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Since CoRoT observations unveiled the very low amplitude modes that form a flat plateau in the power spectrum structure of delta Scuti stars, the nature of this phenomenon, including the possibility of spurious signals due to the light…

Solar and Stellar Astrophysics · Physics 2017-05-03 S. Barceló Forteza , T. Roca Cortés , A. García Hernandez , R. A. García

Space missions like CoRoT and Kepler have provided numerous new observations of stellar oscillations in a multitude of stars by high precision photometry. This work compares the observed rich oscillation spectrum of the rapidly rotating B3…

Solar and Stellar Astrophysics · Physics 2015-06-17 G. J. Savonije

On the main sequence, the asteroseismic small frequency separation $\delta\nu_{02}$ between radial and quadrupole p-modes is customarily interpreted to be a direct diagnostic of internal structure. Such an interpretation is based on a…

Solar and Stellar Astrophysics · Physics 2025-01-10 J. M. Joel Ong , Christopher J. Lindsay , Claudia Reyes , Dennis Stello , Ian W. Roxburgh

We consider a two-parametric family of radially anisotropic models with non-singular density distribution in the centre. If highly eccentric orbits are locked near the centre, the characteristic growth rate of the instability is much less…

Astrophysics of Galaxies · Physics 2015-08-06 E. V. Polyachenko , I. G. Shukhman

It has been shown that there is a potential ambiguity in the asteroseismic determination of the location of internal structures in a pulsating star. We show how, in the case of high-order non-radial acoustic modes, it is possible to remove…

Astrophysics · Physics 2009-11-10 Andrea Miglio , Elio Antonello

Recent observations indicate that solar p-mode line profiles are not exactly Lorentzian, but rather exhibit varying amounts of asymmetry about their respective peaks. We analyze p-mode line asymmetry using both a simplified one-dimensional…

Astrophysics · Physics 2007-05-23 Pawan Kumar , Douglas Abrams

Successful inference from asteroseismology relies on at least two things: that the oscillations in the stars have amplitudes large enough to be clearly observable; and that the oscillations themselves be stable enough to enable precise…

Solar and Stellar Astrophysics · Physics 2015-05-13 W. J. Chaplin , G. Houdek , C. Karoff , Y. Elsworth , R. New

Thanks to their high quality, new and upcoming asteroseismic observations - with CoRoT, Kepler, and from the ground... - can benefit from the experience gained with helioseismology. We focus in this paper on solar-like oscillations, for…

Astrophysics · Physics 2008-04-02 J. Ballot , T. Appourchaux , T. Toutain , M. Guittet

Using linear non-adabatic pulsation analysis, we explore the radial-mode (p-mode) stability of stars across a wide range of mass (0.2 <= M <= 50 Msun), composition (0 <= X <= 0.7, Z=0.001, 0.02), effective temperature (3 000 <= T_eff <= 40…

Solar and Stellar Astrophysics · Physics 2016-03-09 C. S. Jeffery , H. Saio

We consider the noise-induced transitions in the randomly perturbed discrete logistic map from a linearly stable periodic orbit consisting of T periodic points. The traditional large deviation theory and asymptotic analysis for small noise…

Chaotic Dynamics · Physics 2016-04-20 Yu Cao , Ling Lin , Xiang Zhou

We study the nature of motion in a 3D potential composed of perturbed elliptic oscillators. Our technique is to use the results obtained from the 2D potential in order to find the initial conditions generating regular or chaotic orbits in…

Astrophysics of Galaxies · Physics 2012-06-26 Nicolaos D. Caranicolas , Euaggelos E. Zotos

We present complete 2D computations of g modes in distorted polytropic models of stars performed with the Two-dimensional Oscillation Program (TOP). We computed low-degree modes (l=1 modes with radial order n=-1...-14, and l=2,3 modes with…

Solar and Stellar Astrophysics · Physics 2015-03-19 J. Ballot , F. Lignières , V. Prat , D. R. Reese , M. Rieutord

This paper presents an analysis of observational data on the p-mode spectrum of the star alpha Cen B and a comparison with theoretical computations of the stochastic excitation and damping of the modes. We find that at frequencies > 4500…

Astrophysics · Physics 2011-02-11 W. J. Chaplin , G. Houdek , Y. Elsworth , R. New , T. R. Bedding , H. Kjeldsen

Sub-photospheric acoustic resonators allow for the formation of standing p-mode oscillations by reflecting acoustic waves with frequencies below the acoustic cut-off frequency. We employ the Klein-Gordon equation with a piecewise acoustic…

Solar and Stellar Astrophysics · Physics 2024-08-22 Dmitrii Y. Kolotkov , Anne-Marie Broomhall , Amir Hasanzadeh

We study the global stability of non-axisymmetric p-modes (also called inertial-acoustic modes) trapped in the inner-most regions of accretion discs around black holes. We show that the lowest-order (highest-frequency) p-modes, with…

Astrophysics · Physics 2009-11-13 Dong Lai , David Tsang

Pulsational variability is observed in several types of main sequence stars with anomalous chemical abundances. In this contribution I summarize the relationship between pulsations and chemical peculiarities, giving special emphasis to…

Astrophysics · Physics 2015-05-13 O. Kochukhov

Rotation is typically assumed to induce strictly symmetric rotational splitting into the rotational multiplets of pure p- and g-modes. However, for evolved stars exhibiting mixed modes, avoided crossings between different multiplet…

Solar and Stellar Astrophysics · Physics 2022-11-30 J. M. Joel Ong , Lisa Bugnet , Sarbani Basu

A new two dimensional non-perturbative code to compute accurate oscillation modes of rapidly rotating stars is presented. The 2D calculations fully take into account the centrifugal distorsion of the star while the non perturbative method…

Solar and Stellar Astrophysics · Physics 2013-01-14 R-M. Ouazzani , I. W. Roxburgh , M-A Dupret

Variations of frequency separations of low-degree p-modes are studied over the solar activity cycle. The separations studied are obtained from the frequencies of low-degree p-modes of the Global Oscillation Network Group (GONG). 10.7 cm…

Solar and Stellar Astrophysics · Physics 2015-05-14 Wuming Yang , Xiangcun Meng

Wave propagation and acoustic scattering problems require vast computational resources to be solved accurately at high frequencies. Asymptotic methods can make this cost potentially frequency independent by explicitly extracting the…

Numerical Analysis · Mathematics 2018-01-16 Daan Huybrechs , Peter Opsomer