Chaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms

ISBN-13: 9780367386658 / Angielski / Miękka / 2019 / 364 str.

Christos H. Skiadas; Charilaos Skiadas

Opis

Containing an extensive bibliography that lists the original work that defined the field, this book presents a large, up-to-date collection of chaotic models and chaotic attractors. Using more than 500 graphs and illustrations, the authors show how to design, estimate, and test an array of models, such as Gaussian, delay logistic, Hénon, Holmes, Lorenz, Rössler, and rotation models. They explore the historic progression of chaos, from its humble beginnings to a major theory. The authors also include exercises, definitions, theorems, and proofs, along with simulation tools and code on the book’s website, http://www.cmsim.net./

Spis treści

Introduction. Models and Modeling. The Logistic Model. The Delay Logistic Model. The Hénon 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 Hénon–Heiles System. Odds and Ends. Milestones. References. List of Figures. Index.

O autorze

Skiadas, Christos H.; Skiadas, Charilaos