Rucklidge, AM orcid.org/0000-0003-2985-0976 and Postlethwaite, CM (2017) Spirals and heteroclinic cycles in a spatially extended Rock-Paper-Scissors model of cyclic dominance. EPL, 117 (4). 48006. ISSN 0295-5075
Abstract
Spatially extended versions of the cyclic-dominance Rock-Paper-Scissors model have traveling wave (in one dimension) and spiral (in two dimensions) behaviour. The far field of the spirals behave like traveling waves, which themselves have profiles reminiscent of heteroclinic cycles. We compute numerically a nonlinear dispersion relation between the wavelength and wavespeed of the traveling waves, and, together with insight from heteroclinic bifurcation theory and further numerical results from 2D simulations, we are able to make predictions about the overall structure and stability of spiral waves in 2D cyclic dominance models.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © EPLA, 2017. This is an author produced version of a paper published in EPL. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 May 2017 15:13 |
Last Modified: | 20 Apr 2018 00:38 |
Status: | Published |
Publisher: | European Physical Society |
Identification Number: | 10.1209/0295-5075/117/48006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:116682 |