ABSTRACT
This chapter is devoted to presenting some relevant results about transforming some dynamical systems to jerky and hyperjerk forms. We begin in Sec. 9.2, by describing the transformation of 3-D dynamical systems to jerk form. Sec. 9.3 deals with the transformation of 3-D dynamical systems to rational and cubic jerks forms in cases where the inverse transformation has some singularities. In Sec. 9.4, we present in detail the method used to transform 4-D dynamical systems to hyperjerk form and the expression of the transformation is given in Sec. 9.4.1. Some examples of 4-D hyperjerky dynamics are presented in Sec. 9.4.2. Sec. 9.5 covers some numerical examples of crackle and top dynamics.
