Double-Mode Stellar Pulsations

Abstract

The status of the hydrodynamical modelling of nonlinear multi-mode stellar pulsations is discussed. The hydrodynamical modelling of steady double-mode (DM) pulsations has been a long-standing quest that is finally being concluded. Recent progress has been made thanks to the introduction of turbulent convection in the numerical hydrodynamical codes which provide detailed results for individual models. An overview of the modal selection problem in the HR diagram can be obtained in the form of bifurcation diagrams with the help of simple nonresonant amplitude equations that capture the DM phenomenon.

34 pages, to appear as a chapter in Nonlinear Stellar Pulsation in the Astrophysics and Space Science Library (ASSL), Editors: M. Takeuti & D. Sasselov (prints double column with pstops '2:[email protected](22.0cm,-2cm)[email protected](22.0cm,11.0cm)' in.ps out.ps)

References in corpus (2)

• The Optical Gravitational Lensing Experiment. Cepheids in the Magellanic Clouds. VI. Double-Mode Cepheids in the Large Magellanic Cloud
• Turbulent Convection in Pulsating Stars

Cited by in corpus (17)

• Nonlinear Beat Cepheid and RR Lyrae Models
• Period doubling bifurcation and high-order resonances in RR Lyrae hydrodynamical models
• Multiple and changing cycles of active stars I. Methods of analysis and application to the solar cycles
• The Kepler Cepheid V1154 Cyg revisited: light curve modulation and detection of granulation
• An RR Lyrae family portrait: 33 stars observed in Pisces with K2-E2
• Detection of Beat Cepheids in M33 and Their Use as a Probe of the M33 Metallicity Distribution
• Beat Cepheids as Probes of Stellar and Galactic Metallicity
• Period-doubling events in the light curve of R Cygni: evidence for chaotic behaviour
• Mode Switching Time Scales in the Classical Variable Stars
• V473 Lyrae, a unique second-overtone Cepheid with two modulation cycles
• Asteroseismology of RR Lyrae stars with non-radial modes
• Low-dimensional chaos in RR Lyrae models
• Can turbulent convective variations drive the Blazhko cycle? Dynamical investigation of the Stothers idea
• Finest light curve details, physical parameters, and period fluctuations of CoRoT RR Lyrae stars
• Pulsational and evolutionary analysis of the double-mode RR Lyrae star BS Com
• New results in RR Lyrae modeling: convective cycles, additional modes and more
• Multimode Radiative beta Cephei and delta Cephei Models