Lavinia Bîrdac, Alexandru Fikl, Eva Kaslik, Raluca Mureşan
arXiv
We study an all-to-all coupled network of identical theta neurons with synaptic interaction mediated by a distributed time delay. Using the Watanabe-Strogatz reduction and passing to the thermodynamic limit under the assumption of uniform…
doi:10.48550/arXiv.2607.17645 preprintAnca Rădulescu, Eva Kaslik, Alexandru Fikl, Michael Anderson, Alex Norwood
Chaos: An Interdisciplinary Journal of Nonlinear Science
Neuronal synchronization can emerge through various coupling mechanisms, but its expression depends strongly on how these connections are organized. Gap junctions, in particular, can reshape inhibitory synchrony, sometimes reinforcing coh…
doi:10.1063/5.0310120 preprintKrishnendu Bera, Chinmay Chakraborty, Eva Kaslik, Urszula Foryś, Sanjeev K. Sharma, Argha Mondal
Neural Networks
This study investigates neuronal electrical activities in a fractional-order generalized Hindmarsh-Rose (HR) system and explores an extended model incorporating an induced electric field. Stability and bifurcation analyses examine the imp…
doi:10.1016/j.neunet.2026.108548Eva Kaslik, Maria Roxana Matei, Mihaela Neamțu, Anca Rădulescu
Chaos, Solitons & Fractals
We revisit a nonlinear mathematical model of prefrontal–limbic interactions, aimed to capture both healthy and pathological activation patterns in emotion regulatory circuits. The model's parameter space encapsulates the strengths of the …
doi:10.1016/j.chaos.2025.117606Anca Rădulescu, Eva Kaslik, Alexandru Fikl
Chaos, Solitons & Fractals
In our previous work, we initiated the study of dynamics in networks with identical nodes that evolve under complex quadratic iterations. For these Complex Quadratic Networks, (or CQNs for short), we focused on defining the equi-M set as …
doi:10.1016/j.chaos.2025.117489 preprintAnca Rădulescu, Eva Kaslik, Alexandru Fikl, Johan Nakuci, Sarah Muldoon, Michael Anderson
Chaos: An Interdisciplinary Journal of Nonlinear Science
Understanding the intricate architecture of brain networks and its connection to brain function is essential for deciphering the underlying principles of cognition and disease. While traditional graph-theoretical measures have been widely…
doi:10.1063/5.0283805 preprintRoberto Garrappa, Katarzyna Górska, Eva Kaslik, Kateryna Marynets
Fractional Calculus and Applied Analysis (FCAA)
This work allows proving that the action of fractional derivatives and fractional integrals on periodic functions does not preserve the periodicity of any period. This result is proved not only for one type of fractional operator but also…
doi:10.1007/s13540-025-00427-zAlexandru Fikl, Aman Jhinga, Eva Kaslik, Argha Mondal
Fractional Calculus and Applied Analysis (FCAA)
We introduce an efficient discretisation of a novel fractional-order adaptive exponential (FrAdEx) integrate-and-fire model, which is used to study the fractional-order dynamics of neuronal activities. The discretisation is based on an ex…
doi:10.1007/s13540-025-00392-7 preprint