Chaotic systems are dynamic systems that exhibit highly sensitive dependence on initial conditions, meaning that small changes in the starting point can lead to vastly different outcomes. This unpredictability is a hallmark of chaos, which occurs in non-linear systems where regular patterns break down, often leading to behavior that appears random even though it is deterministic. Understanding chaotic systems is essential for classifying dynamical systems since they represent a distinct and complex category within the broader spectrum of behavior found in such systems.
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