Chaotic systems are systems that exhibit complex and unpredictable behavior even though they are deterministic and follow defined rules. These systems are highly sensitive to initial conditions, meaning small changes in the starting parameters can lead to vastly different outcomes. Chaos theory, which studies chaotic systems, has applications in various fields such as physics, biology, economics, and meteorology. Researchers in this area explore the dynamics and properties of these systems, as well as how to predict and control their behavior. Examples of chaotic systems include weather patterns, fluid dynamics, and the movement of celestial bodies.