What is the algebraic equation of the following flow?

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I want to plot the following flow in math softwares but I don't know its algebraic equation! Any hint would be greatly appreciated. (image from Milnor's Topology from differential viewpoint)

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Edited: A function with two asymptotic line (at least, a function with one slanted and one horizontal asymptotic line), and similar to above image, suffices. e.g. A function with four connected components and slant asymptotic $y=-x$ and horizontal asymptotic $y=0$.