Averaging for Quasiperiodic Systems with Applications

4 Nonresonant, resonant, and Diophantine frequency vectors; application to KBM 6 4.1 Definitions and basic properties of various sets of frequency vectors . . . . . . . . . . 6 4.1.1 Diophantine and nonresonant frequency vectors . . . . . . . . . . . . . . . . . 6 4.1.2 Resonant frequency vectors and their multiplicity . . . . . . . . . . . . . . . . 6 4.2 KBM results using various sets of frequency vectors . . . . . . . . . . . . . . . . . . 7