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5 Analysis of Simple Nonlinear Dynamical Systems
Table 5.11 Lyapunov exponents spectrum and LLEs computed by different methods (Rössler
attractor)
Spectrum of LEs
Benettin method
Neural network
LEs: 0.07135
0.00000–5.39420
LEs: 0.07593 -0.00060–0.78178
DKY: 2.01323
DKY: 2.09635
EKS: 0.07135
EKS: 0.07593
PVC: –5.32285
PVC: –0.70646
LLEs
Wolf method
Rosenstein method
Kantz method
LLE: 0.05855
LLE: 0.0726
LLE: 0.0208
Table 5.12 Fourier power spectra and Gauss wavelet spectra obtained for = 0.05, 0.1, 0.15, 0.2
and the computed LLEs by different methods (Rössler attractor)