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Replicators with Hebb interactions
Authors:VM de Oliveira
Institution:(1) Instituto de Fısica de S ao Carlos, Universidade de S ao Paulo, Caixa Postal 369, 13560-970, S ao Carlos SP, Brazil, BR
Abstract:We do an analytical study of the statistical properties of an ecosystem composed of species that are coupled via pairwise interactions that are given by the Hebb rule and have deterministic self-interactions u. In the model each species is characterized by an infinite set of p = αN traits. As one of our main results, we observe that the ecosystem becomes less cooperative as the complexity of species (number of traits) is increased. Received 23 September 2002 Published online 4 February 2003 RID="a" ID="a"e-mail: viviane@if.sc.usp.br
Keywords:PACS  87  10  +e General theory and mathematical aspects –  87  23  Cc Population dynamics and ecological pattern formation –  87  23  Kg          Dynamics of evolution
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