Ramaswamy, Ramakrishna and Marcus, R. A. (1981) On the onset of chaotic motion in deterministic systems. Journal of Chemical Physics, 74 (2). pp. 1385-1393. ISSN 0021-9606 http://resolver.caltech.edu/CaltechAUTHORS:RAMjcp81a
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Abstract
In the present paper the classical counterpart of the quantum avoided crossing method for detecting chaos is described using classical (Lie-transform) perturbation theory and a grid of action variables. The results are applied to two systems of coupled oscillators with cubic and quartic nonlinearities. The plots of energy of members of the grid versus the perturbation parameter provide a visual description for predicting the onset of chaos.
| Item Type: | Article | ||||
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| Additional Information: | Copyright © 1981 American Institute of Physics. Received 16 June 1980; accepted for 26 September 1980. We are pleased to acknowledge support of this research by a grant from the National Science Foundation. We have greatly benefited from conversations with Alan Weinstein. Arthur Amos Noyes Laboratory of Chemical Physics, Contribution No. 6240. | ||||
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| Subject Keywords: | PERTURBATION THEORY, CLASSICAL MECHANICS, INSTABILITY, HAMILTONIAN FUNCTION | ||||
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| Record Number: | CaltechAUTHORS:RAMjcp81a | ||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:RAMjcp81a | ||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||
| ID Code: | 11293 | ||||
| Collection: | CaltechAUTHORS | ||||
| Deposited By: | Archive Administrator | ||||
| Deposited On: | 29 Jul 2008 20:47 | ||||
| Last Modified: | 26 Dec 2012 10:11 |
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