学术报告报告题目： Explore stochastic instabilities of periodic points by transition path theory
报 告 人：周翔教授（香港城市大学）
报告时间：10月16日 （周五） 晚上19:30
报告地点：4号楼4318室
报告摘要：
We consider the noise-induced transitions in the randomly perturbed discrete logistic map from a linearly stable period orbit consisting of $T$ periodic points. We generalize the transition path theory to the discrete-time continuous-space stochastic process to attack this problem. As a first criterion of quantifying the relative instability among $T$ periodic points, we compare the distribution of the last passage locations in the transitions from the whole periodic orbit to a prescribed set far away. The second criterion is based on the capacity of the transition paths associated with each periodic point.Both criteria utilise the reactive probability current in the transition path theory.Our numerical results for the logistic map reveal the transition mechanism of escaping from the stable periodic orbit and identify which periodic point is more prone to lose stability so as to make successful transitions under random perturbations.
报告人简介：
Dr Xiang Zhou received his BSc from Peking University and PhD from Princeton University. Before joining City University in 2012, he worked as a research associate at Princeton University and Brown University. His major research interests include noise-induced transitions and stochastic systems, the study of rare events and its applications in physics, chemistry, biology, engineering and finance.
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数学学院
2015年10月14日