27 citations · 65 across the 18 of their papers we have counts for
5 papers · 1 filter
Image segmentation with traveling waves in an exactly solvable recurrent neural network
Luisa H. B. Liboni, Roberto C. Budzinski, Alexandra N. Busch +4
We study image segmentation using spatiotemporal dynamics in a recurrent neural network where the state of each unit is given by a complex number. We show that this network generat…
An exact mathematical description of computation with transient spatiotemporal dynamics in a complex-valued neural network
Roberto C. Budzinski, Alexandra N. Busch, Samuel Mestern +7
We study a complex-valued neural network (cv-NN) with linear, time-delayed interactions. We report the cv-NN displays sophisticated spatiotemporal dynamics, including partially syn…
Theory of transient chimeras in finite Sakaguchi-Kuramoto networks
Roberto C. Budzinski, James W. C. Graham, Ján Mináč +1
Chimera states are a phenomenon in which order and disorder can co-exist within a network that is fully homogeneous. Precisely how transient chimeras emerge in finite networks of K…
Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators
Priya B. Jain, Tung T. Nguyen, Ján Mináč +2
Networks with different levels of interactions, including multilayer and multiplex networks, can display a rich diversity of dynamical behaviors and can be used to model and study…
Dynamical properties and mechanisms of metastability: a perspective in neuroscience
Kalel L. Rossi, Roberto C. Budzinski, Everton S. Medeiros +3
Metastability, characterized by a variability of regimes in time, is a ubiquitous type of neural dynamics. It has been formulated in many different ways in the neuroscience literat…