All plants have dormancy in some form except for annuals since they live for one season. It might be difficult to tell what plants must undergo this process and what can live in an unchangeable indoor environment almost without apparent dormancy.
The most obvious dormant examples are deciduous trees and shrubs that shed their leaves. Growing in cold winter climates forces them to stop their growth to survive.
But do evergreen trees hibernate? It’s not that easy concerning evergreens and conifers. But they do, either regularly or occasionally. For instance, pines hibernate in cold climates where frost is always present in wintertime, while tropical or succulent plants may have dormancy only during a dry spell.
Succulents tend to have dormancy in scorching or cold conditions, but it’s not so vital. For example, you can keep your jades and echeverias under grow lights at a constant temperature with pretty much success. They just won’t bloom because their inner clock is fooled, and they don’t know when to grow flowers. Nonetheless, lithops need some sleep to develop a bud which is going to be a new leaf. If you keep them always warm and watered, you might lose your plants.
Another example of inevitable dormancy is bulbous plants like hyacinth, lily of the valley, tulip, and crocus. Some of them have summer dormancy to overcome drought, while others are dormant from fall to winter, depending on the climate and species.
On the other hand, caladium loses all the leaves in winter in dry and dark conditions. If you don’t know much about this species, you might think it’s dead. With bright sunlight and humid air, it can grow in a complete and harmless absence of dormancy.