The cooperative motion algorithm is applied to simulate single macromolecules with complex topologies. Macromolecules of various topologies are represented by lattice structures corresponding to backbone skeletons of polymers. The structural and dynamic properties of chains of concatenated rings are analyzed as a function of two parameters: the ring size and the number of rings. Properties of the catenanes are compared with the behavior of simple linear and cyclic chains simulated under the same conditions.