3. Consider the following vector field on the plane: * = x-x}, | j = -9, , (x, y) c R?. (3.13) (a) Determine O-dimensional, 1-dimensional, and 2-dimensional in- variant sets. (b) Determine the attracting sets and their basins of attraction. (e) Describe the heteroclinic orbits and compute analytical expres- sions for the heteroclinic orbits. (d) 5Does the vector field have periodic orbits? (e) Sketch the phase portrait 3. Consider the following vector field on the plane: * = x-x}, | j = -9, , (x, y) c R?. (3.13) (a) Determine O-dimensional, 1-dimensional, and 2-dimensional in- variant sets. (b) Determine the attracting sets and their basins of attraction. (e) Describe the heteroclinic orbits and compute analytical expres- sions for the heteroclinic orbits. (d) 5Does the vector field have periodic orbits? (e) Sketch the phase portrait