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Fractional Driven Damped Oscillator

Classical Physics 2023-04-13 v1 Quantum Physics

Abstract

The resonances associated with a fractional damped oscillator which is driven by an oscillatory external force are studied. It is shown that such resonances can be manipulated by tuning up either the coefficient of the fractional damping or the order of the corresponding fractional derivatives.

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Cite

@article{arxiv.1706.08596,
  title  = {Fractional Driven Damped Oscillator},
  author = {Fernando Olivar-Romero and Oscar Rosas-Ortiz},
  journal= {arXiv preprint arXiv:1706.08596},
  year   = {2023}
}

Comments

5 pages, 1 Figure. A misprint appearing in Eq. (6) of the published version is amended. Based on the work presented by F. Olivar-Romero in the Quantum Fest 2016: International Conference on Quantum Phenomena, Quantum Control and Quantum Optics, 17-21 October 2016, Mexico City, Mexico

R2 v1 2026-06-22T20:30:15.801Z