On the bifurcation of species

Bees, M.A., Coullet, P.H. and Spiegel, E.A. (2008) On the bifurcation of species. Chaos: An Interdisciplinary Journal of Nonlinear Science, 18(4), 043114. (doi: 10.1063/1.3009196)

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Publisher's URL: http://dx.doi.org/10.1063/1.3009196


We propose and analyze a model of evolution of species based upon a general description of phenotypes in terms of a single quantifiable characteristic. In the model, species spontaneously arise as solitary waves whose members almost never mate with those in other species, according to the rules laid down. The solitary waves in the model bifurcate and we interpret such events as speciation. Our aim in this work is to determine whether a generic mathematical mechanism may be identified with this process of speciation. Indeed, there is such a process in our model: it is the Andronov homoclinic bifurcation. It is robust and is at the heart of the formation of new solitary waves, and thus (in our model) new species.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Bees, Dr Martin
Authors: Bees, M.A., Coullet, P.H., and Spiegel, E.A.
Subjects:Q Science > QA Mathematics
Q Science > QH Natural history
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Chaos: An Interdisciplinary Journal of Nonlinear Science
ISSN (Online):1089-7682
Published Online:14 November 2008

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