11 citations · 21 across the 9 of their papers we have counts for
9 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…
Adjoint-based Control of Three Dimensional Stokes Droplets
Alexandru Fikl, Daniel J. Bodony
We develop a continuous adjoint formulation and implementation for controlling the deformation of clean, neutrally buoyant droplets in Stokes flow through farfield velocity boundar…
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…
Experimenting with the p4est library for AMR simulations of two-phase flows
Florence Drui, Alexandru Fikl, Pierre Kestener +4
Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high leve…
Parallel simulations for Fractional-Order Systems
A. Baban, C. Bonchiş, A. Fikl +1
In this paper, we explore how numerical calculations can be accelerated by implementing several numerical methods of fractional-order systems using parallel computing techniques. W…