Gonzalo Marcelo Ramirez Avila

The project will carry out an in-depth study of synchronization in the framework of dynamical systems defined on Complex Networks, including their generalizations, namely hypergraphs and simplicial complexes. Moreover, the acquired knowledge will be used to obtain a better understanding of natural and artificial Complex Systems and to develop potential applications under an interdisciplinary perspective. For all these studies, we will use continuous and discrete systems with potential applications in biology (circadian rhythms, neurons) and health sciences (radiotherapy). The study of the so-called swarmalators (mobile oscillators) and the concept of response to synchronization taken from the firefly modeling are significant challenges to a better understanding of synchronization and their application in robotics. Finally, thanks to the design of electronic circuits mimicking our models, we will validate several of our theoretical and simulating results and also extend our predictions.