5 citations · 9 across the 6 of their papers we have counts for
6 papers
Macroscopic Multistability and Bifurcations in Theta-Neuron Networks with Distributed Delays
Lavinia Bîrdac, Alexandru Fikl, Eva Kaslik +1
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…
Fractal geometry predicts dynamic differences in structural and functional connectomes
Anca Radulescu, Eva Kaslik, Alexandru Fikl +3
Understanding the intricate architecture of brain networks and its connection to brain function is essential for deciphering the underlying principles of cognition and disease. Whi…
A Fast Direct Solver for Boundary Integral Equations Using Quadrature By Expansion
Alexandru Fikl, Andreas Klöckner
We construct and analyze a hierarchical direct solver for linear systems arising from the discretization of boundary integral equations using the Quadrature by Expansion (QBX) meth…
Simulating neuronal dynamics in fractional adaptive exponential integrate-and-fire models
Alexandru Fikl, Aman Jhinga, Eva Kaslik +1
We introduce an efficient discretization of a novel fractional-order adaptive exponential (FrAdEx) integrate-and-fire model, which is used to study the fractional-order dynamics of…
Complex dynamics in two-dimensional coupling of quadratic maps
Anca Radulescu, Eva Kaslik, Alexandru Fikl
This paper examines the structure and limitations of equi-M sets in two-dimensional Complex Quadratic Networks (CQNs). In particular, we aim to describe the relationship between th…
A Comprehensive Study of Adjoint-Based Optimization of Non-Linear Systems with Application to Burgers' Equation
Alexandru Fikl, Vincent Le Chenadec, Taraneh Sayadi +1
In the context of adjoint-based optimization, nonlinear conservation laws pose significant problems regarding the existence and uniqueness of both direct and adjoint solutions, as…