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Analysis of institutional authors

Barbero-Liñán MAuthor

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Article

Kinematic reduction and the Hamilton-Jacobi equation

Publicated to:Journal Of Geometric Mechanics. 4 (3): 207-237 - 2012-09-01 4(3), DOI: 10.3934/jgm.2012.4.207

Authors: Barbero-Liñán M; De León M; De Diego D; Marrero J; Muñoz-Lecanda M

Affiliations

CSIC - Universidad Autónoma de Madrid - Author
Universidad Carlos III de Madrid - Author
Universidad de la Laguna - Author
Universitat Politècnica de Catalunya - Author

Abstract

A close relationship between the classical Hamilton-Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship relies on new mathematical techniques for mechanics defined on a skew-symmetric algebroid. This geometric structure allows us to describe in a simplified way the mechanics of nonholonomic systems with both control and external forces. © American Institute of Mathematical Sciences.

Keywords

Decoupling vector fieldsHamilton-jacobi equationIntegrabilityKinematic reductionLagrangian mechanicsLie algebroidsMechanical control systemsSkew-symmetric algebroidsSystems

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Journal Of Geometric Mechanics 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, 2012, it was in position 58/247, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 5.39, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-11, the following number of citations:

  • WoS: 15
  • Scopus: 21
  • Google Scholar: 27
  • OpenCitations: 12

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 2025-06-11:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 4 (PlumX).

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:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

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 (BARBERO LIÑAN, MARIA) .