Using complex dynamics to compute brain networks

Anca Rădulescu, Sarah Muldoon, Johan Nakuci, Eva Kaslik, Alexandru Fikl

Fourth International Nonlinear Dynamics Conference (NODYCON 2025)

url

Abstract

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 which we equip each of the network nodes with discrete quadratic dynamics in the complex plane, and we study the emerging behavior of the resulting complex quadratic network (CQN) by means of the topology of its asymptotic fractal sets.

BibTeX

@inproceedings{RadulescuMuldoonNakuciKaslikFikl2025,
  title         = {Using complex dynamics to compute brain networks},
  author        = {
    Anca R\u{a}dulescu and Sarah Muldoon and Johan Nakuci and Eva Kaslik and
    Alexandru Fikl
  },
  year          = 2025,
  month         = jun,
  day           = 22,
  journal       = {Fourth International Nonlinear Dynamics Conference (NODYCON 2025)},
  url           = {https://nodycon.app.earendelplatform.com/},
  language      = {en},
  abstract      = {
    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 which we equip each of the network nodes
    with discrete quadratic dynamics in the complex plane, and we study the
    emerging behavior of the resulting complex quadratic network (CQN) by means
    of the topology of its asymptotic fractal sets.
  },
}