I am currently a postdoctoral fellow at Western University and Fields Institute in Canada, where I work with Lyle Muller. Before that, I got my PhD in Physics at Universidade Federal do Paraná in Brazil. You can reach me at rbudzins@uwo.ca.
My research brings together nonlinear dynamics, network theory, computational neuroscience, and machine learning. I recently developed a novel approach that connects the spectrum of an oscillator network to the emergent dynamics. This allows for analytical insights into the emergence of specific spatiotemporal patterns, including synchronization, travelling waves, and chimera states. My current interests include transient dynamics, the emergence of waves in neural networks, dynamics-based computation, and mathematical approaches to machine learning.
I am happy to announce that I will be joining the Department of Neuroscience at University of Lethbridge (Alberta, Canada) this fall as an Assistant Professor.
The Department of Neuroscience at University of Lethbridge has a strong tradition in systems and computational neuroscience, and I am very excited to start my own research group.
My group will focus on complex systems and neural computational, bringing physics and mathematics together to explore how biological and artificial neural networks perform computations.
Connecting the network structure to the emergent dynamics: a new and unified perspective on synchronization phenomena
Computing with spatiotemporal dynamics: new mathematical approaches to computational neuroscience and machine learning
Video: summary of our analytical approach to network with multiple time delays