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Analysis of institutional authors

Barge YaÑez, HectorAuthor

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February 13, 2024
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Shape index, Brouwer degree and Poincaré-Hopf theorem

Publicated to: Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics. 155 (2): 413-428 - 2023-09-14 155(2), DOI: 10.1017/prm.2023.98

Authors:

Barge, Hector; Sanjurjo, Jose M R
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Affiliations

Univ Complutense Madrid, Fac Ciencias Matemat, Madrid 28040, Spain - Author
Univ Complutense Madrid, Inst Matemat Interdisciplinar IMI, Madrid 28040, Spain - Author
Univ Politecn Madrid, ETS Ingn Informat, Madrid 28660, Spain - Author
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Abstract

In this paper, we study the relationship of the Brouwer degree of a vector field with the dynamics of the induced flow. Analogous relations are studied for the index of a vector field. We obtain new forms of the Poincar e-Hopf theorem and of the Borsuk and Hirsch antipodal theorems. As an application, we calculate the Brouwer degree of the vector field of the Lorenz equations in isolating blocks of the Lorenz strange set.
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Keywords

Brouwer degreeConley indexNon-saddle setPoincare-hopf theoremPointsShape indexSystems

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2023, it was in position 67/490, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-12-21:

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/87909/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 89
  • Downloads: 21
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Barge, H) .

the author responsible for correspondence tasks has been Barge, H.

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