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Creators/Authors contains: "De Leo, Roberto"

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  1. ; (, Nonlinear Dynamics)
    null (Ed.)
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  2. ; (, Discrete & Continuous Dynamical Systems)
    null (Ed.)
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  3. (, International Journal of Bifurcation and Chaos)
    null (Ed.)
    We study numerically the [Formula: see text]- and [Formula: see text]-limits of the Newton maps of quadratic polynomial transformations of the plane into itself. Our results confirm the conjectures posed in a recent work about the general dynamics of real Newton maps on the plane. 
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  4. (, Fractals)
    We collect from several sources some of the most important results on the forward and backward limits of points under real and complex rational functions, and in particular real and complex Newton maps, in one variable and we provide numerical evidence that the dynamics of Newton maps [Formula: see text] associated to real polynomial maps [Formula: see text] with no complex roots has a complexity comparable with that of complex Newton maps in one variable. In particular such a map [Formula: see text] has no wandering domain, almost every point under [Formula: see text] is asymptotic to a fixed point and there is some non-empty open set of points whose [Formula: see text]-limit equals the set of non-regular points of the Julia set of [Formula: see text]. The first two points were proved by B. Barna in the real one-dimensional case. 
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  5. ; (, Acta Applicandae Mathematicae)
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