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A Nonlinear Dynamical Model For Social Order

Posted on:2006-08-27Degree:MasterType:Thesis
Country:ChinaCandidate:H LiFull Text:PDF
GTID:2120360152975681Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Mathematicians develop and use mathematical models in order to more fully understand observed phenomena and to predict outcomes under different scenarios. Models are derived from theory and/or empirical data, but all useful models must incorporate real-world data. Biological systems are an important class of models that have applications in many scientific disciplines. In this activity/project you will learn about the prey -predator - - super predator structure and learn how they have been used to model various social phenomena.A three-class model (citizen offender police) was considered in order to explain the problem about social order and this paper analyze the relation of three classes in a period .The model was generated by the prey - predator - - super predator structure, which was thoroughly studied in earlier biological papers (Olsen LF , Degn H. Chaos in biological systems. Quart Rev Biophysics 1985) . The analysis of the model mainly provides new insights into properties of numerical value of system ,by yielding a set of reduced models analyze the dynamics, The characteristic of the model was incarnated thoroughly by a group of graph.Moreover, the inner random displayed at the range of parameters for nonlinear systems has been made to attract more attention. In this paper, the main purpose is to introduce the main content of chaotic theory by simple words, and make those who hasn't understood learn about it.
Keywords/Search Tags:Nonlinear, chaos, singular perturbation, strange attractor, fractal, bifurcation, Inner random.
PDF Full Text Request
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