E., 1992, A&A, 256, 113.Google Scholar
Michel, E., et al., 1992, A&A, 255, 139..Google Scholar
Moskalik, P., 1986, Acta Astron., 36, 333.Google Scholar
Osaki, Y., 1977, PASJ, 29, 235.Google Scholar
O’Donoghue, , Warner, B., & Cropper, M., 1992, MNRAS, in press.Google Scholar
Simon, N.R., & Lee, A.S., 1981, ApJ, 248, 291.CrossRefGoogle Scholar
Simon, N.R., & Schmidt, E.G., 1976, ApJ, 205, 162.CrossRefGoogle Scholar
Stellingwerf, R.F., 1975, ApJ, 195, 441.CrossRefGoogle Scholar
Stellingwerf, R.F., 1978, AJ, 83, 1184.CrossRefGoogle Scholar
Sterken, C., Jerzykiewicz, M., & Manfroid, J., 1986, A&A, 169, 160.Google Scholar
Vandakurov, Yu.V., 1981, Soviet.Astron. Letters, 7, 128.Google Scholar
Walraven, Th. Walraven, , & Balona, L.A., 1992, preprint.Google Scholar
Winget, D.E., et al., 1991, ApJ, 378, 326.CrossRefGoogle Scholar
Winget, D.E., Van Horn, H.M., & Hansen, C.J., 1981, ApJ, 245, L33.CrossRefGoogle Scholar
Woltjer, J. jr., 1935, MNRAS, 95, 260.CrossRefGoogle Scholar