Waltham, MA, USA
Title: Bifurcations, homeostasis and dynamics: the role of network structure and beyond
Abstract: Networks of coupled dynamical systems arise in many branches of science. In many examples, the network structure often plays a crucial role in shaping the dynamics and determining bifurcations that can occur generically. At the same time, the actual dynamics of a network are also influenced by other nework properties and modeling assumptions. In this talk, I will present our analysis and classification of bifurcations and homeostasis – an important biological phenomenon whereby the output of a system (say, body temperature) is approximately constant despite changes of an input (say, ambient temperature) – in fully inhomogeneous networks. If time permits, I will also discuss how the interplay between oscillator timescales and coupling strength give rise to interesting complex dynamics, such as mixed bursting and mixed-mode oscillations, in a system of coupled neural oscillators.
Bio: Assistant Professor in Mathematics at Brandeis University, Waltham, MA, USA. Ph.D. in Mathematics from the University of Pittsburgh in US in 2016, followed by a postdoctoral fellowship at Mathematical Biosciences Institute at The Ohio State University from 2016-2019.
Research interests include dynamical systems, mathematical and computational neuroscience, multiple timescale dynamics, network dynamics and homeostasis, with applications to neural control of breathing, motor control, neuromodulation, speech perception, and homeostasis in biochemical networks.
Homepage: https://sites.google.com/view/yangyangwang/home