When nonlinear dynamical components interact through complex networks, interesting collective behaviors can emerge. An important example is synchronization, in which system-level coherence spontaneously develops from decentralized interactions. A large body of literature has focused on global synchronization among identical components, generating important insights such as how network structures influence synchronization stability.

In this talk, I will explore extensions of this paradigm along three different directions: 1) introducing disorder among components; 2) studying partial synchrony and chimera states; 3) going beyond local analysis and characterizing basins of attraction.

Introduction about the Speaker:

Dr. Yuanzhao Zhang graduated from the college of mathematics of Zhejiang University in 2014,  then studied at Northwestern University during 2015-2020 as a Master graduate student (applied mathematics) and as a PhD student (physics). Currently he is a research fellow at Santa Fe Institute. His research interests include: nonlinear dynamics, complex systems, synchronization, networks, chaos, biophysics, and fluid dynamics.