Note on 5:7 phase-locking in the two-mode coupling of stellar pulsation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cepheid Variables, Coupled Modes, Phase Locked Systems, Stellar Oscillations, Astronomical Models, Coupling Coefficients

Scientific paper

The tendency for an increase of the coupling coefficients, which can
make the period-ratio be 5:7, is demonstrated in numerical experiments.
The smallness of the adiabatic coupling coefficients probably causes the
appearance of phase-locking with a high-period ratio; this has been
found to be 3:4, 7:9, or 4:5, in prior literature.

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