Theory and Modern Applications
Table 1 Lyapunov exponents of the Rabinovich system for \(t \in [0,300]\), integration step of \(h =0.01\), normalization step of h-norm=0.005
Mu (fractional derivative order) | LE1 | LE2 | LE3 | Remark |
|---|---|---|---|---|
0.90 | 0.4259 | 0.0058 | −10.4098 | Chaos |
0.91 | 0.0055 | −0.0903 | −9.3963 | Chaos |
0.92 | −0.0003 | −0.1707 | −8.8394 | Stable fixed point |
0.93 | 0.0305 | −1.2642 | −7.3293 | Chaos |
0.94 | −0.0012 | −0.3615 | −7.7753 | Stable fixed point |
0.95 | 0.0030 | −0.0224 | −7.7143 | Chaos |
0.96 | 0.0294 | −0.1121 | −7.2666 | Chaos |
0.97 | 0.0013 | −0.2441 | −6.7415 | Chaos |
0.98 | 0.0032 | −0.3599 | −6.2808 | Chaos |
0.99 | 0.0022 | −0.4941 | −5.8159 | Chaos |
1.00 | 0.0220 | −0.6391 | −5.3775 | Chaos |