Theory and Modern Applications
Table 2 Stability condition with different values of α
From: Stability and dynamics of a stochastic discrete fractional-order chaotic system with short memory
fractional order α | 0.2 | 0.3 | 0.4 | 0.5 |
0.6 | 0.7 | 0.8 | 0.9 | |
stability condition | \({\sigma ^{2}} < \frac{1}{{1.0564}}\) | \({\sigma ^{2}} < \frac{1}{{1.1391}}\) | \({\sigma ^{2}} < \frac{1}{{1.2788}}\) | \({\sigma ^{2}} < \frac{1}{{1.5084}}\) |
\({\sigma ^{2}} < \frac{1}{{1.8960}}\) | \({\sigma ^{2}} < \frac{1}{{2.6041}}\) | \({\sigma ^{2}} < \frac{1}{{4.1272}}\) | \({\sigma ^{2}} < \frac{1}{{8.9574}}\) |