A simple approximate determination of stochastic transition for the standard mapping
- 1 August 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (8), 2121-2123
- https://doi.org/10.1063/1.524720
Abstract
The standard mapping results from a study of nonlinear forced oscillations of a gas in a closed tube. On interpreting stochastic transition as the breaking of all waves during a round trip in the tube, an estimate for the critical value of the relevant parameter is simply derived. The estimate agrees very well with the result of a more elaborate analysis of Greene.Keywords
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