LOCAL FREQUENCY ANALYSIS OF CHAOTIC MOTION IN MULTIDIMENSIONAL SYSTEMS: ENERGY TRANSPORT AND BOTnENECKf.3 IN PLANAR OCS

Recent research on classical theories of unimolecular and bimolecular processes in two-mode systems has established the important role of dynamical bottlenecks in non-statistical behavior [ l-51. Previous work on long-time correlations in area preserving maps has identified two types of partial barrier to transport in chaotic regions of phase space [ 6-81. The first are invariant Cantor sets, called cantori [ 61, which are remnants of invariant tori that have broken up under the influence of non-integrable perturbations. The second are broken separatrices [ 8 1, which form the boundaries of resonance zones [ 91, or, in the case of dissociative dynamics, the remnants of the last bound phase curves [ 21. Transport across both cantori and broken separatrices [ 9, lo] has been incorporated into statistical models of intramolecular vibrational energy relaxation (IVR) [ I], vibrational predissociation of van der Waals molecules [ 21, isomerization [ 31 and bimolecular reaction rates [ 4,5] in two-degree of freedom (DOF) systems.