Table 2.
Stability conditions for the equilibrium (x0, y0). P > 0 corresponds to the equilibrium being unstable and P < 0 - stable.
| aλ > 1 | aλ ≪ 1 | |
|---|---|---|
| λ > 1 | P ≪ 0 | P ≫ 0 for β ≪ β0, P ≪ 0 for β ≫ β0 |
| λ < 1 | P ≪ 0 for β ≪ β0, P ≫ 0 for β ≫ β0 | P ≫ 0 |
Stability conditions for the equilibrium (x0, y0). P > 0 corresponds to the equilibrium being unstable and P < 0 - stable.
| aλ > 1 | aλ ≪ 1 | |
|---|---|---|
| λ > 1 | P ≪ 0 | P ≫ 0 for β ≪ β0, P ≪ 0 for β ≫ β0 |
| λ < 1 | P ≪ 0 for β ≪ β0, P ≫ 0 for β ≫ β0 | P ≫ 0 |