On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier

A. Algaba, N. Fuentes, E. Gamero and C. García

Applied Mathematics and Computation, 2021, vol. 405, issue C

Abstract: 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.

Keywords: Integrability problem; Nondegenerate Hopf-zero singularity; Quasi-homogeneous normal forms; Analytic first integrals; Inverse Jacobi multipliers (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321003313
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003313

DOI: 10.1016/j.amc.2021.126241

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().