Research Article

On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra

Figure 1

Visualization of the trajectories of (5.26). In this case we have plotted level bands of , so that the trajectories are in fact the boundaries between the colored bands. We have also plotted, in white, the trajectory that passes through a singular point corresponding to a pole of the (complex) analytic function . To exemplify the parametrization, we have plotted in black the points corresponding to (see Table 1).
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