Abstract
Bistable energy harvesters (BEHs) exhibit diverse dynamical characteristics under external stimulation. This study examines the impact of higher-order interactions on the network dynamics of BEHs and the influence of periodic and non-periodic stimulation. The collective behavior of the BEH network is analyzed using spatiotemporal plots, recurrence plots, and the master stability function. The synchronization manifold’s stability is analyzed with the help of the master stability function. Our results reveal that higher-order coupling strength enhances the collective behavior of the BEH network. In particular, the higher-order interactions minimize first-order coupling strength for synchronizing the energy harvesters, leading to maximum energy output, crucial for practical applications.
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References
S.P. Pellegrini, N. Tolou, M. Schenk, J.L. Herder, J. Intell. Mater. Syst. Struct. 24, 1303–1312 (2013)
M.F. Daqaq, R. Masana, A. Erturk, D. Dane Quinn, Appl. Mech. Rev. 66, 040801 (2014)
C. Wei, X. Jing, Renew. Sustain. Energy Rev. 74, 1–18 (2017)
Q. He, M.F. Daqaq, Am. Soc. Mech. Eng. 46391, V006T10A060 (2014)
S. Balakrishnan, V. Sundaresan, V. Krishnan, S.R. Aravindababu, AIP Conf. Proc. 2134, 080004 (2019)
S. Fang, X. Fu, W.H. Liao, J. Sound Vib. 459, 114852 (2019)
W. Wang, J. Cao, C.R. Bowen, G. Litak, Eur. Phys. J. B 91, 1–9 (2018)
J. Norenberg, R. Luo, A. Cunha Jr, S. da Silva, P.S. Varoto, In 26th International Congress of Mechanical Engineering (COBEM 2021)
W. Wang, J. Cao, C.R. Bowen, Y. Zhang, J. Lin, Nonlinear Dyn. 94, 1183–1194 (2018)
V.G. Lopes, J.V.L.L. Peterson, A. Cunha Jr., Proc. Ser. Braz. Soc. Comput. Appl. Math. 6, 14 (2018)
V.G. Lopes, J.V.L.L. Peterson, A. Cunha Jr., Topics in Nonlinear Mechanics and Physics (Springer, Singapore, 2019), pp.71–88
M. Yao, P. Liu, H. Wang, Complexity 2020, 25 (2020)
X. Zhang, W. Yang, M. Zuo, H. Tan, H. Fan, Q. Mao, X. Wan, Sensors 18, 4472 (2018)
A.J. Sneller, B.A. Owens, B.P. Mann, Experimental investigations of a bistable energy harvester, in Structural Dynamics and Renewable Energy, vol. 1, (Springer, New York, 2011), pp.211–217
Z. Hou, W. Zha, H. Wang, W.H. Liao, C.R. Bowen, J. Cao 259, 115441 (2022)
K. Chen, S. Fang, Q. Gao, D. Zou, J. Cao, W.H. Liao, Mech. Syst. Signal Process. 173, 109065 (2022)
K. Rajagopal, A. Ramesh, I. Moroz, P. Duraisamy, A. Karthikeyan, Chaos 31, 063111 (2021)
F. Battiston, G. Cencetti, I. Iacopini, V. Latora, M. Lucas, A. Patania, J.G. Young, G. Petri, Phys. Rep. 874, 1–92 (2020)
F. Parastesh, M. Mehrabbeik, K. Rajagopal, S. Jafari, M. Perc, Chaos Interdiscip. J. Nonlinear Sci. 32, 1 (2022)
M. Mehrabbeik, A. Ahmadi, F. Bakouie, A.H. Jafari, S. Jafari, D. Ghosh, Mathematics 11(13), 2811 (2023)
M. Ramasamy, S. Kumarasamy, A. Srinivasan, P. Subburam, K. Rajagopal, Chaos Interdiscip. J. Nonlinear Sci. 32, 123128 (2022)
U. Alvarez-Rodriguez, F. Battiston, G.F. de Arruda, Y. Moreno, M. Perc, V. Latora, Nat. Human Behav. 5, 586–595 (2021)
P.S. Skardal, L. Arola-Fernàndez, D. Taylor, A. Arenas, Phys. Rev. Res. 3, 043193 (2021)
F. Battiston, E. Amico, A. Barrat, G. Bianconi, G. Ferraz de Arruda, B. Franceschiello, G. Petri, Nat. Phys. 17, 1093–1098 (2021)
M. Ramasamy, S. Devarajan, S. Kumarasamy, K. Rajagopal, Appl. Math. Comput. 434, 127447 (2022)
F. Parastesh, S. Jafari, H. Azarnoush, Z. Shahriari, Z. Wang, S. Boccaletti, M. Perc, Phys. Rep. 898, 1–114 (2021)
S. Rakshit, Z. Faghani, F. Parastesh, S. Panahi, S. Jafari, D. Ghosh, M. Perc, Phys. Rev. E 100(1), 012315 (2019)
Q. Xu, W. Yiteng, C. Bei, L. Ze, W. Ning, Chaos Solitons Fractals 172, 113627 (2023)
W. Fan, Y. Wang, N. Wang, Y. Shan, Q. Xu, Eur. Phys. J. Plus 138(9), 834 (2023)
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This work is partially funded by the Center for Computational Modeling, Chennai Institute of Technology, India vide funding number CIT/CCM/2023/RD/005.
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Ramasamy, M., Kumarasamy, S., Andichamy, M. et al. Dynamical analysis of a network of bistable energy harvesters with higher-order interactions. Eur. Phys. J. Spec. Top. (2024). https://doi.org/10.1140/epjs/s11734-024-01140-3
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DOI: https://doi.org/10.1140/epjs/s11734-024-01140-3