1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
Small changes at single nodes can shift global network dynamics
Kalel L. Rossi, Roberto C. Budzinski, Bruno R. R. Boaretto +2
Understanding the sensitivity of a system's behavior with respect to parameter changes is essential for many applications. This sensitivity may be desired - for instance in the bra…