Dynamics on immediate basins for parabolic Newton maps
Dynamical Systems
2019-02-06 v1
Abstract
Dynamics on parabolic immediate basins for rational Newton maps of entire functions have been studied. It is proved that every parabolic immediate basin contains invariant accesses to the parabolic fixed point at infinity. Moreover, among these accesses there exists a unique dynamically defined access where dynamics are attracted towards the parabolic fixed point, whereas for other accesses, if there is any, the dynamics are repelled.
Cite
@article{arxiv.1902.01190,
title = {Dynamics on immediate basins for parabolic Newton maps},
author = {Khudoyor Mamayusupov},
journal= {arXiv preprint arXiv:1902.01190},
year = {2019}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1612.08643