Artículo
On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
Autor/es | Algaba, A.
Fuentes, N. Gamero Gutiérrez, Estanislao ![]() ![]() ![]() ![]() ![]() ![]() García, C. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2021 |
Fecha de depósito | 2022-09-26 |
Publicado en |
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Resumen | In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the ... In this paper we use the orbital normal form of the nondegenerate Hopf-zero singularity to obtain necessary conditions for the existence of first integrals for such singularity. Also, we analyze the relation between the existence of first integrals and of inverse Jacobi multipliers. Some algorithmic procedures for determining the existence of first integrals are presented, and they are applied to some families of vector fields. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | MTM2017-87915-C2-1-P
![]() PGC2018-096265-B-I00 ![]() P12-FQM-1658 ![]() UHU-1260150 ![]() TIC-130 ![]() FQM-276 ![]() |
Cita | Algaba, A., Fuentes, N., Gamero Gutiérrez, E. y García, C. (2021). On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. Applied Mathematics and Computation, 405, Article number 126241. |
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