References analysis of the Wikipedia article "Stellar pulsation" in the English version

arxiv.org

Alcock, C.; Allsman, R. A.; Alves, D. R.; Axelrod, T. S.; Becker, A.; Bennett, D. P.; Cook, K. H.; Freeman, K. C.; Griest, K.; Lawson, W. A.; Lehner, M. J.; Marshall, S. L.; Minniti, D.; Peterson, B. A.; Pollard, Karen R.; Pratt, M. R.; Quinn, P. J.; Rodgers, A. W.; Sutherland, W.; Tomaney, A.; Welch, D. L. (1998). "The MACHO Project LMC Variable Star Inventory. VII. The Discovery of RV Tauri Stars and New Type II Cepheids in the Large Magellanic Cloud". The Astronomical Journal. 115 (5): 1921. arXiv:astro-ph/9708039. Bibcode:1998AJ....115.1921A. doi:10.1086/300317.

Soszyński, I.; Udalski, A.; Szymański, M. K.; Kubiak, M.; Pietrzyński, G.; Wyrzykowski, Ł.; Szewczyk, O.; Ulaczyk, K.; Poleski, R. (2008). "The Optical Gravitational Lensing Experiment. The OGLE-III Catalog of Variable Stars. II.Type II Cepheids and Anomalous Cepheids in the Large Magellanic Cloud". Acta Astronomica. 58: 293. arXiv:0811.3636. Bibcode:2008AcA....58..293S.

Grigahcène, A.; Antoci, V.; Balona, L.; Catanzaro, G.; Daszyńska-Daszkiewicz, J.; Guzik, J. A.; Handler, G.; Houdek, G.; Kurtz, D. W.; Marconi, M.; Monteiro, M. J. P. F. G.; Moya, A.; Ripepi, V.; Suárez, J. -C.; Uytterhoeven, K.; Borucki, W. J.; Brown, T. M.; Christensen-Dalsgaard, J.; Gilliland, R. L.; Jenkins, J. M.; Kjeldsen, H.; Koch, D.; Bernabei, S.; Bradley, P.; Breger, M.; Di Criscienzo, M.; Dupret, M. -A.; García, R. A.; García Hernández, A.; et al. (2010). "Hybrid γ Doradus-δ Scuti Pulsators: New Insights into the Physics of the Oscillations from Kepler Observations". The Astrophysical Journal. 713 (2): L192. arXiv:1001.0747. Bibcode:2010ApJ...713L.192G. doi:10.1088/2041-8205/713/2/L192.

Mosser, B.; Belkacem, K.; Goupil, M. -J.; Miglio, A.; Morel, T.; Barban, C.; Baudin, F.; Hekker, S.; Samadi, R.; De Ridder, J.; Weiss, W.; Auvergne, M.; Baglin, A. (2010). "Red-giant seismic properties analyzed with CoRoT". Astronomy and Astrophysics. 517: A22. arXiv:1004.0449. Bibcode:2010A&A...517A..22M. doi:10.1051/0004-6361/201014036. S2CID 27138238.

Kolláth, Z.; Buchler, J. R.; Szabó, R.; Csubry, Z.; Morel, T.; Barban, C.; Baudin, F.; Hekker, S.; Samadi, R.; De Ridder, J.; Weiss, W.; Auvergne, M.; Baglin, A. (2002). "Nonlinear beat Cepheid and RR Lyrae models". Astronomy and Astrophysics. 385 (3): 932–939. arXiv:astro-ph/0110076. Bibcode:2002A&A...385..932K. doi:10.1051/0004-6361:20020182. S2CID 17379206.

Buchler, J. Robert; Kolláth, Zoltán; Cadmus, Robert R. (2004). "Evidence for Low-dimensional Chaos in Semiregular Variable Stars". The Astrophysical Journal. 613 (1): 532–547. arXiv:astro-ph/0406109. Bibcode:2004ApJ...613..532B. doi:10.1086/422903. S2CID 17568307.

books.google.com

doi.org

Dziembowski, W. (1980). "δ Scuti variables: The link between giant- and dwarf-type pulsators". Nonradial and Nonlinear Stellar Pulsation. Lecture Notes in Physics. Vol. 125. pp. 22–33. Bibcode:1980LNP...125...22D. doi:10.1007/3-540-09994-8_2. ISBN 978-3-540-09994-9.

Buchler, J. R.; Goupil, M. -J. (1984). "Amplitude equations for nonadiabatic nonlinear stellar pulsators. I - the formalism". The Astrophysical Journal. 279: 394. Bibcode:1984ApJ...279..394B. doi:10.1086/161900.

Buchler, J. R. (1993). "A Dynamical Systems Approach to Nonlinear Stellar Pulsations". Astrophysics and Space Science. 210 (1–2): 9–31. Bibcode:1993Ap&SS.210....9B. doi:10.1007/BF00657870. S2CID 189850134.

Guckenheimer, John; Holmes, Philip; Slemrod, M. (1984). "Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields". Journal of Applied Mechanics. 51 (4): 947. Bibcode:1984JAM....51..947G. doi:10.1115/1.3167759.

Coullet, P. H.; Spiegel, E. A. (1983). "Amplitude Equations for Systems with Competing Instabilities". SIAM Journal on Applied Mathematics. 43 (4): 776–821. doi:10.1137/0143052.

Spiegel, E. A. (1985). "Cosmic Arrhythmias". Chaos in Astrophysics. pp. 91–135. doi:10.1007/978-94-009-5468-7_3. ISBN 978-94-010-8914-2.

