Chaotic systems are complex systems that exhibit sensitive dependence on initial conditions, meaning small changes in the starting state can lead to vastly different outcomes. This unpredictability is a hallmark of chaos theory, which studies how these systems behave over time. Examples of chaotic systems include weather patterns, the stock market, and certain ecosystems. In chaotic systems, patterns may emerge, but they are often difficult to predict. Despite their apparent randomness, these systems can still follow underlying rules or equations, such as those found in nonlinear dynamics. Understanding chaotic systems helps scientists and researchers in fields like meteorology and economics to better grasp complex phenomena.