Rear steering cylinder dampening

A hydraulic system for controlling a pair of steerable caster wheels of an agricultural machine, the hydraulic system comprising:

• a left side actuator for controlling a left rear caster wheel, the left side actuator having a piston moveable in a first direction and an opposing second direction, and including an inboard fluid port for supplying fluid to a first side of the piston to move the piston in the first direction, and an outboard fluid port for supplying fluid to a second side of the piston to move the piston in the second direction;
• a right side actuator for controlling a right rear caster wheel, the right side actuator having a piston moveable in a first direction and an opposing second direction, and including an inboard fluid port for supplying fluid to a first side of the piston to move the piston in the first direction, and an outboard fluid port for supplying fluid to a second side of the piston to move the piston in the second direction;
• a left steering command valve, a right steering command valve, and a rear steering control valve;
• a left side steering fluid circuit interconnecting the left steering command valve and the inboard fluid port of the left side actuator in fluid communication;
• a left side line in fluid communication with the outboard fluid port of the left side actuator;
• a right side steering fluid circuit interconnecting the right steering command valve and the inboard fluid port of the right side actuator in fluid communication;
• a right side line in fluid communication with the outboard fluid port of the right side actuator;
• a fluidic tie rod fluid circuit connecting fluid communication between both the left side line and the right side line with the rear steering control valve;
• a tank return fluid circuit interconnecting the rear steering control valve, the left steering command valve, the right steering command valve, and the tank in fluid communication;
• a first fluid pressure equalizer fluidically coupled to the left side actuator and operable to equalize fluid pressure over a period of time between the first side and the second side of the piston of the left side actuator;
• and
• a second fluid pressure equalizer fluidically coupled to the right side actuator and operable to equalize fluid pressure over a period of time between the first side and the second side of the piston of the right side actuator.