Figure 4.

Projection of the orbits of a the transformed system onto the y₁ − y₂ for different initial conditions. In this projection, the manifold appears as a point aligned with the equilibrium point. Changing the values of y₃ within an order of magnitude resulted in no appreciable change in this projection, since the third variable is de facto uncoupled. Red dots mark starting points of different orbits and the black dot is the equilibrium point they all tend to.