Applied Mathematics Colloquia by Adilson Motter: Converse Symmetry Breaking in Complex Systems
Speaker: Adilson Motter, Charles E. and Emma H. Morrison Professor, Northwestern University
Title: Converse Symmetry Breaking in Complex Systems
Abstract:
Symmetry breaking, where a system's symmetry is not inherited by its stable states, drives numerous effects in complex biological and physical systems. This talk will discuss converse symmetry breaking, a striking emergent phenomenon where stable states can be symmetric only when the system itself is not. Through theoretical predictions and experimental demonstrations, I will illustrate its relevance and applications to diverse network systems. Additionally, I will discuss how this phenomenon challenges conventional assumptions, revealing that behavioral homogeneity often necessitates underlying system heterogeneities. Ultimately, I hope to convey that our study of network systems not only builds on nonlinear dynamics and statistical physics but also contributes to foundational discoveries in these fields.
Applied Mathematics Colloquium