Predictability and Nonlinear Modelling in Natural Sciences and Economics

Released on by J. Grasman
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  • Predictability and Nonlinear Modelling in Natural Sciences and Economics Book Detail

  • Author : J. Grasman
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 662
  • ISBN 13 : 9401109621
  • File Size : 70,70 MB
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Predictability and Nonlinear Modelling in Natural Sciences and Economics by J. Grasman PDF Summary

Book Description: Researchers in the natural sciences are faced with problems that require a novel approach to improve the quality of forecasts of processes that are sensitive to environmental conditions. Nonlinearity of a system may significantly complicate the predictability of future states: a small variation of parameters can dramatically change the dynamics, while sensitive dependence of the initial state may severely limit the predictability horizon. Uncertainties also play a role. This volume addresses such problems by using tools from chaos theory and systems theory, adapted for the analysis of problems in the environmental sciences. Sensitive dependence on the initial state (chaos) and the parameters are analyzed using methods such as Lyapunov exponents and Monte Carlo simulation. Uncertainty in the structure and the values of parameters of a model is studied in relation to processes that depend on the environmental conditions. These methods also apply to biology and economics. For research workers at universities and (semi)governmental institutes for the environment, agriculture, ecology, meteorology and water management, and theoretical economists.

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Nonlinear Difference Equations

Nonlinear Difference Equations

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It is generally acknowledged that deterministic formulations of dy namical phenomena in the social sciences need to be treated differently from similar formulat