Elegant Chaos: Algebraically Simple Chaotic Flows (Google eBook)

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World Scientific, 2010 - Mathematics - 304 pages
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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, Rossler, 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.
  

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Contents

1 Fundamentals
1
2 Periodically Forced Systems
41
3 Autonomous Dissipative Systems
61
4 Autonomous Conservative Systems
95
5 Lowdimensional Systems D 3
109
6 Highdimensional Systems D 3
115
7 Circulant Systems
165
8 Spatiotemporal Systems
195
9 TimeDelay Systems
221
10 Chaotic Electrical Circuits
233
Bibliography
265
Index
281
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