Affine invariant conditions for a class of differential polynomial cubic systems

In this article the affine invariant criteria constructed in terms of algebraic polynomials with coefficients ã ∈ R^20 for a class of cubic systems are established.We are focused on non-degenerate real cubic systems with 7 invariant straight lines,considering the line at infinity and their multiplicities and possesing four real singularitiesat infinity.

Authors

Institutions

Publication Details

Journal
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Published
2024-12-01
DOI
https://doi.org/10.36120/2587-3644.v18i2.97-113
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Affine invariant conditions for a class of differential polynomial cubic systems

Cristina Bujac
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Advanced Differential Equations and Dynamical Systems
article

Affine invariant conditions for a class of differential polynomial cubic systems

Cristina Bujac
article en

Abstract

In this article the affine invariant criteria constructed in terms of algebraic polynomials with coefficients ã ∈ R^20 for a class of cubic systems are established.We are focused on non-degenerate real cubic systems with 7 invariant straight lines,considering the line at infinity and their multiplicities and possesing four real singularitiesat infinity.

Acta et commentationes Ştiinţe Exacte şi ale NaturiiVol. 18(2)
Academy of Sciences of Moldova (MD)
Openalex Percentile: Top 61%
Advanced Differential Equations and Dynamical Systems
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.

Affine invariant conditions for a class of differential polynomial cubic systems — Cristina Bujac · Acta et commentationes Ştiinţe Exacte şi ale Naturii (2024) | TGRS Research Map | TGRS