Showing papers by "Ramakrishna Ramaswamy published in 1983"

Chaotic motions in vibrating molecules: The generalized Hénon-Heiles model

Abstract: The method of avoided crossings is applied to a simple molecular model, the generalized Henon-Heiles system of coupled oscillators. The aim here is to determine the onset of wide-spread chaotic motions. The method is used to locate, in a simple manner, the resonances that lead to chaotic motions for different choices of parameters, wherein the frequencies of the unperturbed oscillators are in the ratio 3 : 4 and 7 : 13. The accuracy of the prediction is verified against numerical calculations of classical trajectories.