An overdamped system is a type of dynamic system that returns to equilibrium without oscillating. This occurs when the damping force is strong enough to prevent any overshoot, leading to a slow and gradual approach to the rest position. Common examples include a heavy door with a hydraulic closer or a car's suspension system designed to minimize bounce. In mathematical terms, an overdamped system is characterized by a damping ratio greater than one. This means that the system's response to disturbances is sluggish, taking longer to settle compared to critically damped or underdamped systems. Understanding overdamped behavior is essential in fields like mechanical engineering and control systems.