We compute up-down asymmetries for atmospheric neutrino induced electron and
muon events in the SuperKamiokande detector for the following neutrino
oscillation models: (A) maximally mixed νμ−ντ or $\nu_{\mu}
- \nu_s,(B)maximallymixed\nu_{\mu} - \nu_e$, © threefold maximal mixing
between νe,νμ and ντ, and (D) neutrino oscillations via
Equivalence Principle or Lorentz invariance violation. We emphasise the role of
different momentum cuts.