Using Symbolic Computational Dynamics as an aid to design

Symbolic Computational Dynamics is motivated by the utility of approximate analytical solutions for reduced order models. Application is limited by the algebra needed for problems of more than a few coupled coordinates, making them excellent candidates for automation through symbolic computation. But there is a lot of useful information that is naturally lost when doing this, due to the on-going processes of algebraic simplification, the different mathematical-physical processes behind the small parameter, and defining relative strengths of physically based terms. We offer an entirely novel symbolic computational process that applies a semi-automated asymptotic method that retains all information in an easy-to-interpret visualisation.