Quadratic and cubic Newton maps of rational functions
نویسندگان
چکیده
The dynamics of all quadratic Newton maps rational functions is completely described. Julia set such a map found to be either Jordan curve or totally disconnected. It proved that no with degree at least three any function conformally conjugate unicritical polynomial (i.e., exactly one finite critical point). However, there are cubic which other polynomials. shown closed curve. whenever the has two attracting fixed points.
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ژورنال
عنوان ژورنال: Proceedings - Mathematical Sciences
سال: 2022
ISSN: ['0973-7685', '0253-4142']
DOI: https://doi.org/10.1007/s12044-022-00688-1