This monograph consists of two volumes and provides a unified comprehensive presentation of a new hierarchical paradigm and discussions of various applications of hierarchical methods for nonlinear electrodynamic problems. Volume 2 is the first book in which a hierarchical treatment of Undulative Electrodynamic Systems is given and in which such systems like EH-accelerators, EH-formers, EH-coolers, the klystron and multi-harmonic Two-Stream Superheterodyne Free Electron Lasers (TSFELs) are described and analysed.