2001A&A...368..880P

Stability of both the fundamental and first overtone oscillations of AE UMa was investigated by different methods which led to concordant results. The fundamental period of AE UMa has been essentially constant in the past 60 years consistent with the theoretical expectation (Breger & Pamyatnykh, 1998A&A...332..958B). The reported fast period decrease (Hintz et al., 1997PASP..109.1073H) is shown to be incorrect. The constancy of the fundamental period suggests that the star is in the post-main sequence evolutionary state as suggested by the evolutionary theories. The first overtone period is decreasing with a rate of (1/P₁)x(dP₁/dt)=-7.3x10^–8yr^–1. The fact that the rate of period change for two modes is quite different indicates that non-evolutionary effects may also generate period changes. The changes in amplitude of the fundamental and first overtone were examined by comparing the least-squares amplitude solution for different segments of observations. Small long-term variations in the amplitudes have occurred in the past 25 years.