姓名：宋健
联系邮箱：jsongmath@smu.edu.cn
学习经历（学士、硕士、博士）：
2013.09-2017.07 安庆师范大学，数学与应用数学，学士
2022.09-2024.03 Massey University，应用数学，联合培养
2018.09-2024.09 华南理工大学，应用数学，硕博
工作经历：
2025.09-至今 南方医科大学生物医学工程学院数学物理系，讲师
研究方向：神经动力学与计算、非线性动力系统理论及其应用、复杂网络与建模
代表性论文：
[1] Song Jian, Carlo R. Laing, and Liu Shenquan*, A dynamical analysis of collective behavior in a multipopulation network with infinite theta neurons. Physica D: Nonlinear Phenomena. 472 (2025): 1-21. [https://doi.org/10.1016/j.physd.2024.134468].
[2] Song Jian, Carlo R. Laing, and Liu Shenquan*, Ion channels and the diversity of spontaneous firing in anterior pituitary corticotrophs: A dynamical analysis. Communications in Nonlinear Science and Numerical Simulation. 131 (2024): 1-33 [https://doi.org/10.1016/j.cnsns.2023.107789].
[3] Song Jian, Lin Hui, and Liu Shenquan*. Basal ganglia network dynamics and function: Role of direct, indirect and hyper-direct pathways in action selection. Network: Computation in Neural Systems. 34.1-2 (2023): 84-121. [http://dx.doi.org/10.1080/0954898x.2023.2173816].
[4] Song Jian, Liu Shenquan*, and Lin Hui. Model-based Quantitative optimization of deep brain stimulation and prediction of Parkinson’s states. Neuroscience. 498 (2022): 105-124. [http://dx.doi.org/10.1016/j.neuroscience.2022.05.019].
[5] Song Jian, Liu Shenquan*, and Wen Qixiang. Geometric analysis of the spontaneous electrical activity in anterior pituitary corticotrophs. Chaos, Solitons & Fractals. 161 (2022): 112305. [http://dx.doi.org/10.1016/j.chaos.2022.112305].
[6] Song Jian, Liu Shenquan*, and Zang Jie. Behavior decision-making model based on basal ganglia mechanism. Journal of Dynamics and Control. (2020), 18(6):1-31. [http://dx.doi.org/10.6052/1672-6553-2020-051]. (In Chinese)
[7] Zhao Na, Laing, Carlo R., Song Jian, and Liu, Shenquan*, Subsystem resetting of a heterogeneous network of theta neurons. Physica A: Statistical Mechanics and Its Applications. (2025), 662: 0-130416. [https://doi.org/10.1016/j.physa.2025.130416]
[8] Lin Xinyi, Song Jian, Zhao Na, and Liu, Shenquan*, Geometric singular perturbation analysis of a three-timescale coupled reduced Hodgkin-Huxley system. Mathematics and Computers in Simulation. (2025), 235: 219-236. [https://doi.org/10.1016/j.matcom.2025.01.003]
[9] He Ke, Song Jian, Zhao Na, and Liu Shenquan*. Hopf bifurcation and dynamical transitions in a fractional-order FitzHugh-Rinzel model with multiple time delays. Communications in Nonlinear Science and Numerical Simulation. 141 (2025): 108471. [ https://doi.org/10.1016/j.cnsns.2024.108471]
[10] Zhao Na, Song Jian, He Ke, and Liu Shenquan*, The bifurcation and multi-timescale singularity analysis of the AII amacrine cell firing activities in retina. Journal of Nonlinear Science. (2024), 34(93): 1-40. [https://doi.org/10.1007/s00332-024-10074-y].
[11] Zhan Feibiao, Song Jian*, and Liu Shenquan, The influence of synaptic strength and noise on the robustness of central pattern generator. Electronic Research Archive. 32(1) (2024): 686-706 [https://doi.org/10.3934/era.2024033].
[12] Zhan Feibiao, Song Jian*, Complex rhythm and synchronization of half-center oscillators under electromagnetic induction. Electronic Research Archive. 32(7) (2024): 4454-4471. [https://doi.org/10.3934/era.2024201]
[13] Lin Xinyi, Liu Shenquan*, and Song Jian. Bifurcation analysis and synchronization of dopaminergic neuron model. Journal of Guangxi University (Natural Science Edition). (2024), 49(1):204-217. [http://dx.doi.org/10.13624/j.cnki.issn.1001-7445.2024.0204]. (In Chinese)
[14] Zhan Feibiao, Zhang Yingteng, Song Jian, and Liu Shenquan. Canard Mechanism and Rhythm Dynamics of Neuron Models. Mathematics. 11.13 (2023): 2874. [https://doi.org/10.3390/math11132874].
[15] He Ke, Zhao Na, Song Jian, and Liu Shenquan*, Bifurcation and geometric singular perturbation analysis to a multi-timescale pituitary model. International Journal of Bifurcation and Chaos. 33(14) (2023): 2350170. [https://doi.org/10.1142/S0218127423501705].
[16] Zhao Na, Song Jian, and Liu Shenquan*. Multi-timescale analysis of midbrain dopamine neuronal firing activities. Journal of Theoretical Biology. 556 (2023): 111310. [http://dx.doi.org/10.1016/j.jtbi.2022.111310].