Abstract Effects of system size, coupling strength, and noise on vibrational resonance (VR) of globally coupled bistable systems are investigated. The power spectral amplifications obtained by the three methods all show that the VR exists over a wide range of parameter values. The increase in system size induces and enhances the VR, while the increase in noise intensity suppresses and eventually eliminates the VR. Both the stochastic resonance and the system size resonance can coexist with the VR in different parameter regions. This research has potential applications to the weak signal detection process in stochastic multi-body systems.
Fund: Project supported by the Xing Dian Talents Support Project of Yunnan Province (Grant No. YNWR-QNBJ-2018-0040), the Youth Project of Applied Basic Research of Yunnan Science (Grant No. 202201AU070062), and the Yunnan University's Research Innovation Fund for Graduate Students (Grant No. KC-22221171).
Corresponding Authors:
Luchun Du
E-mail: lcdu@ynu.edu.cn
Cite this article:
Jiangling Liu(刘江令), Chaorun Li(李朝润), Hailing Gao(高海玲), and Luchun Du(杜鲁春) Vibrational resonance in globally coupled bistable systems under the noise background 2023 Chin. Phys. B 32 070502
[1] Landa P S and McClintock P V E 2000 J. Phys. A: Math. Gen. 33 L433 [2] Baltanás J P, López L, Blechman I I, Landa P S, Zaikin A, Kurths J and Sanjuán M A F 2003 Phys. Rev. E67 066119 [3] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453 [4] Gammaitoni L, Hänggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys.70 223 [5] Lin S C, Tian T, Yin P R, Huang P, Zhang L and Du J F 2021 Chin. Phys. Lett.38 020502 [6] He Z W, Yao C G, Shuai J W and Nakano T 2020 Chin. Phys. B29 128702 [7] Jung P and Hänggi P 1991 Phys. Rev. A44 8032 [8] Li Q Q, Xu X M, Yin L Z, Ding Y P, Ding J F and Sun K H 2018 Chin. Phys. B27 034203 [9] He L F, Liu Q L and Zhang T Q 2022 Chin. Phys. B31 070503 [10] Jeyakumari S, Chinnathambi V, Rajasekar S and Sanjuán M A F 2009 Phys. Rev. E80 046608 [11] Fang C J and Liu X B 2012 Chin. Phys. Lett.29 050504 [12] Yang J H 2012 Chin. Phys. Lett.29 104501 [13] Gandhimathi V M, Rajasekar S and Kurths J 2006 Phys. Lett. A360 279 [14] Rajasekar S, Abirami K and Sanjuán M A F 2011 Chaos21 033106 [15] Jeyakumari S, Chinnathambi V, Rajasekar S and Sanjuán M A F 2011 Int. J. Bifurcat. Chaos21 275 [16] Vincent U E, Roy-Layinde T O, Popoola O O, Adesina P O and McClintock P V E 2018 Phys. Rev. E98 062203 [17] Abirami K, Rajasekar S and Sanjuán M A F 2013 Pramana81 127 [18] Zaikin A A, López L, Baltanás J P, Kurths J and Sanjuán M A F 2002 Phys. Rev. E66 011106 [19] Roy S, Das D and Banerjee D 2021 Int. J. Non-Linear Mech.135 103771 [20] Kolebaje O, Popoola O O and Vincent U E 2021 Physica D419 132853 [21] Wang G W, Yu D, Ding Q M, Li T Y and Jia Y 2021 Chaos Solitons Fractals150 111210 [22] Du L C, Han R S, Jiang J H and Guo W 2020 Phys. Rev. E102 012149 [23] Jiang J H, Li K Y, Guo W and Du L C 2021 Chaos Solitons Fractals152 111400 [24] Olusola O I, Shomotun O P, Vincent U E and McClintock P V E 2020 Phys. Rev. E101 052216 [25] Sarkar P, Paul S and Ray D S 2021 Phys. Rev. E104 014202 [26] Liu J L, Jiang J H, Ge M M, Li Y Y and Du L C 2022 J. Eng.2022 857 [27] Zhai Z M, Kong L W and Lai Y C 2022 arXiv:2211.09955 [cs.LG] [28] Li W J, Ren Y H and Duan F B 2022 Chin. Phys. B31 080503 [29] Jafari S, Bao B, Volos C, Nazarimehr F ang Bao H 2022 Eur. Phys. J. Spec. Top.231 3957 [30] Liang X M, Hua L, Zhang X Y and Zhao L 2022 Phys. Rev. E106 064306 [31] Olivera-Atencio M L, Morillo M and Casado-Pascual J 2021 Phys. Rev. E104 064204 [32] Zhang Y, Hu G and Gammaitoni L 1998 Phys. Rev. E58 2952 [33] Wu D, Zhu S Q, Luo X Q and Wu L 2011 Phys. Rev. E84 021102 [34] Yao Y G 2021 Chin. Phys. B30 060503 [35] Deng B, Wang J and Wei X L 2009 Chaos19 013117 [36] Yao C G and Zhan M 2010 Phys. Rev. E81 061129 [37] Liu C and Liang X M 2019 Phys. Rev. E100 032206 [38] Pikovsky A, Zaikin A and de la Casa M A 2002 Phys. Rev. Lett.88 050601 [39] Desai R C and Zwanzig R 1978 J. Stat. Phys.19 1 [40] Kometani K and Shimizu H 1975 J. Stat. Phys.13 473 [41] Burada P S, Schmid G, Reguera D, Vainstein M H, Rubi J M and Hänggi P 2008 Phys. Rev. Lett.101 130602 [42] Chizhevsky V N and Giacomelli G 2004 Phys. Rev. E70 062101 [43] Cubero D 2008 Phys. Rev. E77 021112
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
