Chin crossed bridles.
With the chin-crossed bitless system, leather straps run from the noseband trough rings under the chin. The leather straps are provided with rein rings at the end. Reins with clip and with buckle closure can be attached to the rein rings.
The difference with Dr. Cook's bridles is that the cross straps do not run over the cheeks of the horse and add pressure behind the ears.
The moment you put pressure trough the reins, the pressure provided on the lower jaw, just behind the chin and slight pressure on the nose of the horse. By asking at the right rein, pressure comes on the left side of the horse's head.
When pressure is placed on both sides, the noseband closes, and the most pressure comes on the nose of the horse.
As soon as the pressure on the reins is reduced, the noseband opens, and the pressure is reduced; this gives the bridle a good release.
The bridle is stable around the head and has little or no tendency to turn or slide.
Cheek crossed (Dr. Cook)
The cheek-crossed system is based on Dr. Cook-bitless bridle, which is relatively well-known. The cheek-crossed system is widely used because many horses accept it.
The reins run crosswise from the headpiece along the jaw through a ring on the noseband. The cross straps are generally made of reinforced nylon, round leather, and flat leather. The cross cords are provided with rein rings at the end to which a rein with a clip or rein with buckle can be attached.
Due to the cross straps, the pressure is exerted on the outside of the head via the inside rein so that the horse's natural response will be to move away from the pressure. With a single-sided rein pressure, the pressure is exerted on the opposite side of the head. Through the cross strap, there is pressure on the nose, lower jaw just before the jaw and behind the ears of the horse's head.
Pressing both reins puts pressure on the lower jaw, both sides of the horse's head and behind the ears.
The bridle is stable around the horse's head and has little to no inclination to slip and rotate.