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Analysis of institutional authors

Calatayud, JAuthorCortes, JcCorresponding Author

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October 31, 2024
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The damped pendulum random differential equation: A comprehensive stochastic analysis via the computation of the probability density function

Publicated to:Physica A-Statistical Mechanics And Its Applications. 512 261-279 - 2018-12-15 512(), DOI: 10.1016/j.physa.2018.08.024

Authors: Calatayud, J; Cortes, J -C; Jornet, M

Affiliations

Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Camino Vera S-N - Author

Abstract

This paper deals with the damped pendulum random differential equation: (X) over double dot(t)+2 omega(0)xi(X) over dot(t) + omega X-2(0)(t) = Y(t), t is an element of [0, T], with initial conditions X(0) = X-0 and (X) over dot(0) = X-1. The forcing term Y(t) is a stochastic process and X-0 and X-1 are random variables in a common underlying complete probability space (Omega, F, P). The term X(t) is a stochastic process that solves the random differential equation in both the sample path and in the L-P senses. To understand the probabilistic behavior of X(t), we need its joint finite-dimensional distributions. We establish mild conditions under which X(t) is an absolutely continuous random variable, for each t, and we find its probability density function f(X(t))(x). Thus, we obtain the first finite-dimensional distributions. In practice, we deal with two types of forcing term: Y(t) is a Gaussian process, which occurs with the damped pendulum stochastic differential equation of Ito type; and Y(t) can be approximated by a sequence {Y-N(t)}(N-1)(infinity) in L-2([0, T] x Omega), which occurs with Karhunen-Loeve expansions and some random power series. Finally, we provide numerical examples in which we choose specific random variables X-0 and X-1 and a specific stochastic process Y(t), and then, we find the probability density function of X(t). (C) 2018 Elsevier B.V. All rights reserved.

Keywords

Complete probabilitiesDamped pendulum random differential equationDifferential equationsFinite dimensionalGaussian processesLinear transport-equationNumerical analysisNumerical methodsPendulumsProbabilistic behaviorProbability density functionProbability distributionsRandom differential equationsRandom processesRandom variablesRvt techniqueStochastic analysisStochastic differential equationsStochastic methodsStochastic methods in physicsStochastic systems

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Physica A-Statistical Mechanics And Its Applications 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, 2018, it was in position 26/81, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Physics, Multidisciplinary. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Condensed Matter Physics.

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: 6.03, 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 Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-03, the following number of citations:

  • WoS: 15
  • Scopus: 14

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 2025-07-03:

  • 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: 6.
  • 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: 6 (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: 0.25.
  • 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:

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 (Calatayud Del Valle, Javier) and Last Author (Jornet, M).

the author responsible for correspondence tasks has been Cortés López, Juan Carlos.