The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry
| dc.contributor.author | Mortell, Michael P. | |
| dc.contributor.author | Seymour, Brian R. | |
| dc.date.accessioned | 2019-04-30T10:43:26Z | |
| dc.date.available | 2019-04-30T10:43:26Z | |
| dc.date.issued | 2019-04-05 | |
| dc.date.updated | 2019-04-30T10:35:29Z | |
| dc.description.abstract | Nonlinear resonant oscillations in continuous media contain two natural time scales: the travel time in the medium and the ‘slow’ time defined by the small nonlinearity. A multiscale approach is used to describe the evolution to a periodic state. We focus on three basic experiments that define nonlinear resonant oscillations in continuous media: a gas in both a straight tube and a tube of variable cross-section, and shallow water in a tank. The outcomes of these experiments are described and the mathematical techniques that show the evolution to the final periodic states are given in some detail. | en |
| dc.description.status | Peer reviewed | en |
| dc.description.version | Published Version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.articleid | 403 | en |
| dc.identifier.citation | Mortell, M. P. and Seymour, B. R. (2019) 'The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry', Mathematical Modelling of Natural Phenomena, 14(4), 403 (20pp). doi: 10.1051/mmnp/2019005 | en |
| dc.identifier.doi | 10.1051/mmnp/2019005 | en |
| dc.identifier.eissn | 1760-6101 | |
| dc.identifier.endpage | 20 | en |
| dc.identifier.issn | 0973-5348 | |
| dc.identifier.issued | 4 | en |
| dc.identifier.journaltitle | Mathematical Modelling of Natural Phenomena | en |
| dc.identifier.startpage | 1 | en |
| dc.identifier.uri | https://hdl.handle.net/10468/7823 | |
| dc.identifier.volume | 14 | en |
| dc.language.iso | en | en |
| dc.publisher | EDP Sciences | en |
| dc.relation.uri | https://doi.org/10.1051/mmnp/2019005 | |
| dc.rights | © 2019, EDP Sciences. Copyright of Mathematical Modelling of Natural Phenomena is the property of EDP Sciences and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. | en |
| dc.subject | Nonlinear wave | en |
| dc.subject | Resonance | en |
| dc.subject | Evolution | en |
| dc.title | The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry | en |
| dc.type | Article (peer-reviewed) | en |
