| Equilibrium point | Eigenvalue | Case | Sign of the eigenvalue | Nature of the point |
|
|
| - | Eigenvalues | Unstable |
|
|
| Case I |
| Stable |
| Case II | Both the eigenvalues | Stable | ||
| Case III |
| Unstable |
and 
are real but opposite in sign
is negative while 
is zero.
and 
are negative
is negative while 
is positive