IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v580y2021ics0378437121004283.html
   My bibliography  Save this article

Stochastic resonance in coupled star-networks with power-law heterogeneity

Author

Listed:
  • Gao, Shilong
  • Gao, Nunan
  • Kan, Bixia
  • Wang, Huiqi

Abstract

In this paper, the power-law heterogeneity of the coupling coefficients is proved to have an important influence on the output signal-to-noise ratio (SNR) of the central oscillator in coupled star-network. The network is described by dimensionless Langevin equations subjected to periodic forces and additive noise in a symmetric bistable potential. Creatively, a random variable with power-law-like distribution is constructed to model the heterogeneity of coupling coefficients. It is revealed that the degree of heterogeneity of coupling coefficients can be measured by the entropy of random variables. In numerical simulation, the output SNR of the central oscillator is obtained to divide the two-dimensional parameter space into four regions of resonance, non-resonance, sub-resonance and super-resonance. In each region, the monotonicity of output SNR curves is discussed to determine the optimal SNR and the corresponding power exponent. At last, an explanation of physical mechanism is given based on the stochastic resonance (SR) theory.

Suggested Citation

  • Gao, Shilong & Gao, Nunan & Kan, Bixia & Wang, Huiqi, 2021. "Stochastic resonance in coupled star-networks with power-law heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    • Handle: RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004283
    DOI: 10.1016/j.physa.2021.126155
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121004283
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.126155?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sheng, Jinfang & Dai, Jinying & Wang, Bin & Duan, Guihua & Long, Jun & Zhang, Junkai & Guan, Kerong & Hu, Sheng & Chen, Long & Guan, Wanghao, 2020. "Identifying influential nodes in complex networks based on global and local structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    2. Hu, Hai-Bo & Wang, Xiao-Fan, 2008. "Unified index to quantifying heterogeneity of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3769-3780.
    3. Johnson, Caroline A. & Flage, Roger & Guikema, Seth D., 2019. "Characterising the robustness of coupled power-law networks," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    4. Wadop Ngouongo, Y.J. & Djuidjé Kenmoé, G. & Kofané, T.C., 2017. "Effect of coupling on stochastic resonance and stochastic antiresonance processes in a unidirectionally N-coupled systems in periodic sinusoidal potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 25-31.
    5. Warusawitharana, Missaka, 2018. "Time-varying volatility and the power law distribution of stock returns," Journal of Empirical Finance, Elsevier, vol. 49(C), pages 123-141.
    6. Xu, Xiao-Ting & Wang, Nianxin & Bian, Jun & Zhou, Bin, 2019. "Understanding the diversity on power-law-like degree distribution in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 576-581.
    7. Silva, R. & Silva, J.R.P. & Anselmo, D.H.A.L. & Alcaniz, J.S. & da Silva, W.J.C. & Costa, M.O., 2020. "An alternative description of power law correlations in DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    8. Shang, Pengjian & Lu, Yongbo & Kamae, Santi, 2008. "Detecting long-range correlations of traffic time series with multifractal detrended fluctuation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 82-90.
    9. Balthrop, Andrew & Quan, Siyu, 2019. "The power-law distribution of cumulative coal production," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 530(C).
    10. Julián I. Peña Rosselló & Roberto R. Deza & Horacio S. Wio, 2018. "Coupled Brownian motors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(6), pages 1-5, June.
    11. Thomas Hellmann & Noam Wasserman, 2017. "The First Deal: The Division of Founder Equity in New Ventures," Management Science, INFORMS, vol. 63(8), pages 2647-2666, August.
    12. Zanette, Damián H & Manrubia, Susanna C, 2001. "Vertical transmission of culture and the distribution of family names," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 1-8.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Du, Yuru & Meng, Lin & Lin, Lifeng & Wang, Huiqi, 2024. "Resonant behaviors of two coupled fluctuating-frequency oscillators with tempered Mittag-Leffler memory kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    2. Zhang, Ruoqi & Meng, Lin & Yu, Lei & Shi, Sihong & Wang, Huiqi, 2024. "Collective dynamics of fluctuating–damping coupled oscillators in network structures: Stability, synchronism, and resonant behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    3. Wang, Huiqi & Yuan, Wei & Yuan, George, 2022. "The mechanism for SMEs growth by applying stochastic dynamical approach," Finance Research Letters, Elsevier, vol. 48(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Berahmand, Kamal & Bouyer, Asgarali & Samadi, Negin, 2018. "A new centrality measure based on the negative and positive effects of clustering coefficient for identifying influential spreaders in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 41-54.
