Definition: In mathematics and physics, a semiclinical system is a physical system that exhibits both a periodic and an oscillatory behavior. This means that the system's motion can be described as both periodic (i.e., the time period is constant) and non-oscillatory (i.e., it does not exhibit any sudden changes in amplitude or frequency). In other words, it has a cyclical pattern that repeats itself periodically. Semiclinical systems are often used to model complex phenomena such