Studies on the equations of Ince's table

TL;DR

This paper investigates the phase space of Ince's table equations by analyzing their accessible singularities and local indices to understand their geometric and dynamic properties.

Contribution

It provides a detailed analysis of the phase space structure of Ince's equations focusing on singularities and local indices, offering new insights into their geometric behavior.

Findings

Identification of accessible singularities in Ince's equations

Characterization of local indices related to phase space structure

Enhanced understanding of the equations' geometric properties

Abstract

We study the phase space of the equations of Ince's table from the viewpoint of its accessible singularities and local index.