A bucking horse is any breed of horse, male or female, with a propensity to buck. They have been, and still are, referred to by various names, including bronco, broncho, and roughstock.
Cowboy riding a saddlebronc
Bareback bronc at a rodeo
Camp Cook's Troubles, a depiction of a western bronc or bronco, by C. M. Russell
Sorting bucking horses (roughstock)
Bucking is a movement performed by an animal in which it lowers its head and raises its hindquarters into the air while kicking out with the hind legs. It is most commonly seen in herbivores such as equines, cattle, deer, goats, and sheep. Most research on this behavior has been directed towards horses and cattle.
A rodeo horse, bucking.
A loose horse may buck due to aggression or fear, as the very high kick of this horse suggests
Bucking is a normal behavior for a horse with an overabundance of energy, and in a loose horse, may simply be playful behavior, as here
Horse bucking as an act of disobedience or discomfort