4. Vector Fields and Nilpotent Lie Algebras
4. Vector Fields and Nilpotent Lie Algebras
1 IntroductionThis paper is concerned with the efficient symbolic computation of flows of ordinary differential equations of the formx˙(t)=F(x(t)),x(0)∈RN.In other words, we want to write the corresponding trajectory t → x(t) in closed form. Of course, since this cannot be done for most differential equations, it is important to find …