One-dimensional polynomial maps, periodic points and multipliers

TL;DR

This paper explores tangent maps associated with the multipliers of periodic points in typical one-dimensional polynomial maps, providing insights into their structure and behavior.

Contribution

It introduces a detailed analysis of tangent maps linked to periodic point multipliers, offering new understanding of their properties in polynomial dynamics.

Findings

Characterization of tangent maps for periodic points

Insights into the behavior of multipliers in polynomial maps

Potential applications in dynamical systems analysis

Abstract

We discuss tangent maps related to the multipliers of periodic points of a typical one-dimensional polynomial map.