We are interested in understanding and controlling intramolecular vibrational energy redistribution - the primordial step in a chemical reaction. We seek both time-dependent and time-independent (eigenstates) insights using classical, semiclassical and quantum perspectives. The primary aim is to highlight the classical-quantum correspondence of energy flow dynamics in polyatomic molecules. More specifically, we hope to elucidate the phase space topology/transport in such systems which typically show a mixed regular-chaotic phase space. Ultimately, we would like to use our insights into classical dynamics to control both classical and quantum dynamics.