Nonlinear dynamics and chaos in agricultural systems
著者
書誌事項
Nonlinear dynamics and chaos in agricultural systems
(Developments in agricultural engineering, 12)
Elsevier, 2001
大学図書館所蔵 全9件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
この図書・雑誌をさがす
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book provides an introduction to the analysis of chaos and chaos theory as it relates to agricultural science. With clear explanations of chaos theory and principles, the first part of the book offers some basic facts, the fundamental terminology, and the concepts of deterministic chaos.The second part of this volume contains rich applications of the theory as applied to real agricultural systems. Applications include a wide area such as alternate bearing in tree crops, weed control and tillage, nonlinear vibrations in agricultural tractors, and piglet pricing analysis.Readers will find useful tools for calculating the order, rules and theory behind complex phenomena observed in arable land.
目次
Preface.Chapter 1. Introduction. Science and reproducibility.Chaos. Studies of chaos on agricultural systems. Summary of the book.Chapter 2. Deterministic Chaos. Concepts of deterministic chaos. Deterministic dynamical system. May's deterministic chaos. Complexity produced by simplicity. Return map. Period doubling route to chaos. Bifurcation diagram. Feigenbaum number.Discrete dynamical systems. One-dimensional discrete system. Malthusian growth model. Logistic growth model. Self-similarity of the bifurcation structure.Other one-dimensional discrete dynamical systems.Two-dimensional discrete dynamical system. Competition between two species. Prey-predator relationship. Continuous dynamical systems. Chaos of Lorenz System. Lorenz equation. Lorenz attractor. Chaos of Duffing's Equation. Duffing's Equation. Ueda's Chaos Attractor.Chapter 3. Analysis of Chaotic Data.Chaos time-series analysis. Spectral analysis. Delay coordinate embedding. Correlation dimension.Deterministic nonlinear prediction. Reconstruction of dynamics. Concept of prediction. Practice of prediction. Response surface methodology. Return map. Hassell's analysis.RSM analysis.Chapter 4. Numerical Practice on Chaotic Population Dynamics in Plant Communities. Dynamics of a weed community. Life table of a weed community. Density dependence of weeds. Nonlinear dynamics in weed population. Linear dynamical system. Grass-litter dynamics.Chapter 5. Nonlinear Dynamics in Alternate Bearing and Masting of Tree Crops. Introduction. Models of masting and alternate bearing. Isagi's paradigm. Resource budget model. Simulated population dynamics. Two dimensional resource budget model. Reconstruction of dynamics by RSM. Applications to acorn data. Application to citrus dynamics. Controlling chaos and fruit thinning. One dimensional system. Two dimensional system. Formulation of OGY control on the reconstructed dynamics by RSM. Control without noise. Control when the stable point estimation involves errors. Conclusions. Chapter 6. Weed-Tillage Dynamics.Introduction. Basic concept of weed-tillage dynamics. The simplest model. The model incorporating field practice. The model incorporating density effect. Application. The k state variables model. Numerical experiments. Tillage transform parameters. Biological parameters. Results and discussions. Conclusions.Chapter 7. Chaotic Vibrations in Agricultural Machinery.Introduction.Chaos in a vibrating subsoiler. Materials and methods.Correlation dimension.Bifurcation when changing the forcing frequency. Periodic vibration. Period-doubling vibration.Chaotic vibration.Largest lyapunov exponents.Deterministic nonlinear prediction on the time-series of the acceleration.Theoretical investigations of nonlinear dynamics in a farm tractor. Mathematical model of bouncing tractor. Numerical simulations. Periodic vibration. Period doubling vibration. Quasi-periodic vibration. Chaotic vibration. Bifurcation structure. Experimental investigations of non-linear dynamics in a farm tractor. Experimental set up. Experimental bifurcation. Periodic vibrations. Quasi-periodic vibration. Period-doubling/chaotic vibrations. Nonlinear resonance. References.Chapter 8. Nonlinear Time Series Analysis in Piglet Pricing Data. Introduction. Dynamic model of agricultural commodities. Cob-web theorem. Larson's feedback model. Chaos time series analysis on pig cycle. Background of pork production in Japan. Trends of pig price and population. Deterministic nonlinear prediction. Modeling. Prediction. Conclusions.References.Chapter 9. Deterministic Nonlinear Prediction on Diurnal Change in Tangential Strain of Inner Bark for White Birch. Introduction. Experimental method. Spectral analysis of time-series data. Modeling of time-series data. Non-linear dynamic model without considering the external environment (Dynamic Model A). Non-linear dynamic model with consideration of the external environment (Dynamic Model B). Non-linear regression model incorporating temperature. Results of analysis. Results of reconstruction of dynamics. Deterministic nonlinear prediction. Dynamic model of stomatal oscillation and Hopf bifurcation. Conclusions.References.Chapter 10. Spatio-Temporal Dynamics in Arable Land. Introduction. Models of spatio-temporal dynamics. Spatially extended Lotka Volterra model. Coupled map lattice. Identification of locally coupled dynamics. Prediction. Conclusion.References.Chapter 11. Fractal of Arable Land.Fractal of the crop root system. Fractal dimensions of roots. Root system growth models. Fractal of soil pores. Fractal of the soil erosion network. Fractal of field surface irregularity. Conclusion.References.Appendix A. Numerical Analysis of Ordinary Differential Equations by the Runge-Kutta Method.Appendix B. Outline of the Neural Networks.
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