Buchler, J. Robert; Kovacs, Geza (1987). "Modal Selection in Stellar Pulsators. II. Application to RR Lyrae Models". The Astrophysical Journal. 318: 232. Bibcode:1987ApJ...318..232B. doi:10.1086/165363.

Buchler, J. Robert; Moskalik, Pawel; Kovacs, Geza (1990). "A Survey of Bump Cepheid Model Pulsations". The Astrophysical Journal. 351: 617. Bibcode:1990ApJ...351..617B. doi:10.1086/168500.

Christy, Robert F. (1964). "The Calculation of Stellar Pulsation" (PDF). Reviews of Modern Physics. 36 (2): 555–571. Bibcode:1964RvMP...36..555C. doi:10.1103/RevModPhys.36.555.

Cox, Arthur N.; Brownlee, Robert R.; Eilers, Donald D. (1966). "Time-Dependent Method for Computation of Radiation Diffusion and Hydro-Dynamics". The Astrophysical Journal. 144: 1024. Bibcode:1966ApJ...144.1024C. doi:10.1086/148701.

Spiegel, E. A. (1985). "Cosmic Arrhythmias". Chaos in Astrophysics. pp. 91–135. doi:10.1007/978-94-009-5468-7_3. ISBN 978-94-010-8914-2.

Klapp, J.; Goupil, M. J.; Buchler, J. R. (1985). "Amplitude equations for nonadiabatic nonlinear stellar pulsators. II - Application to realistic resonant Cepheid models". The Astrophysical Journal. 296: 514. Bibcode:1985ApJ...296..514K. doi:10.1086/163471.

Konig, M.; Paunzen, E.; Timmer, J. (1999). "On the irregular temporal behaviour of the variable star R Scuti". Monthly Notices of the Royal Astronomical Society. 303 (2): 297. Bibcode:1999MNRAS.303..297K. doi:10.1046/j.1365-8711.1999.02216.x.

Aikawa, Toshiki (1990). "Intermittent Chaos in a Subharmonic Bifurcation Sequence of Stellar Pulsation Models". Astrophysics and Space Science. 164 (2): 295–307. Bibcode:1990Ap&SS.164..295A. doi:10.1007/BF00658831. S2CID 122497592.

Kovacs, Geza; Buchler, J. Robert (1988). "Regular and Irregular Nonlinear Pulsations in Population II Cepheid Models". The Astrophysical Journal. 334: 971. Bibcode:1988ApJ...334..971K. doi:10.1086/166890..

Aikawa, Toshiki (1987). "The Pomeau-Manneville Intermittent Transition to Chaos in Hydrodynamic Pulsation Models". Astrophysics and Space Science. 139 (2): 281–293. Bibcode:1987Ap&SS.139..281A. doi:10.1007/BF00644357. S2CID 121988055.

Letellier, C.; Gouesbet, G.; Soufi, F.; Buchler, J. R.; Kolláth, Z. (1996). "Chaos in variable stars: Topological analysis of W Vir model pulsations" (PDF). Chaos. 6 (3): 466–476. Bibcode:1996Chaos...6..466L. doi:10.1063/1.166189. PMID 12780277.

Packard, N. H.; Crutchfield, J. P.; Farmer, J. D.; Shaw, R. S. (1980). "Geometry from a time series". Physical Review Letters. 45 (9): 712. Bibcode:1980PhRvL..45..712P. doi:10.1103/PhysRevLett.45.712.

Buchler, J. Robert; Serre, Thierry; Kolláth, Zoltán; Mattei, Janet (1995). "A choatic pulsating star: The case of R Scuti". Physical Review Letters. 74 (6): 842–845. Bibcode:1995PhRvL..74..842B. doi:10.1103/PhysRevLett.74.842. PMID 10058863.

Leonov, G. A. (2013). "Shilnikov Chaos in Lorenz-Like Systems". International Journal of Bifurcation and Chaos. 23 (3): 1350058. Bibcode:2013IJBC...2350058L. doi:10.1142/S0218127413500582.

harvard.edu

ui.adsabs.harvard.edu

Van Hoolst, T. (1996). "Effects of nonlinearities on a single oscillation mode of a star". Astronomy and Astrophysics. 308: 66. Bibcode:1996A&A...308...66V.

Buchler, J. Robert; Moskalik, Pawel; Kovacs, Geza (1990). "A Survey of Bump Cepheid Model Pulsations". The Astrophysical Journal. 351: 617. Bibcode:1990ApJ...351..617B. doi:10.1086/168500.

Van Hoolst, Tim (1994). "Coupled-mode equations and amplitude equations for nonadiabatic, nonradial oscillations of stars". Astronomy and Astrophysics. 292: 471. Bibcode:1994A&A...292..471V.

Buchler, J. R.; Goupil, M. -J.; Hansen, C. J. (1997). "On the role of resonances in nonradial pulsators". Astronomy and Astrophysics. 321: 159. Bibcode:1997A&A...321..159B.

Christy, Robert F. (1964). "The Calculation of Stellar Pulsation" (PDF). Reviews of Modern Physics. 36 (2): 555–571. Bibcode:1964RvMP...36..555C. doi:10.1103/RevModPhys.36.555.

Leonov, G. A. (2013). "Shilnikov Chaos in Lorenz-Like Systems". International Journal of Bifurcation and Chaos. 23 (3): 1350058. Bibcode:2013IJBC...2350058L. doi:10.1142/S0218127413500582.

nih.gov

pubmed.ncbi.nlm.nih.gov

semanticscholar.org

api.semanticscholar.org

Stellar pulsation (English Wikipedia)

archives-ouvertes.fr

hal.archives-ouvertes.fr