Ndjomatchoua Frank Thomas, Gninzanlong Carlos Lawrence, Mbong Djomo Thierry Landry Michel, Pebeu Kepnang Maxime Fabrice, Tchawoua Clément
Department of Physics, Faculty of Science, University of Yaoundé 1, P.O. Box 812, Ngoa Ekelle, Yaoundé, Cameroon.
Department of Civil Engineering, National Higher Polytechnic Institute, University of Bamenda, P.O. Box 39, Bambili, Bamenda, Cameroon.
Phys Rev E. 2023 Jun;107(6-1):064208. doi: 10.1103/PhysRevE.107.064208.
This paper studies a set of globally coupled bistable oscillators, all subjected to the same weak periodic signal and identical coupling. The effect of mean field density (MFD) on global dynamics is analyzed. The oscillators switch from intra- to interwell motion as MFD increases, clearly demonstrating MFD-enhanced signal amplification. A maximum amplification also occurs at a moderate level of MFD, indicating that the response exhibits a nonmonotonic sensitivity to MFD. The MFD-enhanced response depends mainly on the signal intensity but not on the signal frequency or the network topology. The analytical investigation provides a simplified model to study the mechanism underlying this resonancelike behavior. It is shown that by modifying the bistability nature of the potential energy, the mean field density can promote well-to-well oscillations and larger amplitude motions. Finally, the robustness of this phenomenon to various signal waveforms is examined. It can therefore be used alternatively to efficiently amplify weak signals in practical situations with large network sizes.
