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| PONTES,JOSÉ. |
| ABSTRACT We discuss two changes of paradigms that occurred in science along the XXth century: the end of the mechanist determinism, and the end of the apparent incompatibility between biology, where emergence of order is law, and physics, postulating a progressive loss of order in natural systems. We recognize today that three mechanisms play a major role in the building of order: the nonlinear nature of most evolution laws, along with distance to equilibrium, and with the new paradigm, that emerged in the last forty years, as we recognize that networks present collective order properties not found in the individual nodes. We also address the result presented by Blumenfeld (L.A. Blumenfeld, Problems of Biological Physics, Springer, Berlin, 1981) showing... |
| Tipo: Info:eu-repo/semantics/article |
Palavras-chave: Chaos; Dynamical systems; Entropy; Evolution of Science; Pattern formation; Theoretical biology. |
| Ano: 2016 |
URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652016000301151 |
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| van Coller, Lynn; UBC; lvcoller@nbs.co.za. |
| The mathematics required for a detailed analysis of the behavior of a model can be formidable. In this paper, I demonstrate how various computer packages can aid qualitative analyses by implementing techniques from dynamical systems theory. Because computer software is used to obtain the results, the techniques can be used by nonmathematicians as well as mathematicians. In-depth analyses of complicated models that were previously very difficult to study can now be done. Because the paper is intended as an introduction to applying the techniques to ecological models, I have included an appendix describing some of the ideas and terminology. A second appendix shows how the techniques can be applied to a fairly simple predator-prey model and establishes the... |
| Tipo: Peer-Reviewed Reports |
Palavras-chave: Bifurcation; Computer analysis; Dynamical systems; Ecological models; Qualitative analysis; Ratio-dependent model; XPPAUT.. |
| Ano: 1997 |
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