时间：2017年6月22日15：00—16：00

报告人：Yuan Yuan教授(Memorial university of Newfoundland)

报告题目：Stability and Bifurcation in a Ring of Identical Cells with Delayed Coupling

地点：启明学院恩明楼205

摘要：After introducing some basic concepts in nonlinear dynamical system and functional differential equations, we consider a ring network of n identical neurons with delayed feedback. Regarding the time delay or coupling coefficients as bifurcation parameters, we obtain codimension one and two bifurcations. The local/global stability of the trivial solution is completely analyzed. We also give concrete formulas for the normal form coeffients derived via the center manifold reduction that provide detailed information about the bifurcation and stability of various bifurcated solutions. Numerical simulations are given to illustrate the theoretical results.