The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three

In this paper, we show that a center-focus critical point of cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three is a center type if and only if the first five Lyapunov quantities vanish.

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.v18i2.18-37
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

The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three

Alexandru Șubă
Acta et commentationes Ştiinţe Exacte şi ale Naturii
Advanced Differential Equations and Dynamical Systems
article

The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three

Alexandru Șubă
article en

Abstract

In this paper, we show that a center-focus critical point of cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three is a center type if and only if the first five Lyapunov quantities vanish.

Acta et commentationes Ştiinţe Exacte şi ale NaturiiVol. 18(2)
Ion Creangă Pedagogical State University (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.

The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three — Alexandru Șubă · Acta et commentationes Ştiinţe Exacte şi ale Naturii (2024) | TGRS Research Map | TGRS