Alexandru 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 extension of L…
pdf urlAlexandru Fikl
Fourth International Nonlinear Dynamics Conference (NODYCON 2025)
We propose an adaptive numerical algorithm for general nonlinear fractional initial value problems discretized using the popular Product Integration (PI) family of methods. The construction is based on rigorous error models for the rectangular and th…
urlDiana Jianu
Fourth International Nonlinear Dynamics Conference (NODYCON 2025)
Epilepsy is one of the most common neurological diseases in the world while multiple sclerosis (MS) is a rarer condition that affects a relatively small number of people. The fact that both affect the biosignals one’s brain emits makes them suitable …
urlEva Kaslik
Fourth International Nonlinear Dynamics Conference (NODYCON 2025)
We investigate the dynamics of Wilson-Cowan networks with distributed delays, initially focusing on networks with two nodes before extending our analysis to networks with an arbitrary number of nodes. Our primary aim is to understand the combined eff…
urlMihaela Neamțu
Fourth International Nonlinear Dynamics Conference (NODYCON 2025)
The paper analyzes a mathematical model of systemic degeneration in schizophrenia, described by a nonlinear differential system, where the time delay is introduced. The positivity of neural components of both the equilibrium and trajectories is explo…
urlAnca Rădulescu, Sarah Muldoon, Johan Nakuci, Eva Kaslik, Alexandru Fikl
Fourth International Nonlinear Dynamics Conference (NODYCON 2025)
The central goal of this work is to understand how global behavior in dynamic networks emerges from the interplay between the network's connectivity profile and the node-wise dynamics. We explore this direction with a novel modeling approach, in whic…
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