Study of a 2 dimensional aggregation model with non-linear adaptations
| dc.contributor.advisor | van Veen, Lennaert | |
| dc.contributor.advisor | Buono, Pietro-Luciano | |
| dc.contributor.author | Frawley, Eryn | |
| dc.date.accessioned | 2018-08-24T15:18:28Z | |
| dc.date.accessioned | 2022-03-29T17:25:51Z | |
| dc.date.available | 2018-08-24T15:18:28Z | |
| dc.date.available | 2022-03-29T17:25:51Z | |
| dc.date.issued | 2018-08-01 | |
| dc.degree.discipline | Modelling and Computational Science | |
| dc.degree.level | Master of Science (MSc) | |
| dc.description.abstract | In this paper we will explore the impacts on collective animal motion of adding non-linearity to the animals’ turning rate in a 2-dimensional model of aggregation. The model in question was proposed by Fetecau and implements a dependence on an individual’s relation to neighbours’ position and the direction in which they are moving. By utilizing a turning rate formula similar to one proposed by Eftimie, we can retain many of the dependences of the original 2-dimensional model while ensuring that the turning rate is both bounded and non-linear. The group formations resulting from this introduction of non-linearity are explored. | en |
| dc.description.sponsorship | University of Ontario Institute of Technology | en |
| dc.identifier.uri | https://hdl.handle.net/10155/943 | |
| dc.language.iso | en | en |
| dc.subject | Aggregation | en |
| dc.subject | PDE | en |
| dc.subject | Symmetry | en |
| dc.title | Study of a 2 dimensional aggregation model with non-linear adaptations | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Modelling and Computational Science | |
| thesis.degree.grantor | University of Ontario Institute of Technology | |
| thesis.degree.name | Master of Science (MSc) |