Web geometry of a system of n first order autonomous ordinary differential equations

Abstract

Let $d{x}_i/dt=f_i(x_1,\cdots ,x_n)$, ($i=1,\cdots ,n$) be a system of $n$ first order autonomous ordinary differential equations. We use E. Cartan's equivalence method to study the invariants of this system under diffeomorphisms of the form $\Phi (t,x_1,\cdots ,x_n)=({\phi }_0(t),{\phi }_1(x_1),\cdots ,{\phi }_1(x_1))$.

arXiv comment5 pages