@Article{JNMA-4-753,
author = {Llibre , Jaume and Pilyugina , Violetta},
title = {Polynomial Homogeneous Maps and Their Periods},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {4},
number = {4},
pages = {753--763},
abstract = {<p style="text-align: justify;">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 $m &gt; 1.$ 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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.753},
url = {http://global-sci.org/intro/article_detail/jnma/21910.html}
}