Abstract
Let Fq be the finite field with q elements and char(Fq) odd. In this article we will describe completely the dynamics of the map f(X)=c(Xq+1+aX2) over the finite field Fq2, for a∈{±1} and c∈Fq⁎. We will also give some partial results for a∈Fq⁎∖{±1}.
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