https://doi.org/10.1140/epjs/s11734-025-02051-7
Regular Article
Dynamics and synchronization of fractional-order discrete sine memristor-coupled Rulkov neuron
1
School of Electronic Information, Central South University, 410083, Changsha, China
2
School of Physics, Central South University, 410083, Changsha, China
3
School of Mechanical and Electrical Engineering, Guizhou Normal University, 550025, Guiyang, China
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
21
July
2025
Accepted:
28
October
2025
Published online:
13
November
2025
This study develops a fractional-order discrete sine memristor (FDSM) model utilizing the Caputo fractional difference definition. The memristor is added to the fractional-order Rulkov neuron (FRN) as the external electromagnetic stimulus. The regulation mechanism of parameters on the behavior of FRN is investigated via phase diagram, Lyapunov exponent spectrum, bifurcation diagram, and spectral entropy (SE) complexity. The FDSM is regarded as a synaptic model to couple two FRNs. The phase synchronization of the system across various firing patterns is studied. Analysis reveals that coupling strength constitutes the primary determinant of synchronization, and the fractional order significantly affects the synchronization process. The results show that the introduction of FDSM enhances the dynamic diversity of neurons and provides a new research method for investigating neural encoding mechanisms and synchronization processes. It has promising applications in the fields of neuromorphic computing and brain–computer interface.
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.
