Fast movement hydraulic systems use differential circuits to enable both fast and slow piston movement. They contain divider valves that can be positioned to direct hydraulic fluid flow in different configurations, allowing fast or slow movement in either direction. Common applications include excavator arm control, airplane flap control, vehicle brakes, and mechanisms in agricultural and construction equipment where both rapid and precise positioning is required. While effective for variable-speed actuation, fast hydraulic systems can experience some energy losses and issues with fluid leakage.