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, Rssler, 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.
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