https://doi.org/10.1140/epjs/s11734-025-01992-3
Regular Article
Synchronization induced by delayed higher-order interactions in a memristive Chialvo network
1
Center for Research, Easwari Engineering College, Chennai, India
2
Center for Cognitive Science, Trichy SRM Medical College Hospital and Research Center, Trichy, India
3
Nonlinear Dynamics Research Center (NDRC), Ajman University, 20550, Ajman, United Arab Emirates
4
Department of Mathematics, Faculty of Science, University of Jordan, 11942, Amman, Jordan
5
Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam
Received:
31
July
2025
Accepted:
23
September
2025
Published online:
18
October
2025
This study investigates the impact of delayed higher order interactions on synchronization in a globally coupled network of memristive Chialvo neurons. Departing from conventional models that focus solely on pairwise interactions, we employ a simplicial complex framework to incorporate second-order (triadic) couplings, thus capturing the essential features of genuine non-pairwise dynamics. Two distinct forms of delayed triadic interactions are analyzed: (i) electrical and (ii) field-based couplings. By providing a systematic, side-by-side comparison of delayed electrical vs. field triadic couplings in a memristive neuronal network, our results reveal that delayed higher order electrical interactions markedly enhance synchronization and give rise to a delay-induced resonance phenomenon, where the synchrony threshold exhibits a periodic reduction as delay increases. Depending on the strength of the pairwise coupling, these interactions lead the network either toward oscillatory synchronization or to a synchronized amplitude death state. In contrast, delayed higher order field couplings do not affect the global onset of synchronization, which remains solely determined by the pairwise coupling strength. Nonetheless, both coupling scenarios produce rich spatiotemporal structures in the form of synchronized clusters, exhibiting either time-lagged or nearly anti-phase dynamics. Together, these results identify delayed higher order interactions as a tunable mechanism for shaping and controlling collective dynamics, with direct implications for synchronization theory, memristive neuronal models, and neuromorphic architectures.
Copyright comment 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.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
