RT Journal Article
T1 Analytic partial-integrability of a symmetric Hopf-zero degeneracy
A1 Algaba Durán, Antonio
A1 García García, Cristóbal, Matemático
A1 Reyes Columé, Manuel
AB We deal with analytic three-dimensional symmetric systems whose origin is a Hopf-zero singularity. Once it is not completely analytically integrable, we provide criteria on the existence of at least one functionally independent analytic first integral. In the generic case, we characterize the analytic partially integrable systems by using orbitally equivalent normal forms. We also solve the problem through the existence of a class of formal inverse Jacobi multiplier of the system.
PB Cambridge University Press
SN 0308-2105
SN 1473-7124 (electrónico)
YR 2022
FD 2022
LK http://hdl.handle.net/10272/21253
UL http://hdl.handle.net/10272/21253
LA eng
NO Algaba, A., García, C., & Reyes, M. (2022). Analytic partial-integrability of a symmetric Hopf-zero degeneracy. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-20. doi:10.1017/prm.2022.19
NO This work has been partially supported by Ministerio de Economía 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 and UHU126150).
DS Repositorio Institucional de la Universidad de Huelva
RD 14 jul 2026