Given a smooth vector field \(X\) on a smooth manifold \(M\). A curve \(\gamma\colon I\to M\) is a trajectory with respect to \(X\), if for every \(p\in \gamma(I)\)
\[ \gamma'(p)=X_p\in T_pM. \]Given a smooth vector field \(X\) on a smooth manifold \(M\). A curve \(\gamma\colon I\to M\) is a trajectory with respect to \(X\), if for every \(p\in \gamma(I)\)
\[ \gamma'(p)=X_p\in T_pM. \]