Attractiveness of periodic orbits in parametrically forced systemswith time-increasing friction
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Bartuccelli, M, Deane, J and Gentile, G (2012) Attractiveness of periodic orbits in parametrically forced systemswith time-increasing friction Journal of Mathematicsl Physics, 53 (10), 102703. 102703-1 - 102703-27.
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Official URL: http://dx.doi.org/10.1063/1.4757650
Abstract
We consider dissipative one-dimensional systems subject to a periodic force and study numerically how a time-varying friction affects the dynamics. As a model system, particularly suited for numerical analysis, we investigate the driven cubic oscillator in the presence of friction. We find that, if the damping coefficient increases in time up to a final constant value, then the basins of attraction of the leading resonances are larger than they would have been if the coefficient had been fixed at that value since the beginning. From a quantitative point of view, the scenario depends both on the final value and the growth rate of the damping coefficient. The relevance of the results for the spin-orbit model are discussed in some detail.
| Item Type: | Article | ||||||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | ||||||||||||
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| Date : | October 2012 | ||||||||||||
| DOI : | 10.1063/1.4757650 | ||||||||||||
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| Additional Information : | Copyright 2012 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematicsl Physics, 53 (10) 102703 and may be found at Bartuccelli M, Deane J, Gentile G, Journal of Mathematical Physics. 53 (10) 102703 (2012) | ||||||||||||
| Depositing User : | Symplectic Elements | ||||||||||||
| Date Deposited : | 01 Dec 2014 11:06 | ||||||||||||
| Last Modified : | 31 Oct 2017 17:11 | ||||||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/806727 |
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