Special parameters and linear deformations of the family \( (\wp(z))^2 + c \)

In this work, we examine the space of parameters of a family of elliptic functions of order four. For the case of square, rectangular, and triangular lattices, we determine parameters for which the Fatou set is empty, consists of an attractive component, or consists of a parabolic component.

Authors

Institutions

Publication Details

Journal
Cubo
Published
2025-08-08
DOI
https://doi.org/10.56754/0719-0646.2702.307
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Special parameters and linear deformations of the family \( (\wp(z))^2 + c \)

Adrián Esparza‐Amador
Cubo
Differential Equations and Boundary Problems
article

Special parameters and linear deformations of the family \( (\wp(z))^2 + c \)

Adrián Esparza‐Amador
article en

Abstract

In this work, we examine the space of parameters of a family of elliptic functions of order four. For the case of square, rectangular, and triangular lattices, we determine parameters for which the Fatou set is empty, consists of an attractive component, or consists of a parabolic component.

CuboVol. 27(2)
Austral University of Chile (CL)
Openalex Percentile: Top 61%
Differential Equations and Boundary Problems
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Special parameters and linear deformations of the family \( (\wp(z))^2 + c \) — Adrián Esparza‐Amador · Cubo (2025) | TGRS Research Map | TGRS