Theory and Modern Applications
Table 1 Effect of feedback control gain on the Hopf bifurcation critical value
From: Hopf bifurcation controlling for a fractional order delayed paddy ecosystem in the fallow season
Feedback gain k | Critical frequency \(\xi_{a}\) | Bifurcation point \(\tau_{k,0.98}\) |
|---|---|---|
−0.14 | 0.3172 | 17.6105 |
−0.10 | 0.3648 | 14.1874 |
−0.06 | 0.3934 | 12.2202 |
−0.02 | 0.4168 | 10.5699 |
0 | 0.4274 | 9.8065 |
0.02 | 0.4375 | 9.0766 |
0.05 | 0.4518 | 8.0475 |
0.10 | 0.4740 | 6.5397 |
0.15 | 0.4947 | 5.3276 |