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Seminario-Huertas, Paulo NCorresponding Author

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June 21, 2024
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Global attractors for a system of elasticity with small delays

Publicated to: Mathematical Methods In The Applied Sciences. 44 (8): 6911-6922 - 2021-01-25 44(8), DOI: 10.1002/mma.7232

Authors:

Araujo, Rawlilson O; Bocanegra-Rodriguez, Lito E; Calsavara, Bianca M R; Seminario-Huertas, Paulo N; Sotelo-Pejerrey, Alfredo
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Affiliations

Natl Univ Callao, Acad Dept Math, Bellavista 07011, Callao, Peru - Author
Sao Paulo State Univ, Dept Math, IGCE, Rio Claro, SP, Brazil - Author
Univ Brasilia, Dept Math, Brasilia, DF, Brazil - Author
Univ Estadual Campinas, IMECC, Campinas, SP, Brazil - Author
Univ Sao Paulo, ICMC, Sao Carlos, SP, Brazil - Author
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Abstract

This paper is concerned with dynamics of elasticity systems featuring a nonlinear foundation of critical growth and delay effects. The existence of global attractors for such systems has been studied recently. Our main contribution establishes the upper-semicontinuity of attractors with respect to a small parameter multiplying the delay term. Our results are new even for the analogous scalar wave equation.
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Keywords

Critical growthDelayDelay effectsDynamical systemsElasticityGlobal attractorLamé systemScalar wave equationUpper semi-continuityUpper-semicontinuitUpper-semicontinuity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal MATHEMATICAL METHODS IN THE APPLIED SCIENCES 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, 2021, it was in position 29/267, 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 World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.95. 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)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-12-20, the following number of citations:

  • WoS: 12
  • Scopus: 11
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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 2025-12-20:

  • 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: 2 (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.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Brazil; Peru.

the author responsible for correspondence tasks has been SEMINARIO HUERTAS, PAULO NICANOR.

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Awards linked to the item

FAPESP, Grant/Award Number: 2019/02512-5; INCTMat-Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior, Grant/Award Number: 88887.507829/2020-00; FEDER-Junta de Andalucia Project, Grant/Award Number: P18-FR-4509
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