New uvby data collected of AN Lyn together with the reanalysis of old
data establish that this star is a multiperiodic pulsator. Three indep
endent frequencies (v(1) = 10.1756, v(2) = 18.1309 and v(3) = 9.5598 c
d(-1)) and some interactions be tween them are found to be present in
the light curve. Changes in amplitude with a large time scale are conf
irmed for the main frequency. Moreover, changes in amplitude are also
present for the secondary frequencies, especially for v(3). After subt
raction of the secondary frequencies from the light curves, the classi
cal O-C method has been used to analyse the behaviour of the main peri
od. A comparison is made between AN Lyn and the other two known delta
Set stars with atypical light curves? i.e., V1719 Cyg and V798 Cyg. Ne
w uvby data have been also collected for V1719 Cyg and the O-C method
has been used to analyse the behaviour of the main period. It is found
that the main pulsation of this star can be well described by means o
f a linear ephemeris with a period of P = 0.(d)26729700 over the last
eighteen years. Finally, analysis of the different data sets available
in the literature do not reveal significative changes in the amplitud
e of the main frequency of V1719 Cyg.