\displaystyle {dx(s)\over ds} = f(x(s)),\,\, x(0)=x_0, .
\delta_\bullet^i= f^i, \,\,\, \delta^i_{[t_1,\dots,t_n]} = \sum_{j_1,\dots,j_n=1}^N (\delta^{j_1}_{t_1} \cdots \delta^{j_n}_{t_n})\partial_{j_1} \cdots \partial_{j_n} f^i.