Caption: FIGURE 5: Period 4T for q = 0.9895: (a)

phase portrait for DRM-SRM; (b) time history diagram for DRM-SRM; (c)

phase portrait for EMRMCS; (d) time history diagram for EMR-MCS.

Figure 6(a) is the

phase portrait in (x, y, z) space and u = 0.

To specify the differences in dynamics of dsk [M.sub.n] parameter a

phase portrait for each sportsman was drawn.

The bifurcation diagram,

phase portrait, and power spectrum are conducted to demonstrate that periodic motions and chaotic motions occur in nonlinear vibrations of the rotating blade under certain conditions.

The

phase portrait of system (39) is shown in Figure 1.

Caption: Figure 4: 2D

phase portrait of system (1a), (1b), and (1c) for a = 3.3 and b = 3.

Figure 7 shows the

phase portrait of susceptible hosts S(f) and infectious hosts 7(f) of system (2) when [tau] = 30 < [[tau].sub.0].

In this region, each response was characterized using a

phase portrait, a Poincare map (velocity versus phase angle), and a frequency spectrum.

If c [less than or equal to] -2,0 is an unstable node, and the global

phase portrait is shown in Figure 1(a); if -2 < c < 0, O is an unstable focus, and the global

phase portrait is shown in Figure 1(b).

Taken g = 0.5, the

phase portrait, time course diagram and the Poincare map of the controlled system are shown in Fig.

It can be seen from the analysis and simulations above that the improved Lorenz-like chaotic circuit can only output three chaotic waveforms and three chaotic

phase portraits. What is more, it can only output inverted

phase portrait shape like butterfly wings.

Caption: Figure 5:

Phase portrait of system (6) calculated using nonstandard (NSGL) and standard (GL) schemes.