@article{Diaz-Ruelas:2017:epjst/e2016-60264-4,
author = {Diaz-Ruelas, A and Jensen, HJ and Piovani, D and Robledo, A},
doi = {epjst/e2016-60264-4},
journal = {European Physical Journal - Special Topics},
pages = {341--351},
title = {Relating high dimensional stochastic complex systems to low-dimensional intermittency},
url = {http://dx.doi.org/10.1140/epjst/e2016-60264-4},
volume = {226},
year = {2017}
}

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TY  - JOUR
AB  - We evaluate the implication and outlook of an unanticipatedsimplification in the macroscopic behavior of two high-dimensional stochasticmodels: the Replicator Model with Mutations and the TangledNature Model (TaNa) of evolutionary ecology. This simplification consistsof the apparent display of low-dimensional dynamics in the nonstationaryintermittent time evolution of the model on a coarse-grainedscale. Evolution on this time scale spans generations of individuals,rather than single reproduction, death or mutation events. While a localone-dimensional map close to a tangent bifurcation can be derivedfrom a mean-field version of the TaNa model, a nonlinear dynamicalmodel consisting of successive tangent bifurcations generates time evolutionpatterns resembling those of the full TaNa model. To advancethe interpretation of this finding, here we consider parallel results on agame-theoretic version of the TaNa model that in discrete time yieldsa coupled map lattice. This in turn is represented, a la Langevin, bya one-dimensional nonlinear map. Among various kinds of behaviourswe obtain intermittent evolution associated with tangent bifurcations.We discuss our results.
AU  - Diaz-Ruelas,A
AU  - Jensen,HJ
AU  - Piovani,D
AU  - Robledo,A
DO  - epjst/e2016-60264-4
EP  - 351
PY  - 2017///
SN  - 1951-6355
SP  - 341
TI  - Relating high dimensional stochastic complex systems to low-dimensional intermittency
T2  - European Physical Journal - Special Topics
UR  - http://dx.doi.org/10.1140/epjst/e2016-60264-4
UR  - http://hdl.handle.net/10044/1/52677
VL  - 226
ER  - 

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