On the Dynamics of the Family axd(x − 1) + x

Author

Alzahra University, Vanak, Tehran, Iran

Abstract

In this paper we consider the dynamics of the real polynomials of degree d + 1 with a fixed point of multiplicity d ≥ 2. Such polynomials are conjugate to fa,d(x) = axd(x−1)+x, a ∈ R\{0}, d ∈ N. Our aim is to study the dynamics fa,d in some special cases.

Keywords


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