Loading [MathJax]/jax/output/CommonHTML/jax.js
Journals
Resources
About Us
Open Access
Go to previous page

Polynomial Homogeneous Maps and Their Periods

Polynomial Homogeneous Maps and Their Periods

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:RnRn and f:CnCn of degree m>1. For these complex maps, we also describe the number of invariant straight lines through the origin by fk for k=1,2,... and the dynamics of fk over them.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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.

Author Details

Jaume Llibre Email

Violetta Pilyugina Email