Modelling the Phase-Locked Pulsations of a P=14d EROS Star

The Fourier spectral analysis of this object suggests a nonlinear pulsation of period approximately 14d with a 3:2 frequency lock between two vibrational modes. We discuss an extensive search that we have performed in the L, M, Teff space for models of period 14 - 16 days that exhibit this particular resonance. We find models satisfying the resonance constraints both in the Cepheid and in the post AGB regimes. The nonlinear pulsations of several candidates are presented. The nature of the star remains a mystery as none of the models satisfies all the observational constraints.