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Analysis of institutional authors

Luque, B.Corresponding Author

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June 9, 2019
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Article

Quasiperiodic Graphs: Structural Design, Scaling and Entropic Properties

Publicated to: JOURNAL OF NONLINEAR SCIENCE. 23 (2): 335-342 - 2013-04-01 23(2), DOI: 10.1007/s00332-012-9153-2

Authors:

Luque, B; Ballesteros, FJ; Núñez, AM; Robledo, A
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Affiliations

Univ Nacl Autonoma Mexico, Ctr Ciencias Complejidad, Mexico City 04510, DF, Mexico - Author
Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 04510, DF, Mexico - Author
Univ Politecn Madrid, Dept Matemat Aplicada & Estadist, ETSI Aeronut, Madrid, Spain - Author
Univ Valencia, Astron Observ, Valencia, Spain - Author
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Abstract

A novel class of graphs, here named quasiperiodic, are constructed via application of the Horizontal Visibility algorithm to the time series generated along the quasiperiodic route to chaos. We show how the hierarchy of mode-locked regions represented by the Farey tree is inherited by their associated graphs. We are able to establish, via Renormalization Group (RG) theory, the architecture of the quasiperiodic graphs produced by irrational winding numbers with pure periodic continued fraction. Finally, we demonstrate that the RG fixed-point degree distributions are recovered via optimization of a suitably defined graph entropy.
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Keywords

Circle mapComplex networksNetworksQuasiperiodicityTime-series

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF NONLINEAR SCIENCE 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, 2013, it was in position 17/139, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mechanics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.62. This 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: ESI Nov 13, 2025)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 1 (source consulted: FECYT Mar 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-24, the following number of citations:

  • WoS: 23
  • Scopus: 25
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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 2026-04-24:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 17.
  • 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: 17 (PlumX).

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: 2.
  • The number of mentions on the social network X (formerly Twitter): 2 (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:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/29354/

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: 559
  • Downloads: 306
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Mexico.

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 (LUQUE SERRANO, BARTOLOME) .

the author responsible for correspondence tasks has been LUQUE SERRANO, BARTOLOME.

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Awards linked to the item

B.L. and A.N. acknowledges support from FIS2009-13690 and S2009ESP-1691 (Spain); F. B. from AYA2006-14056, CSD2007-00060, and AYA2010-22111-C03-02 (Spain); A. R. from CONACyT & DGAPA (PAPIIT IN100311)-UNAM (Mexico).
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