About this Event
139 University Place, Pittsburgh, 15260
Doctoral candidate Yujie Ding is defending her dissertation titled "Wave Patterns in Networks of Coupled Oscillators".
Recent advances in brain recording techniques have demonstrated that neuronal oscillations are not synchronized, but rather, organized into spatio-temporal patterns such as traveling and rotating waves. This dissertation is an investigation of wave patterns in networks of identically coupled phase oscillators. In the work that will be presented, we study a system of non-locally coupled phase equations and discuss the existence and stability of rotating waves on an annulus. We show that as the inner radius shrinks, rigid rotating waves lose existence through a saddle-node bifurcation and this results in the birth of so-called chimeras. We also study the locally coupled system on a N × N lattice grid and find that when the coupling includes non-odd components, twisted-armed rotating waves emerge. We show that as N → ∞ the dynamics can be understood by a Burger's type equation on an annulus with inner radius proportional to 1/N.
Committee Chair and Advisor: Dr. Bard Ermentrout
Please let us know if you require an accommodation in order to participate in this event. Accommodations may include live captioning, ASL interpreters, and/or captioned media and accessible documents from recorded events. At least 5 days in advance is recommended.