Further results on nondimensional forms for singularly perturbed structures

In most of the aerospace applications, based on the knowledge of the speed of the state variables and previous experience in working with particular problems, a singularly perturbed structure is assumed by artificial insertion of a small unit-valued parameter with highest derivative or some of the state variables of the dynamical equations. However, attempts have been made to identify the singular perturbation structure in terms of the parameters of the dynamical system leading to a natural occurrence of the small parameter. In this paper, some more results are explored in identifying the singular perturbation parameter by using nondimensional forms for the dynamical equations. In particular, different structures of identifying the singular perturbation parameter are presented and the various features of these structures are discussed.