About Me
My name is Guangyuan Liao. I got my PhD degree in Applied Mathematics at New Jersey Institute of Technology. My research interests include mathematical modeling, dynamical systems, and coupled neural networks.
Publications
[1] Zhang, L., Xu, Y., Liao, G.*, Haque, M., 2024. Qualitative properties and bifurcations of a Cournot-Bertrand duopoly mixed competition model. Communications in Nonlinear Science and Numerical Simulation 131, 107878. https://doi.org/10.1016/j.cnsns.2024.107878
[2] Xu, J., Qian, W., Hu, L., Liao, G., Tian, Y., 2024. EEG decoding for musical emotion with functional connectivity features. Biomedical Signal Processing and Control 89, 105744. https://doi.org/10.1016/j.bspc.2023.105744
[3] Liao, G., Zhang, L., 2022. Solving flows of dynamical systems by deep neural networks and a novel deep learning algorithm. Mathematics and Computers in Simulation 202, 331–342. https://doi.org/10.1016/j.matcom.2022.06.004
[4] Nordick, B., Yu, P.Y., Liao, G., Hong, T., 2022. Nonmodular oscillator and switch based on RNA decay drive regeneration of multimodal gene expression. Nucleic Acids Research 50, 3693–3708. https://doi.org/10.1093/nar/gkac217
[5] Zhang, L., Xu, Y., Liao, G.*, 2022. Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect. Int. J. Bifurcation Chaos 32, 2250036. https://doi.org/10.1142/S0218127422500365
[6] Zheng, P., Shan, W., Liao, G.*, 2023. Stability Analysis of the Immune System Induced by Chemotaxis. SIAM J. Appl. Dyn. Syst. 22, 2527–2569. https://doi.org/10.1137/22M1498310
[7] Liao, G., Bose, A., 2022. Entrainment within hierarchical circadian oscillator networks. Mathematical Biosciences 108883. https://doi.org/10.1016/j.mbs.2022.108883
[8] Liao, G., Diekman, C., Bose, A., 2020. Entrainment Dynamics of Forced Hierarchical Circadian Systems Revealed by 2-Dimensional Maps. SIAM J. Appl. Dyn. Syst. 19, 2135–2161. https://doi.org/10.1137/19M1307676
Teaching
Calculus I,II,III
Recitation leader, and grading.
Math 599: teaching in mathematics
Lab instructor. The latex tuturial and assignment can be found here. Go here to get materials for the course.
Bonus
Stanford online machine learning course certificate