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Grant support

This work has been supported by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF, EU) under Project No. PID2019-105554GB-I00 (MCIN/AEI/10.13039/501100011033) .

Analysis of institutional authors

Coccolo, MattiaAuthorSeoane, Jesus MAuthorSanjuan, Miguel A FCorresponding Author

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May 6, 2024
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Fractional damping induces resonant behavior in the Duffing oscillator

Publicated to:Communications In Nonlinear Science And Numerical Simulation. 133 107965- - 2024-03-12 133(), DOI: 10.1016/j.cnsns.2024.107965

Authors: Coccolo, Mattia; Seoane, Jesus M; Sanjuan, Miguel A F

Affiliations

Univ Rey Juan Carlos, Dept Fis, Nonlinear Dynam Chaos & Complex Syst Grp, Tulipan S-N, Mostoles 28933, Madrid, Spain - Author

Abstract

The interaction between the fractional order parameter and the damping parameter can play a relevant role for introducing different dynamical behaviors in a physical system. Here, we study the Duffing oscillator with a fractional damping term. Our findings show that for certain values of the fractional order parameter, the damping parameter, and the forcing amplitude high oscillations amplitude can be induced. This phenomenon is due to the appearance of a resonance in the Duffing oscillator only when the damping term is fractional.

Keywords

ChaosDampingDamping parametersDamping termsDuffing's oscillatorDynamical behaviorsFractional derivativesFractional orderNonlinear oscillationNonlinear oscillationsOrder parameterPhysical systemsResonanceResonant behaviorSystemsVibration

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Communications In Nonlinear Science And Numerical Simulation 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, 2024 there are still no calculated indicators, but in 2023, it was in position 39/170, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mechanics.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-07-17:

  • WoS: 9
  • Scopus: 10

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 2025-07-17:

  • 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: 2.
  • 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).

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: 2.1.
  • The number of mentions on the social network X (formerly Twitter): 4 (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.

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 (Coccolo Bosio, Mattia Tommaso) and Last Author (Fernández Sanjuán, Miguel Ángel).

the author responsible for correspondence tasks has been Fernández Sanjuán, Miguel Ángel.