Figure 1:  Presents the temporal dynamics of y(t) of hyperbolic Plykin - Newhouse attractor on a spherical surface if  ε = 0.72

Figure 2: To the left are temporal dynamics of y(t) and the Fourier spectrum on the right presents the temporal dynamics of y(t) and wavelet transform hyperbolic Plykin - Newhouse attractor on a spherical surface if ε = 0.72

Figure 3:  Presents the dynamics and evolution of the behavior of the Plykin - Newhouse attractor under the action of a method of Pyragas shown when ε = 0.72, τ = 2.5.10-5, μ = 0.25, 0.5, 0.75, 1.0, 1.25, 1.5

Figure 4:  On the left a phase portrait of the Plykin - Newhouse system and corresponding spectral density,
 And on the right the dynamic variable is represented on the scale of time are shown when ε = 0.72, k = 1.9

Figure 5: The Plykin - Newhouse system corresponding to the spectral density is shown when τ = 1.8, K = 1.8, ε = 0.72, k = 1.9

Figure 6: Timeline y(t) and phase portraits y(x) of the attractor Plykin - Newhouse

Figure 7: Phase portraits of y(x) of the Plykin - Newhouse attractor when K = 0.1 → 1.0, τ = 1.9, ε = 0.72, k = 1.9

Figure 8: Phase portraits of Y(X) of the Plykin - Newhouse attractor when K = 0.0 → 0.4, τ = 1.9, ε = 0.72, k = 1.9   

Figure 9: Phase portraits of y(x) of the Plykin - Newhouse attractor when K = 0.0 → 0.4, τ = 1.9, ε = 0.72, k = 1.9