    2. Manimaran, P. & Narayana, A.C., 2018. "Multifractal detrended cross-correlation analysis on air pollutants of University of Hyderabad Campus, India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 228-235.
    3. Johnson, Caroline A. & Flage, Roger & Guikema, Seth D., 2021. "Feasibility study of PRA for critical infrastructure risk analysis," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    4. Li, Xing, 2021. "On the multifractal analysis of air quality index time series before and during COVID-19 partial lockdown: A case study of Shanghai, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    5. Chaharborj, Sarkhosh Seddighi & Nabi, Khondoker Nazmoon & Feng, Koo Lee & Chaharborj, Shahriar Seddighi & Phang, Pei See, 2022. "Controlling COVID-19 transmission with isolation of influential nodes," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    6. Wu, Tao & Xian, Xingping & Zhong, Linfeng & Xiong, Xi & Stanley, H. Eugene, 2018. "Power iteration ranking via hybrid diffusion for vital nodes identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 802-815.
    7. Guan, Sihai & Wan, Dongyu & Yang, Yanmiao & Biswal, Bharat, 2022. "Sources of multifractality of the brain rs-fMRI signal," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 15(1), pages 89-131, January.
    9. Zunino, Luciano & Figliola, Alejandra & Tabak, Benjamin M. & Pérez, Darío G. & Garavaglia, Mario & Rosso, Osvaldo A., 2009. "Multifractal structure in Latin-American market indices," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2331-2340.
    10. Maria Carmela Schisani & Luigi Balletta & Giancarlo Ragozini, 2021. "Crowding out the change: business networks and persisting economic elites in the South of Italy over Unification (1840–1880)," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 15(1), pages 89-131, January.
    11. Beare, Brendan K & Toda, Alexis Akira, 2020. "On the emergence of a power law in the distribution of COVID-19 cases," University of California at San Diego, Economics Working Paper Series qt9k5027d0, Department of Economics, UC San Diego.
    12. Hongli Zhou & Mingxuan Yang, 2023. "Towards Evaluating the Robustness of the Open-Source Product Community under Multiple Attack Strategies," Sustainability, MDPI, vol. 15(17), pages 1-19, August.
    13. Lin, Aijing & Ma, Hui & Shang, Pengjian, 2015. "The scaling properties of stock markets based on modified multiscale multifractal detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 525-537.
    14. Stødle, Kaia & Metcalfe, Caroline A. & Brunner, Logan G. & Saliani, Julian N. & Flage, Roger & Guikema, Seth D., 2021. "Dependent infrastructure system modeling: A case study of the St. Kitts power and water distribution systems," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    15. Dui, Hongyan & Meng, Xueyu & Xiao, Hui & Guo, Jianjun, 2020. "Analysis of the cascading failure for scale-free networks based on a multi-strategy evolutionary game," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    16. Michael Ewens & Ramana Nanda & Christopher T. Stanton, 2020. "Founder-CEO Compensation and Selection into Venture Capital-Backed Entrepreneurship," NBER Working Papers 27296, National Bureau of Economic Research, Inc.
    17. Qianqian Li & Tao Yang & Erbo Zhao & Xing’ang Xia & Zhangang Han, 2013. "The Impacts of Information-Sharing Mechanisms on Spatial Market Formation Based on Agent-Based Modeling," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-12, March.
    18. Salavati, Chiman & Abdollahpouri, Alireza & Manbari, Zhaleh, 2018. "BridgeRank: A novel fast centrality measure based on local structure of the network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 635-653.
    19. Fu, Yu-Hsiang & Huang, Chung-Yuan & Sun, Chuen-Tsai, 2015. "Using global diversity and local topology features to identify influential network spreaders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 344-355.
    20. Grobys, Klaus & Dufitinema, Josephine & Sapkota, Niranjan & Kolari, James W., 2022. "What’s the expected loss when Bitcoin is under cyberattack? A fractal process analysis," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 77(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004283. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.