dual fluorescence 

of systems or molecular species
https://doi.org/10.1351/goldbook.DT07365
Systems or molecular species showing two fluorescence bands. Several non-trivial molecular properties may be at the basis of a dual fluorescence, such as conformational equilibrium in the ground state and a mixture of excited states.
Note:
Trivial reason for dual fluorescence is the coexistence of two independent fluorophores.
Source:
PAC, 2007, 79, 293. (Glossary of terms used in photochemistry, 3rd edition (IUPAC Recommendations 2006)) on page 327 [Terms] [Paper]