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5 Analysis of Simple Nonlinear Dynamical Systems
Table 5.14 Lyapunov exponents spectrum and LLEs computed by different methods (Lorenz
attractor)
Spectrum of LEs
Benettin method
Neural network
LEs: 0.90557 0.00000–14.57214
LEs: 0.9490 0.0610–13.9101
DKY: 2.06214
DKY: 2.07261
EKS: 0.90557
EKS: 1.0101
PVC: –13.66656
PVC: –12.9000
LLEs
Wolf method
Rosenstein method
Kantz method
LLE: 0.81704
LLE: 0.836
LLE: 0.807185
Table 5.15 Fourier power spectra and Gauss wavelet spectra obtained for =
0.005, 0.01, 0.015, 0.02 and the computed LLEs by different methods (Lorenz attractor)