On the Use of Renormalization Technics in the Study of Discrete Population Models in One Dimension

作者: M. Cosnard , A. Eberhard

DOI: 10.1007/978-3-642-46475-1_15

关键词: Dimension (graph theory)Topological entropyNonlinear systemCombinatoricsContext (language use)Population modelPopulationRenormalizationDiscrete mathematicsSchwarzian derivativeMathematics

摘要: There exists an extensive litterature concerning first order difference equations as models of the simplest systems used in biology, ecology, economics,... In this context relation magnitude population (il we use biological terminology) generation t+1 with t is given by: $${{x}_{t+1}}=f\left( {{x}_{t}} \right)$$ where f density dependent, i.e. a nonlinear application. We refer reader to survey paper R.May [14] introduction subject and books I. Gumowski C. Mira [12][13] for mathematical study.

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