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Noise-induced enhancement of stability and resonance in a tri-stable system with time-delayed feedback

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  • Jin, Yanfei
  • Wang, Haotian
  • Xu, Pengfei

Abstract

In this paper, the mean first-passage times and the stochastic resonance in an asymmetric tri-stable system are studied by considering time-delayed feedback, which is driven by a periodic signal and correlated noises. Both the theoretical expressions for small time delay and the numerical results for large time delay are provided to explore the noise-induced enhancement in stability and resonance. The obtained results suggest that the correlation between the additive and multiplicative noises plays a constructive role on system dynamical behaviors, such as the appearing of noise enhanced stability and stochastic resonance, which can be optimized by choosing proper time-delayed feedback gain for fixed time delay. When the feedback gain is fixed, the time delay can greatly accelerate the crossing between left well and middle well, while cannot effectively enhance the crossing velocity between right well and middle well. Moreover, for small time delay, theoretical analysis predicts that stochastic resonance effect and control performance can be substantially improved by choosing appropriate combination of time delay and feedback gain. For large time delay, the phenomenon of stochastic resonance is enhanced by selecting small feedback gain and large asymmetry.

Suggested Citation

  • Jin, Yanfei & Wang, Haotian & Xu, Pengfei, 2023. "Noise-induced enhancement of stability and resonance in a tri-stable system with time-delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077922012784
    DOI: 10.1016/j.chaos.2022.113099
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    1. D. Valenti & L. Schimansky-Geier & X. Sailer & B. Spagnolo, 2006. "Moment equations for a spatially extended system of two competing species," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 199-203, March.
    2. Pisarchik, A.N. & Jaimes-Reátegui, R. & Franco, J.J. Barba, 2022. "Attractor memory in a nonautonomous multistable system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Goswami, Gurupada & Majee, Pradip & Kumar Ghosh, Pulak & Bag, Bidhan Chandra, 2007. "Colored multiplicative and additive non-Gaussian noise-driven dynamical system: Mean first passage time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 549-558.
    4. G. Bonanno & D. Valenti & B. Spagnolo, 2005. "Role of Noise in a Market Model with Stochastic Volatility," Papers cond-mat/0510154, arXiv.org, revised Oct 2006.
    5. D. Valenti & G. Augello & B. Spagnolo, 2008. "Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 443-451, October.
    6. A. Fiasconaro & D. Valenti & B. Spagnolo, 2006. "Asymptotic regime in N random interacting species," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 50(1), pages 189-194, March.
    7. S. Spezia & L. Curcio & A. Fiasconaro & N. Pizzolato & D. Valenti & B. Spagnolo & P. Bue & E. Peri & S. Colazza, 2008. "Evidence of stochastic resonance in the mating behavior of Nezara viridula (L.)," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 453-458, October.
    8. G. Augello & D. Valenti & A. L. Pankratov & B. Spagnolo, 2009. "Lifetime of the superconductive state in short and long Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 145-151, July.
    9. Mikhaylov, A.N. & Guseinov, D.V. & Belov, A.I. & Korolev, D.S. & Shishmakova, V.A. & Koryazhkina, M.N. & Filatov, D.O. & Gorshkov, O.N. & Maldonado, D. & Alonso, F.J. & Roldán, J.B. & Krichigin, A.V. , 2021. "Stochastic resonance in a metal-oxide memristive device," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    10. Surazhevsky, I.A. & Demin, V.A. & Ilyasov, A.I. & Emelyanov, A.V. & Nikiruy, K.E. & Rylkov, V.V. & Shchanikov, S.A. & Bordanov, I.A. & Gerasimova, S.A. & Guseinov, D.V. & Malekhonova, N.V. & Pavlov, D, 2021. "Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    11. Xu, Pengfei & Jin, Yanfei, 2020. "Coherence and stochastic resonance in a second-order asymmetric tri-stable system with memory effects," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    12. Jin, Yanfei & Wang, Heqiang, 2020. "Noise-induced dynamics in a Josephson junction driven by trichotomous noises," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    13. G. Bonanno & D. Valenti & B. Spagnolo, 2006. "Role of noise in a market model with stochastic volatility," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(3), pages 405-409, October.
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