Survey on Integrability and Center Problem of Nilpotent Planar Differential Systems
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.
Authors
- M. Reyes (ORCID: https://orcid.org/0000-0003-2485-832X)
- Jaume Giné (ORCID: https://orcid.org/0000-0001-7109-2553)
- Antonio Algaba
Institutions
- Universitat de Lleida (ES)
- Universidad de Huelva (ES)
Publication Details
- Journal
- Qualitative Theory of Dynamical Systems
- Published
- 2026-07-16
- DOI
- https://doi.org/10.1007/s12346-026-01552-7
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Generalitat de Catalunya
- Junta de Andalucía
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- Agencia Estatal de Investigación