A damping element (1) comprising (a) two spring elements (2, 4) which are coaxial with or parallel to a longitudinal axis (3) and two axially end-wise connectors (5, 6) which can be linked to the spring elements (2, 4), where (b) the first spring element (2) exhibits a spring rate F, (c) the second spring element (4) exhibits a spring rate f, and (d) the spring rates F and f are different. A system stabilizing adjacent vertebras includes: (a) N pedicle screws or pedicle hooks (12), with N≧3, and (b) at least one pedicle screw or one pedicle hook having a receiving device (13) which simultaneously allow receiving two parallel affixation devices (7), and where (c) an element (14) acting as a spring is used for affixation between the minimum of one pedicle screw or pedicle hook (12) including a receiving device (13) and a further adjacent pedicle screw or pedicle hook (12).