A stable modes of power systems based on chaos control

Modern chaos theory is a branch of mathematics applications in several disciplines including technical systems like a Power System. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions. In chaos theory, control of chaos is based on the fact that any chaotic attractor an infinite number of unstable periodic orbits. Chaotic dynamics then consists of a motion where the system state moves in the neighborhood of one of these orbits for a while, then falls close to a different unstable periodic orbit where it remains for a limited time, and so forth. Authors this review describes some modern results of chaos control theory.