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Zbl 0576.58018
Hénon, M.
A two-dimensional mapping with a strange attractor.
(English)
[J] Commun. Math. Phys. 50, 69-76 (1976). ISSN 0010-3616; ISSN 1432-0916/e

The author considers the iteration $x\sb{i+1}=y\sb i+1-ax\sp 2\sb i$, $y\sb{i+1}=bx\sb i$, $x\sb i,y\sb i,a,b\in R$, and shows that there are points $(x\sb 0,y\sb 0)$ such that the corresponding $\{(x\sb n,y\sb n)\}$ sequences tend to a "strange attractor".
MSC 2000:
*37D45 Strange attractors, chaotic dynamics

Keywords: two-dimensional mapping; iteration; strange attractor

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