Spectral characteristics of the coherent dynamics of the order parameter in superconducting nanorods

•Within the density-matrix formalism based on the Bogoliubov-de Gennes equations approach we investigate the dynamics of the nonequilibrium BCS pairing induced by a sudden change of the coupling constant in quasi-1D and quasi-0D samples.•We demonstrate that two different dynamical regimes of the amplitude of the BCS gap can be distinguished: an initially damped oscillation in the case of short quantum wires and purely irregular dynamics in the case of nanorods.•We explain this transition on the basis of linearized equations of motion and linke it to the properties of the single-particle energies in the corresponding regimes.