Chaotic modelling and simulation: analysis of chaotic models, attractors and forms
著者
書誌事項
Chaotic modelling and simulation: analysis of chaotic models, attractors and forms
CRC Press, c2009
大学図書館所蔵 件 / 全5件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 303-344) and index
"A Chapman & Hall book"
内容説明・目次
内容説明
Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of Models
Chaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models.
Requiring little prior knowledge of mathematics, the book focuses on classical forms and attractors as well as new simulation methods and techniques. Ideas clearly progress from the most elementary to the most advanced. The authors cover deterministic, stochastic, logistic, Gaussian, delay, Henon, Holmes, Lorenz, Roessler, and rotation models. They also look at chaotic analysis as a tool to design forms that appear in physical systems; simulate complicated and chaotic orbits and paths in the solar system; explore the Henon-Heiles, Contopoulos, and Hamiltonian systems; and provide a compilation of interesting systems and variations of systems, including the very intriguing Lotka-Volterra system.
Making a complex topic accessible through a visual and geometric style, this book should inspire new developments in the field of chaotic models and encourage more readers to become involved in this rapidly advancing area.
目次
Introduction. Models and Modeling. The Logistic Model. The Delay Logistic Model. The Henon Model. Three-Dimensional and Higher-Dimensional Models. Nonchaotic Systems. Rotations. Shape and Form. Chaotic Advection. Chaos in Galaxies and Related Simulations. Galactic-Type Potentials and the Henon-Heiles System. Odds and Ends. Milestones. References. List of Figures. Index.
「Nielsen BookData」 より