Automatic determination of dynamical symmetries of ordinary differential equations
The paper deals with the application of the program package CRACKSTAR to the problem of finding infinitesimal symmetries of ordinary differential equations thus reducing their order. The package is designed to solve overdetermined systems of partial differential equations (the so called symmetry equations) and allows to investigate not only point symmetries but contact and dynamical ones as well. Three examples are given illustrating the implementation of the package.
scientific article; zbMATH DE number 4096729