What name is given to a large network of neurons within the brainstem that is essential for maintaining wakefulness

These are the Reticular Activating system

Explanation:

These are network of neurons that occupy lager areas of the  brainstem. They are located between the brain stem and the cortex.These neurons projected anteriorly into the hypothalamus, posteriorly into the thalamus to form the ascending RAS and emerged directly into the cortex.

Generally,the RAS is made up of 4 components.These are each made up of group of nuclei .The latter are   simultaneously activated by the lateral  hypothalamus,which cause the release of  neurotransmitters that  cause the modulatory effects produced by the  entire RAS

Their major function is the control of sleepiness and wakefulness in individuals.It does this with the interactions with a lot of neurotransmitters present in the brain.

Besides the above functions the RAS is also responsible for the control of focus, stability of muscles tone.