Chapter 1. Introduction.
Science and reproducibility.
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.
Period doubling route to chaos.
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.
Continuous dynamical systems.
Chaos of Lorenz System.
Chaos of Duffing's Equation.
Ueda's Chaos Attractor.
Chapter 3. Analysis of Chaotic Data.
Chaos time-series analysis.
Delay coordinate embedding.
Deterministic nonlinear prediction.
Reconstruction of dynamics.
Concept of prediction.
Practice of prediction.
Response surface methodology.
Chapter 4. Numerical Practice on Chaotic Population Dynamics in Plant Communities.
Dynamics of a weed community.
Life table of a weed community.
- No. of pages:
- © 2001
21st June 2001
- eBook ISBN:
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Affiliations and Expertise
Associate Professor, Tokyo University of Agriculture and Technology, 3-5-8 Saiwai-cho, Fuchu-shi, Tokyo 183, Japan
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.