Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

  1. Antonio Algaba Durán 1
  2. Cristóbal García García 1
  3. Manuel Reyes Columé 1
  1. 1 Universidad de Huelva
    info

    Universidad de Huelva

    Huelva, España

    ROR https://ror.org/03a1kt624

Journal:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Year of publication: 2021

Volume: 20

Issue: 2

Type: Article

DOI: 10.1007/S12346-021-00479-5 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Qualitative theory of dynamical systems

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  • Scopus Cited by: 1 (21-11-2023)
  • Web of Science Cited by: 0 (22-10-2023)
  • Dimensions Cited by: 0 (10-04-2023)

JCR (Journal Impact Factor)

  • Year 2021
  • Journal Impact Factor: 0.931
  • Journal Impact Factor without self cites: 0.763
  • Article influence score: 0.314
  • Best Quartile: Q3
  • Area: MATHEMATICS Quartile: Q3 Rank in area: 176/333 (Ranking edition: SCIE)
  • Area: MATHEMATICS, APPLIED Quartile: Q4 Rank in area: 212/267 (Ranking edition: SCIE)

SCImago Journal Rank

  • Year 2021
  • SJR Journal Impact: 0.358
  • Best Quartile: Q3
  • Area: Discrete Mathematics and Combinatorics Quartile: Q3 Rank in area: 55/87
  • Area: Applied Mathematics Quartile: Q3 Rank in area: 355/603

Scopus CiteScore

  • Year 2021
  • CiteScore of the Journal : 1.8
  • Area: Discrete Mathematics and Combinatorics Percentile: 70
  • Area: Applied Mathematics Percentile: 44

Journal Citation Indicator (JCI)

  • Year 2021
  • Journal Citation Indicator (JCI): 0.85
  • Best Quartile: Q2
  • Area: MATHEMATICS Quartile: Q2 Rank in area: 146/475
  • Area: MATHEMATICS, APPLIED Quartile: Q2 Rank in area: 118/317

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(Data updated as of 10-04-2023)
  • Total citations: 0
  • Recent citations: 0
  • Field Citation Ratio (FCR): 0.0

Abstract

We consider the analytically integrable perturbations of cubic homogeneous differential systems whose origin is an isolated singularity. We prove that are orbitally equivalent to the cubic vector field associated. We also characterize the analytically integrable centers. We apply the results to two families of degenerate vector fields.

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Bibliographic References

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