Equilibrium point | Eigenvalue | Case | Sign of the eigenvalue | Nature of the point |
Case I | is zero and is negative | Stable | ||
Case II | Both and are negative | Stable | ||
Case III | is positive and is negative | Unstable | ||
Case I | is negative while is zero | Stable | ||
Case II | Both the eigenvalues and are negative | Stable | ||
Case III | is negative while is positive | Unstable |