Eva Kaslik, Maria Roxana Matei, Mihaela Neamțu, Anca Rădulescu
Chaos, Solutions & 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, Solutions & 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 preprintSergiu-Adrian Folta, Eva Kaslik
Fourth International Nonlinear Dynamics Conference (NODYCON 2025)
The study presented in this paper focuses on comparing Nonlinear Dimensionality Reduction (NLDR) tech- niques applied on an MRI dataset for Alzheimer's disease classification. Given the increasing prevalence of Alzheimer's disease and the…
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 rectan…
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 th…
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 …
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 trajector…
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 appro…
url