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- W2052079126 abstract "Let F stand for the field of real or complex numbers, φ : Fn → Fn be any given polynomial map of the form ψ(x) = x + higher order terms. We attach to it the following operator D : F[x] → F[x] defined by D(f) = f − f o ψ, where F[x] = F[x1,x2, ..., xn]-the F-algebra of polynomials in variables x1,x2, ..., xn, f ∊ F[x] and o stands for the composition(superposition) operation. It is shown that trajectory of any f ∊ F[x] tends to zero, with respect to a metric, and stabilization of all trajectories is equivalent to the stabilization of trajectories of x1, x2, ..., xn." @default.
- W2052079126 created "2016-06-24" @default.
- W2052079126 creator A5079724321 @default.
- W2052079126 date "2013-04-26" @default.
- W2052079126 modified "2023-09-25" @default.
- W2052079126 title "An iteration problem" @default.
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- W2052079126 doi "https://doi.org/10.1088/1742-6596/435/1/012007" @default.
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