Equilibrium point | det(J) | tr(J) | Results |
| det(J) > 0 | tr(J) < 0 | Stable |
| det(J) > 0 | tr(J) > 0 | Unstable |
| det(J) > 0 | tr(J) < 0 | Stable |
| det(J) > 0 | tr(J) > 0 | Unstable |
| det(J) > 0 | tr(J) = 0 | Saddle point |