Coarse-grained periodic orbits and bifurcations in a Markov chain model for evolution of labor division

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We construct a Markov process model to describe the evolution of labor division and its dynamical behavior is investigated by numerical simulations in detail. We have shown that under the mechanism of increasing returns, the division of labor will emerge from the initial homogenous distribution and with the change of parameters there are period-adding coarse-grained bifurcations in the model. The model gives an example of emergent property in the evolution of complex systems and reveals an interesting dynamical behavior of the Markov chain process. Key words: Evolution, Bifurcation, Pattern formation PACS number(s): 87.23.-n, 89.75.Fb, 05.45.-a
19 pages, 9 figures

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Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80786

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0407054
 http://arxiv.org/abs/nlin/0407054

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arXiv