The Cepheid bump progression and amplitude equations

Statistics – Computation

Scientific paper

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Cepheid Variables, Nonlinear Equations, Stellar Oscillations, Computational Astrophysics, Differential Equations, Fourier Analysis, Light Curve, Radial Velocity

Scientific paper

It is shown that the characteristic and systematic behavior of the low-order Fourier amplitudes and phases of hydrodynamically generated radial velocity and light curves of Cepheid model sequences is very well captured not only qualitatively but also quantitatively by the amplitude equation formalism. The 2:1 resonance between the fundamental and the second overtone plays an essential role in the behavior of the models

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