University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Attractiveness of periodic orbits in parametrically forced systemswith time-increasing friction

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.

[img]
Preview
Text
BDG-JMP-2012.pdf - ["content_typename_UNSPECIFIED" not defined]
Available under License : See the attached licence file.

Download (2MB) | Preview
[img]
Preview
PDF (licence)
SRI_deposit_agreement.pdf
Available under License : See the attached licence file.

Download (33kB) | Preview

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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Bartuccelli, MUNSPECIFIEDUNSPECIFIED
Deane, JUNSPECIFIEDUNSPECIFIED
Gentile, GUNSPECIFIEDUNSPECIFIED
Date : October 2012
Identification Number : 10.1063/1.4757650
Related URLs :
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 : 17 Jan 2015 14:46
URI: http://epubs.surrey.ac.uk/id/eprint/806727

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800