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Near the sample edge, or a sharp magnetic field step the drift oftwo-dimensional electrons in a magnetic field has the form of skipping/snakeorbits. We show that families of skipping/snake orbits of electrons injected atone point inside a 2D metal generically exhibit caustics folds, cusps and cusptriplets, and, in one extreme case, a section of the batterfly bifurcation.Periodic appearance of singularities along the $\pm B$-interface leads to themagneto-oscillations of nonlocal conductance in multi-terminal electronicdevices.

Skipping and snake orbits of electrons: singularities and catastrophes