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OverviewThis heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Roessler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study. Full Product DetailsAuthor: Julien Clinton Sprott (Univ Of Wisconsin-madison, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 16.20cm , Height: 1.80cm , Length: 23.50cm Weight: 0.599kg ISBN: 9789812838810ISBN 10: 9812838813 Pages: 304 Publication Date: 06 April 2010 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsFundamentals; Periodically Forced Systems; Autonomous Dissipative Systems; Autonomous Conservative Systems; Low-Dimensional Systems (D < 3); High-Dimensional Systems (D > 3); Infinite-Dimensional Systems; Chaotic Electrical Circuits.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |