Theory and Modern Applications
Parameter region |
|
| Global dynamics |
---|---|---|---|
| G.A.S. Basin of attraction:
| – | Every soln. converges to . |
| Repeller | – | Every soln. except (0,0) tends to (0,∞). |
| Repeller | – | Every soln. except (0,0) tends to (∞,0). |
| Repeller | Saddle Stable manifold: An increasing curve | Every soln. not on except (0,0) tends to (0,∞) or (∞,0). |
, or
| There exist infinitely many equilibria along the x- or y-axis. |