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Using the Poincaré portrait corresponding to non-autonomous systems, dynamic behavior of the mechanism is shown in discrete space, which is the criterion for the detection of chaos.
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Figure 2 The phase portraits corresponding to Figures 1 (a) and (b).
The phase portraits corresponding to Figure 2(a) are shown in Figures 2(d - f) for showing eleven- and - f-coexisting chaotic attractors at (d = 3.58) and 3.72 and a chaotic attractor at (d=3.8).
If we assume that g, as a function of x, is piecewise constant we can glue phase portraits corresponding to the second order traveling wave ODE:.
(a) The deterministic model; (b) the Brownian motion model with (sigma_{12}=sigma_{21}=sigma=0.5); (c) phase portrait: the red ∘ is corresponding to the deterministic model, while the blue ∘ represents the stochastic model.
The phase portraits for various α-values corresponding to Figure 4 are plotted in Figure 5(a)–(i) to illustrate these observations.
The above results can be seen from the phase portraits in Figure 5(A -(L) corresponding to Figure 4. Figure 5 The phase portraits of model ( 2 ) for different values of h corresponding to Figure 4.
Figure 5 Phase portraits for various values of d corresponding to Figure 4 (a).
Figure 7 Phase portraits for various values of a corresponding to Figure 6 (a).
Figure 4 Phase portraits for various values of δ corresponding to Figure 1 (a).
Figure 5 Phase portraits for different values of δ corresponding to Fig. 4.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com