Order Now from World Scientific Buy from World Scientific Buy from Amazon.com Buy from Barnes & Noble World Scientific, 2010 · 304 pages ISBN 978-981-283-881-0 (hardcover) ISBN 978-981-3203-54-9 (softcover) ISBN 978-981-4468-67-1 (ebook) The mathematically simplest chaotic systems of differential equations, collected in one place Classics from van der Pol, Duffing, Ueda, Lorenz and Rössler — and many simpler, more elegant ones Attractor plots, Lyapunov spectra and routes to chaos for most cases Many systems never before published, plus simple electronic circuits that exhibit chaos

Elegant Chaos Algebraically Simple Chaotic Flows J. C. Sprott Emeritus Professor of Physics, University of Wisconsin–Madison About the Book This 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, Rössler, 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 other book focuses on mathematically elegant chaotic systems. It will interest chaos researchers looking for simple systems to use in their studies, instructors who want examples to teach and motivate students, and students doing independent study. Contents 1. Fundamentals 2. Periodically Forced Systems 3. Autonomous Dissipative Systems 4. Autonomous Conservative Systems 5. Low-Dimensional Systems (D < 3) 6. High-Dimensional Systems (D > 3) 7. Circular Systems 8. Spatiotemporal Systems 9. Time-Delay Systems 10. Chaotic Electrical Circuits

Last updated October 25, 2026