  Electron cloud effects have become one of the main performance limitations
for circular particle accelerators operating with positively-charged beams.
Among other machines worldwide, the CERN Super Proton Synchrotron (SPS), as
well as the Large Hadron Collider (LHC) are affected by these phenomena.
Intense efforts have been devoted in recent years to improve the understanding
of electron cloud (EC) generation with the aim of finding efficient mitigation
measures. In a different domain of accelerator physics, non-linear resonances
in the transverse phase space have been proposed as novel means of manipulating
charged particle beams. While the original goal was to perform multi-turn
extraction from the CERN Proton Synchrotron (PS), several other applications
have been proposed. In this paper, the study of EC generation in the presence
of charged particle beams with multimode horizontal distribution is presented.
Such a peculiar distribution can be generated by different approaches, one of
which consists in splitting the initial Gaussian beam distribution by crossing
a non-linear resonance. In this paper, the outcome of detailed numerical
simulations is presented and discussed.
