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”.


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