Ramaswamy, Ramakrishna (1983) Chaotic motions in vibrating molecules: The generalized Hénon-Heiles model Chemical Physics, 76 (1). pp. 15-24. ISSN 0301-0104
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0301-0104(83)85046-0
Abstract
The method of avoided crossings is applied to a simple molecular model, the generalized Hénon-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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 45359 |
| Deposited On: | 28 Jun 2011 04:42 |
| Last Modified: | 28 Jun 2011 04:42 |
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