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Amplitude death induced by mixed attractive and repulsive coupling in the relay system

Author

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  • Nannan Zhao

    (Northwestern Polytechnical University)

  • Zhongkui Sun

    (Northwestern Polytechnical University)

  • Wei Xu

    (Northwestern Polytechnical University)

Abstract

The amplitude death (AD) phenomenon is found in the relay system in the presence of the mixed couplings composed of attractive coupling and repulsive coupling. The generation mechanism of AD is revealed and shows that the middle oscillator achieving AD is a prerequisite to further suppress oscillation of the outermost oscillators for the paradigmatic Stuart-Landau and Rössler models. Moreover, regarding the Stuart-Landau relay system as a small motif of star network, we also observe that the mixed couplings can facilitate AD state of the whole network system. Particularly, the threshold of coupling strength is invariable with the change of network size. Our findings may shed a new insight to explore the effects of hybrid coupling on complex systems, also provide a new strategy to control dynamic behaviors in engineering science and neuroscience fields.

Suggested Citation

  • Nannan Zhao & Zhongkui Sun & Wei Xu, 2018. "Amplitude death induced by mixed attractive and repulsive coupling in the relay system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(1), pages 1-8, January.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:1:d:10.1140_epjb_e2017-80463-2
    DOI: 10.1140/epjb/e2017-80463-2
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    Cited by:

    1. Yonkeu, R. Mbakob, 2023. "Stochastic bifurcations induced by Lévy noise in a fractional trirhythmic van der Pol system," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Sun, Zhongkui & Liu, Shutong & Zhao, Nannan, 2021. "Explosive and semi-explosive death in coupled oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Sharma, Amit, 2021. "Explosive synchronization through attractive-repulsive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    4. Zhao, Nannan & Zhang, Xuexue, 2023. "Impact of higher-order interactions on amplitude death of coupled oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    5. Korneev, I.A. & Semenov, V.V. & Slepnev, A.V. & Vadivasova, T.E., 2021. "Complete synchronization of chaos in systems with nonlinear inertial coupling," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    6. Zhao, Nannan & Sun, Zhongkui & Song, Xueli & Xiao, Yuzhu, 2022. "Amplitude death in multiplex networks with competing attractive and repulsive interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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    Keywords

    Statistical and Nonlinear Physics;

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