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

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Christos H. Skiadas Charilaos Skiadas

Chaotic Modelling and Simulation

Analysis of Chaotic Models, Attractors and Forms

Christos H. Skiadas, Charilaos Skiadas

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English

Chapman & Hall/CRC
20 October 2008

Differential calculus & equations; Chaos theory; Physics; Life sciences: general issues; Environmental science, engineering & technology

Offers Both Standard and Novel Approaches for the Modeling of Systems Examines 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, Rossler, 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.

By: Christos H. Skiadas, Charilaos Skiadas
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm, Spine: 25mm
Weight: 680g
ISBN: 9781420079005
ISBN 10: 142007900X
Pages: 368
Publication Date: 20 October 2008
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

Skiadas, Christos H.; Skiadas, Charilaos