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

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

2004-07-24

arxiv.org/abs/nlin/0407054v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

19 pages, 9 figures

Scientific paper

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

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