Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem
In this work, dynamical properties of the solutions of differential systems in the plane are provided using certain constants related with the Kowalevskaya exponents. An orbital normal form that allows to study the existence of analytic and non-analytic first integrals is given. We apply the results to study the algebraic and analytic integrability around several singularities.
Authors
- Antonio Algaba (ORCID: https://orcid.org/0000-0001-5872-7112)
- M. Reyes (ORCID: https://orcid.org/0000-0003-2485-832X)
- Cristóbal García (ORCID: https://orcid.org/0000-0002-7069-287X)
- Jaume Giné (ORCID: https://orcid.org/0000-0001-7109-2553)
Institutions
- Universitat de Lleida (ES)
- Universidad de Huelva (ES)
Publication Details
- Journal
- Communications in Contemporary Mathematics
- Published
- 2024-11-08
- DOI
- https://doi.org/10.1142/s0219199725500099
- Citations
- 1
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 1.01
Funders
- Generalitat de Catalunya
- Junta de Andalucía
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- European Regional Development Fund
- Agencia Estatal de Investigación