000170450 001__ 170450 000170450 005__ 20260420103355.0 000170450 0247_ $$2doi$$a10.1063/5.0219780 000170450 0248_ $$2sideral$$a146297 000170450 037__ $$aART-2025-146297 000170450 041__ $$aeng 000170450 100__ $$0(orcid)0000-0002-4802-2511$$aMayora-Cebollero, Ana$$uUniversidad de Zaragoza 000170450 245__ $$aDynamics of coupled neural populations: The role of synaptic dynamics 000170450 260__ $$c2025 000170450 5060_ $$aAccess copy available to the general public$$fUnrestricted 000170450 5203_ $$aIn this paper, we study the dynamics of two recent mean-field models representing the behavior of heterogeneous all-to-all coupled quadratic integrate-and-fire neural networks. The main difference between both models is that one considers the influence of the synaptic dynamics mechanism on the macroscopic dynamics, while the other does not. The latter model can be considered the limiting case of the former. In the literature, it has been shown, without a detailed explanation, that significant changes in the dynamics occur as synaptic dynamics increases (in the studied parametric region when considering the coupling of one excitatory and one inhibitory population): chaotic behavior disappears (or it is less frequent) and bursting dynamics emerge. The existence of synaptic dynamics, which allows a delay in synaptic transmission, seems to reduce the emergence of chaotic dynamics by increasing the synaptic time constant and maintains a phase-locked state in the form of bursting dynamics in the mean-field model. In this article, we examine in depth the different dynamical behaviors that can be found in both mean-field models (spiking, bursting, and Rössler-like chaotic behaviors) and study in detail the bifurcations underlying their appearance and disappearance. Moreover, we relate the disappearance of various behaviors with the recently introduced geometric bifurcations. Thus, our analyses provide a global view of the dynamical landscape, providing insights into the role of synaptic dynamics in coupled neural populations. 000170450 540__ $$9info:eu-repo/semantics/embargoedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000170450 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000170450 700__ $$0(orcid)0000-0002-8089-343X$$aBarrio, Roberto$$uUniversidad de Zaragoza 000170450 700__ $$aLi, Lei 000170450 700__ $$0(orcid)0000-0002-3431-0926$$aMayora-Cebollero, Carmen$$uUniversidad de Zaragoza 000170450 700__ $$aPérez, Lucía 000170450 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000170450 773__ $$g35, 6 (2025), 063140$$pChaos$$tCHAOS$$x1054-1500 000170450 8564_ $$s12742080$$uhttps://zaguan.unizar.es/record/170450/files/texto_completo.pdf$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2026-06-25 000170450 8564_ $$s3285666$$uhttps://zaguan.unizar.es/record/170450/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2026-06-25 000170450 909CO $$ooai:zaguan.unizar.es:170450$$particulos$$pdriver 000170450 951__ $$a2026-04-18-10:49:48 000170450 980__ $$aARTICLE