phase portrait


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phase portrait

[′fāz ‚pȯr·trət]
(control systems)
A graph showing the time derivative of a system's position (or some other quantity characterizing the system) as a function of position for various values of initial conditions.
References in periodicals archive ?
5, the phase portrait, time course diagram and the Poincare map of the controlled system are shown in Fig.
For this purpose, the phase portrait shown in Figure 1 is projected onto the distribution diagram of the "generalized equilibrium" of the nonautonomous system demonstrated in Figure 3 (shown in Figure 5).
One possible way is to fuse multiple algorithm output like, we found in recent literature [7] that attempt to fuse fractal dimension algorithm with gabor feature, phase portrait model.
When the fibre is changed, the vector field Y changes too and so does the phase portrait, i.
Bifurcation theory studies these qualitative changes in the phase portrait [8], [9].
The entire pattern of phase paths is called the phase plane or phase portrait (Jordan & Smith, 2007, p.
The set of all images of maximal electric lines is called the phase portrait of the electric field E.
Limit cycle and phase plane principles is investigated to analyze the stability of the system by plotting the phase portrait trajectories of the variables with their velocities.
Figures 7 and 8 illustrate graphically the phase portrait in each case.
For example, if the drone used to generate Two Lines had been perfectly stable, the phase portrait would have settled to a point on a diagonal line descending down from the origin in the upper left corner of these plots.
As we vary parameters, the phase portrait changes qualitatively only at bifurcations.
From the figure, the phase portrait related to the power system approaching to the origin is just like a spiral.