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Several classes of pulsating stars are now known to undergo slow changes inamplitude; these include pulsating red giants and supergiants, and yellowsupergiants. We have used visual observations from the AAVSO InternationalDatabase, and wavelet analysis of 39 red giants, 7 red supergiants, and 3yellow supergiants, to test the hypothesis that an increase in amplitude wouldresult in an increase in period, because of non-linear effects in thepulsation. For most of the stars, the results are complex and/or indeterminate,due to the limitations of the data, the small amplitude or amplitude variation,or other processes such as random cycle-to-cycle period fluctuations. For thedozen stars which have substantial amplitude variation, and reasonably simplebehavior, there is a 75-80% tendency to show a positive correlation betweenamplitude and period.

Does the Period of a Pulsating Star Depend on its Amplitude?