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A two-dimensional mapping with a strange attractor. (English) Zbl 0576.58018
The author considers the iteration $$x_{i+1}=y_ i+1-ax^ 2_ i$$, $$y_{i+1}=bx_ i$$, $$x_ i,y_ i,a,b\in R$$, and shows that there are points $$(x_ 0,y_ 0)$$ such that the corresponding $$\{(x_ n,y_ n)\}$$ sequences tend to a ”strange attractor”.

MSC:
 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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References:
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