We consider polynomial differential systems with coefficients in a field K of characteristic zero and the action of a given group G of linear transformations on these systems. The fundamental idea is… (More)

We develop an algorithmic method based on Gröbner bases in qualitative study of polynomial differential systems with coefficients in a field of characteristic zero. We will give examples in the case… (More)

Using Einstein’s notation [4]), the polynomial differential systems of finite dimension n and of degree at most k with coefficients in a field k of characteristic zero can be written as dx dt = a +… (More)