The process of exposure of plants to low temperature for floral induction is

The process of exposure of plants to low temperatures for floral induction is Vernalization.
Vernalization is the induction of a plant's flowering process by exposure to the prolonged cold of winter, or by an artificial equivalent. Plants have acquired the ability to flower, but they may require additional seasonal cues or weeks of growth before they will flower.
Typical vernalization temperatures are between 1 and 7 degrees Celsius.