Skip to main content
Log in

Dynamical analysis of a network of bistable energy harvesters with higher-order interactions

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

Data availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. S.P. Pellegrini, N. Tolou, M. Schenk, J.L. Herder, J. Intell. Mater. Syst. Struct. 24, 1303–1312 (2013)

    Article  Google Scholar 

  2. M.F. Daqaq, R. Masana, A. Erturk, D. Dane Quinn, Appl. Mech. Rev. 66, 040801 (2014)

    Article  ADS  Google Scholar 

  3. C. Wei, X. Jing, Renew. Sustain. Energy Rev. 74, 1–18 (2017)

    Article  MathSciNet  Google Scholar 

  4. Q. He, M.F. Daqaq, Am. Soc. Mech. Eng. 46391, V006T10A060 (2014)

    Google Scholar 

  5. S. Balakrishnan, V. Sundaresan, V. Krishnan, S.R. Aravindababu, AIP Conf. Proc. 2134, 080004 (2019)

    Article  Google Scholar 

  6. S. Fang, X. Fu, W.H. Liao, J. Sound Vib. 459, 114852 (2019)

    Article  Google Scholar 

  7. W. Wang, J. Cao, C.R. Bowen, G. Litak, Eur. Phys. J. B 91, 1–9 (2018)

    Article  Google Scholar 

  8. J. Norenberg, R. Luo, A. Cunha Jr, S. da Silva, P.S. Varoto, In 26th International Congress of Mechanical Engineering (COBEM 2021)

  9. W. Wang, J. Cao, C.R. Bowen, Y. Zhang, J. Lin, Nonlinear Dyn. 94, 1183–1194 (2018)

    Article  Google Scholar 

  10. V.G. Lopes, J.V.L.L. Peterson, A. Cunha Jr., Proc. Ser. Braz. Soc. Comput. Appl. Math. 6, 14 (2018)

    Google Scholar 

  11. V.G. Lopes, J.V.L.L. Peterson, A. Cunha Jr., Topics in Nonlinear Mechanics and Physics (Springer, Singapore, 2019), pp.71–88

    Book  Google Scholar 

  12. M. Yao, P. Liu, H. Wang, Complexity 2020, 25 (2020)

    Google Scholar 

  13. X. Zhang, W. Yang, M. Zuo, H. Tan, H. Fan, Q. Mao, X. Wan, Sensors 18, 4472 (2018)

    Article  ADS  Google Scholar 

  14. 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

    Chapter  Google Scholar 

  15. Z. Hou, W. Zha, H. Wang, W.H. Liao, C.R. Bowen, J. Cao 259, 115441 (2022)

    Google Scholar 

  16. K. Chen, S. Fang, Q. Gao, D. Zou, J. Cao, W.H. Liao, Mech. Syst. Signal Process. 173, 109065 (2022)

    Article  Google Scholar 

  17. K. Rajagopal, A. Ramesh, I. Moroz, P. Duraisamy, A. Karthikeyan, Chaos 31, 063111 (2021)

    Article  ADS  Google Scholar 

  18. F. Battiston, G. Cencetti, I. Iacopini, V. Latora, M. Lucas, A. Patania, J.G. Young, G. Petri, Phys. Rep. 874, 1–92 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  19. F. Parastesh, M. Mehrabbeik, K. Rajagopal, S. Jafari, M. Perc, Chaos Interdiscip. J. Nonlinear Sci. 32, 1 (2022)

    Article  Google Scholar 

  20. M. Mehrabbeik, A. Ahmadi, F. Bakouie, A.H. Jafari, S. Jafari, D. Ghosh, Mathematics 11(13), 2811 (2023)

    Article  Google Scholar 

  21. M. Ramasamy, S. Kumarasamy, A. Srinivasan, P. Subburam, K. Rajagopal, Chaos Interdiscip. J. Nonlinear Sci. 32, 123128 (2022)

    Article  Google Scholar 

  22. U. Alvarez-Rodriguez, F. Battiston, G.F. de Arruda, Y. Moreno, M. Perc, V. Latora, Nat. Human Behav. 5, 586–595 (2021)

    Article  Google Scholar 

  23. P.S. Skardal, L. Arola-Fernàndez, D. Taylor, A. Arenas, Phys. Rev. Res. 3, 043193 (2021)

    Article  Google Scholar 

  24. F. Battiston, E. Amico, A. Barrat, G. Bianconi, G. Ferraz de Arruda, B. Franceschiello, G. Petri, Nat. Phys. 17, 1093–1098 (2021)

    Article  Google Scholar 

  25. M. Ramasamy, S. Devarajan, S. Kumarasamy, K. Rajagopal, Appl. Math. Comput. 434, 127447 (2022)

    Google Scholar 

  26. F. Parastesh, S. Jafari, H. Azarnoush, Z. Shahriari, Z. Wang, S. Boccaletti, M. Perc, Phys. Rep. 898, 1–114 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  27. S. Rakshit, Z. Faghani, F. Parastesh, S. Panahi, S. Jafari, D. Ghosh, M. Perc, Phys. Rev. E 100(1), 012315 (2019)

    Article  ADS  Google Scholar 

  28. Q. Xu, W. Yiteng, C. Bei, L. Ze, W. Ning, Chaos Solitons Fractals 172, 113627 (2023)

    Article  Google Scholar 

  29. W. Fan, Y. Wang, N. Wang, Y. Shan, Q. Xu, Eur. Phys. J. Plus 138(9), 834 (2023)

    Article  Google Scholar 

Download references

Acknowledgements

This work is partially funded by the Center for Computational Modeling, Chennai Institute of Technology, India vide funding number CIT/CCM/2023/RD/005.

Author information

Authors and Affiliations

Authors

Contributions

All the authors are equally contributed.

Corresponding author

Correspondence to Karthikeyan Rajagopal.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Ethical approval

This research did not involve human or animal subjects.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjs/s11734-024-01140-3

Navigation