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The Electron Cloud, an undesirable physical phenomena in the accelerators,develops quickly as photons striking the vacuum chamberwall knock out electronsthat are then accelerated by the beam, gain energy, and strike the chamberagain, producing more electrons. The interaction between the electron cloud anda beam leads to the electron cloud effects such as single- and multi-bunchinstability, tune shift, increase of pressure and particularly can limit theability of recently build or planned accelerators to reach their designparameters. We report a principal results about the analytical study tounderstanding a such dynamics of electrons.

A physical interpretation of the cubic map coefficients describing the electron cloud evolution