Dynamic modeling of sound is a new approach to model and synthesize natural sound signals and is based on a recent method of modeling dynamical systems with neural networks. The following investigation addresses the problem of controlling the characteristics of the sound signals that are obtained from a dynamical sound model. Here, we propose an algorithm for morphing between the dynamics of different sounds. The dynamics of one dimensional attractors can be used to model a large number of sound signals. In the following we will give an example of a dynamical model of a piano sound that is based on one dimensional attractors. After having motivated the restriction to one dimensional attractor topologies, we theoretically investigate into a number of properties of the proposed morphing scheme and experimentally verify our conclusions. The topics that will be discussed in the light of the special application are the selection of reconstruction parameters, necessary constraints on the network parameters and signal characteristics that can prevent a successful application of the morphing method.