The hindbrain

The cerebellum:

The cerebellum lies dorsally behind the optic lobes and its surface is thrown into many folds. It's a lot smaller than the cerebrum at only one eighth of its size but it's a very important part of the brain. The cerebellum plays an important part in controlling muscular co-ordination, and especially in maintaining body balance. Because of your cerebellum, you can stand upright, keep your balance, and move around.



The medulla oblongata:


The nedulla oblongata sits beneath the cerebrum and in front of the cerebellum. Its posterior or lower ends narrows gradually into the spinal cord. The medulla oblongata controls involuntary actions such as the heart beat, peristalsis, the rate of respiratory movements and the contraction and dilation of blood vessels.



The pons:          

Pons are a part of the hindbrain. It is located above medulla oblongata. It is involved in motor control and sensory analysis such as, information from the ear first enters the brain in the pons. It has parts that are important for the level of consciousness and for sleep. Some structures within the pons are linked to the cerebellum, thus are involved in movement and postur.

The pons contains nuclei that relay signals from the forebrain to the cerebellum, along with nuclei that deal primarily with sleep, respiration, swallowing, bladder control, hearing, equilibrium, taste, eye movement, facial expressions, facial sensation, and posture.
Within the pons is the pneumotaxic center, a nucleus in the pons that regulates the change from inspiration to expiration.
The pons also contains the sleep paralysis center of the brain as well as generating the dreams of REM sleep (Rapid Eye Movement :normal stage of sleep characterized by the rapid movement of the eyes.)