Open AccessReal cubic differential systems with a linear center and multiple line at infinity
Author(s) -
Alexandru Suba
Publication year - 2022
Publication title -
acta et commentationes: ştiinţe exacte şi ale naturii
Language(s) - English
Resource type - Journals
eISSN - 2587-3644
pISSN - 2537-6284
DOI - 10.36120/2587-3644.v12i2.50-62
Subject(s) - multiplicity (mathematics) , center (category theory) , infinity , mathematics , line (geometry) , mathematical analysis , differential (mechanical device) , physics , geometry , chemistry , thermodynamics , crystallography
We classify all cubic differential systems with a linear center and multiple line at infinity up to multiplicity four. For every class with the multiplicity of the line at infinity four the center problem is solved. It is proved that the monodromic points are of the center type if the first three Lyapunov quantities vanish