报告题目1：Complete synchronization of networks with Laplacian and non-Laplacian connections

时间：2025年12月5日 14:30-15:20

腾讯会议：500334795

报告简介：In this talk, we will introduce the master stability function (MSF) method for judging the stability of complete synchronization in networks. When considering a network that composes a Laplacian connection matrix, we have investigated the relationship between the existence conditions of synchronization manifold and the topological structures. In analyzing a three-layer network, we have given the MSF method applying to non-Laplacian systems, where the invariant manifold does not correspond to the zero eigenvalues of the connection matrix. Recently, we determined the precise forms of master stability equations (MSEs) for assessing synchronization among partial components.

报告题目2：Applications of neural network and optimization algorithm in dynamical systems

时间：2025年12月5日 15:30-16:20

腾讯会议：500334795

报告简介: In this talk, we will firstly introduce the relationship between the optimization algorithms and the discrete dynamical systems. Next, we will give several numerical examples in our published papers, which explore the rules of chaotic neuron models by using feedforward neural network (FFNN), reservoir computing (RC), and sparse identification of nonlinear dynamics (SINDy), respectively. Finally, we will briefly introduce our recent works about constructing the functional brain networks based on EEG data of epileptic patients.

报告人简介：戈鹏鹤，长春理工大学，讲师，硕士生导师，研究方向是非线性动力系统理论及其应用。在Chaos、Nonlinear Dynamics、International Journal of Bifurcation and Chaos等期刊发表论文多篇。