Published January 15, 1981
| Published
Journal Article
Open
On the onset of chaotic motion in deterministic systems
- Creators
- Ramaswamy, Ramakrishna
-
Marcus, R. A.
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.
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.Attached Files
Published - RAMjcp81a.pdf
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Additional details
- Eprint ID
- 11293
- Resolver ID
- CaltechAUTHORS:RAMjcp81a
- National Science Foundation
- Created
-
2008-07-29Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field
- Other Numbering System Name
- Arthur Amos Noyes Laboratory of Chemical Physics
- Other Numbering System Identifier
- 6240