2 papers
math.DS2024
Collective rhythm design in coupled mixed-feedback systems through dominance and bifurcations
Omar Juarez-Alvarez, Alessio Franci
The theory of mixed-feedback systems provides an effective framework for the design of robust and tunable oscillations in nonlinear systems characterized by interleaved fast positi…
nlin.CD2021
In-phase oscillations from the cooperation of cellular and network positive feedback in synaptically-coupled oscillators
Omar Juarez-Alvarez, Alessio Franci
We study the emergent dynamics of a network of synaptically coupled slow-fast oscillators. Synaptic coupling provides a network-level positive feedback mechanism that cooperates wi…