A dynamic stabilization system for stabilizing a vertebral segment of a spine. The system includes a first vertebral anchor, a second vertebral anchor and a cord. The system may also include a spacer positioned between the first and second vertebral anchor through which the cord extends. The first vertebral anchor is configured to be secured to a first vertebra and the second vertebral anchor is configured to be secured to a second vertebra. The cord is extendable from the first vertebral anchor to the second vertebral anchor. The cord has a variable stiffness through a range of displacement, wherein the stiffness of the cord increases as an applied tensile force on the cord is increased.