An algebraic Hamiltonian for H2O, D2O, H2S, CH2 of CH2Br2 and CD2 of CD2Br2
containing anharmonicities and resonances is proposed with coefficients el
ucidated from the fit with the experimentally observed levels. It is demons
trated that most often the anharmonic parts show clues of action (energy) l
ocalization. Resonances are shown full of periodic, quasiperiodic and chaot
ic motion, while the intersection of the various resonances is full of chao
tic motion. The barrier in intramolecular vibrational relaxation with extre
me mutual irrational ratios of resonance frequencies is shown full of perio
dic or quasiperiodic motion, leading to the dynamical bottlenecks. (C) 2000
Published by Elsevier Science B.V. All rights reserved.