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Fano-like resonances in a Stuart-Landau oscillator with state-dependent delayed feedback

D. A. Krylov1, A. V. Kovalev1,*, A. V. Babichev2, and E. A. Viktorov1

  • *Contact author: avkovalev@itmo.ru
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Phys. Rev. E 114, 054208 – Published 6 November, 2026

DOI: https://doi.org/10.1103/5t88-r9d9

Abstract

We examine the spectral properties of a Stuart-Landau oscillator with state-dependent time-delayed feedback in the presence of amplitude and phase noise. We demonstrate that an asymmetric Fano resonance profile appears in the spectrum under amplitude noise, due to amplitude-phase coupling caused by the state-dependent delay. Conversely, this asymmetry is absent in the presence of phase noise.

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Phys. Rev. E 114, 054208– Published 6 November, 2026
  • Received 21 May 2026
  • Accepted 20 October 2026
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