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2D BASIN
Homemade name. 
Cartesian parametrization: . 
The 2D basins are the curves with the above parametrization.
The 2D basins are the projections on the planes containing Oz of the 3D basins , traced on a paraboloid of revolution, hence their basinlike shape.

The formula shows that they are entirely traced on the parabola and the line y = b.
Some examples:




Any basin is associated to the Lissajous curve: ; opposite, the basin and its associated Lissajous curve for . 
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© Robert FERRÉOL 2017