Work

Survey on Integrability and Center Problem of Nilpotent Planar Differential Systems

Year: 2026

Type: article

Abstract: We overview the studies on integrability, the center problem and the existence of inverse integrating factor for a planar differential system with a nilpotent singularity. We analyze the connections among these three concepts and provide several examples to enhance understanding of the topics discussed.

Source: Qualitative Theory of Dynamical Systems

DOI: 10.1007/s12346-026-01552-7

Authors: Antonio Algaba, Jaume Giné, Manuel Reyes

Institutions: Universidad de Huelva, Universitat de Lleida

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Generalitat de Catalunya, Junta de Andalucía, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación