RT Journal Article
T1 Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
A1 Giné Mesa, Jaume
AB In this work dynamical properties of the solutions of differential systems in theplane are provided using certain constants related with the Kowalevskaya exponents.An orbital normal form that allows to study the existence of analytic and non-analyticfirst integrals is given. We apply the results to study the algebraic and analyticintegrability around several singularities.
PB World Scientific Publishing
SN 17936683
YR 2024
FD 2024
LK https://hdl.handle.net/10272/25355
UL https://hdl.handle.net/10272/25355
LA eng
NO Algaba, A., García, C., Reyes, M., & Giné, J. (2024). Kowalevskaya exponents and normal forms of planar dynamical systems. Application to integrability problem. In Communications in Contemporary Mathematics. World Scientific Pub Co Pte Ltd. https://doi.org/10.1142/s0219199725500099
NO The first three authors are partially supported by [Ministerio de Economia y Competitividad, Plan Nacional I+D+I] co-financed with FEDER funds, in the frame of the project PGC2018-096265-B-I00, and by [Consejería de Educación y Ciencia de la Junta de Andalucía] (FQM-276, P12-FQM-1658, UHU126150 and P20\_00764). The last author is partially supported by the Agencia Estatal de Investigación grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Caluña) grant number 2021SGR 01618.
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026