Pulsation Modes of Long-Period Variables in the Period-Luminosity Plane

We present a phenomenological analysis of long-period variables (LPVs) in the Large Magellanic Cloud with the aim of detecting pulsation modes associated to different period-luminosity (PL) relations. Among brighter LPVs we discover a group of triple-mode semiregular variables with the fundamental, first overtone and second overtone modes simultaneously excited, which fall on PL sequences C, C' and B, respectively. The mode identification in the fainter red giants is more complicated. We demonstrate that the fundamental-mode pulsators partly overlap with the first-overtone modes. We show a possible range of fundamental mode and first overtone periods in the PL diagram.