Year: 2022
Author: Jaume Llibre, Violetta Pilyugina
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 753–763
Abstract
We study the set of periods of the homogeneous polynomial maps $f:\mathbb{R}^n → \mathbb{R}^n$ and $f : \mathbb{C}^n → \mathbb{C}^n$ of degree $m > 1.$ For these complex maps, we also describe the number of invariant straight lines through the origin by $f^k$ for $k = 1, 2, . . .$ and the dynamics of $f^k$ over them.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.753
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 4 : pp. 753–763
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Homogeneous polynomial map Period Set of period Self-map of a sphere.