| 郭上江 教授 Professor Shangjiang Guo |
中国地质大学(武汉)数学物理学院教授 Professor, School of Mathematics and Physics，CUG | |
中国地质大学(武汉)人力资源部部长 Director of Human Resources Department, CUG | |
办公室 Office | 东区综合教学楼B1506室 |
| Room B1506, Integrated Teaching building, East Campus |
办公室电话 Office Phone | 027-67885033 |
E-mail： | |
Homepage | |
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研究兴趣Research Interests | 时滞微分方程理论与应用研究 (delay differential equations) |
| 格动力系统研究 (Lattice dynamical systems) |
| 不连续动力系统研究 (Discontinuous dynamical systems) |
| 非线性泛函分析 (Nonlinear functional analysis) |
教育背景 Education
2006.07-2007.06 | 加拿大Wilfrid Laurier大学数学系，博士后（加方资助） |
Post-doctor fellow, Wilfrid Laurier University, Canada (Sponsored by NSERC) | |
2005.06-2006.05 | 英国Imperial College数学系，博士后（英国皇家学会资助） |
Post-doctor fellow, Imperial College London, UK (Sponsored by Royal Society ) | |
2001.09-2004.06 | 湖南大学数学与计量经济学院，博士研究生，获理学博士学位 |
PhD, Applied Mathematics, Hunan University | |
1998.09-2001.06 | 湖南大学数学与计量经济学院，硕士研究生，获理学硕士学位 |
Msci, Applied Mathematics, Hunan University |
工作经历 Academic Experience
2019.07- | 中国地质大学(武汉)数学物理学院，教授，博士生导师 |
Professor, PhD Advisor, China University of Geosciences | |
2023.07- | 中国地质大学(武汉)人力资源部，部长 |
Director of HR Department, China University of Geosciences | |
2019.07-2024.03 | 中国地质大学(武汉)数学物理学院，院长 |
Dean, China University of Geosciences | |
2009.07-2019.12 | 湖南大学数学与计量经济学院，副院长 |
Associate Dean, Hunan University | |
2008.12-2022.06 | 湖南大学数学与计量经济学院，博士生导师 |
PhD advisor, Hunan University | |
2008.01-2020.04 | 湖南大学数学与计量经济学院，教授 |
Professor, Hunan University | |
2016.07-2016.08 | 英国Bath大学数学科学系，访问教授（英方资助） |
Visiting professor, Bath University, UK | |
2015.07-2015.08 | 美国佐治亚理工学院数学学院，高级访问学者（国家留学基金委资助） |
Visiting professor, Georgia Institute of Technology, USA | |
2013.07-2013.08 | 英国Bath大学数学科学系，访问教授（英方资助） |
Visiting professor, Bath University, UK. | |
2011.09-2011.10 | 英国Imperial College数学系，访问教授（英方资助） |
Visiting professor, Imperial College London, UK | |
2011.07-2011.09 | 英国Bath大学数学科学系，访问教授（英方资助） |
Visiting professor, Bath University, UK. | |
2010.06-2010.08 | 加拿大York大学数学统计系，访问教授（加方资助） |
Visiting professor, York University, Canada | |
2009.12 | 匈牙利Szeged大学Bolyai研究所，访问教授（政府间合作项目资助） |
Visiting professor, Szeged University, Hungary | |
2009.12 | 匈牙利Panonia大学数学系，访问教授（政府间合作项目资助） |
Visiting professor, Pannonia University, Hungary | |
2007.08-2007.10 | 加拿大纽芬兰纪念大学数学统计系，访问教授（加方资助） |
Visiting professor, Memorial University of Newfoundland, Canada | |
2007.06-2007.08 | 加拿大York大学数学统计系，访问教授（加方资助） |
Visiting professor, York University, Canada | |
2005.06-2008.01 | 湖南大学数学与计量经济学院，副教授 |
Associate Professor, Hunan University, P.R.China | |
2002.06-2005.06 | 湖南大学数学与计量经济学院，讲师 |
Lecturer, Hunan University, P.R.China | |
2001.06-2002.06 | 湖南大学数学与计量经济学院，助教 |
Assistant professor, Hunan University, P.R.China |
主要学术任职 Academic Services
① | 美国数学会《Mathematical Reviews（数学评论）》评论员 Reviewer, Mathematical Reviews (American Mathematical Society) |
② | 欧洲数学会《Zentralblatt MATH（数学文摘）》评论员 Reviewer, Zentralblatt MATH (European Mathematical Society) |
③ | SCI刊物《Bulletin of the Malaysian Mathematical Sciences Society》编委 Editorial Board Member, Bulletin of the Malaysian Mathematical Sciences Society (SCI-indexed) |
④ | 中国高等教育学会高校人事人才与教师发展研究分会理事 Council Member, Research Branch for University Personnel, Talent & Faculty Development, China Association of Higher Education (CAHE) |
⑤ | 湖北省工业与应用数学学会副理事长 Deputy Director-general of Hubei Society for Industrial and Applied Mathematics |
⑥ | 武汉工业与应用数学学会副理事长 Deputy Director-general of Wuhan Society for Industrial and Applied Mathematics |
主要奖励和荣誉 Selected Honors & Awards
① | 国务院政府特殊津贴（2024年） State Council Special Allowance, 2024 |
② | “非线性系统稳定性、分岔与变分方法” 获得湖南省自然科学奖一等奖（排名第一，2018年） First Prize of Hunan Provincial Natural Science Award, 2018 (for research on "Stability, Bifurcation and Variational Methods in Nonlinear Systems"; ranked first). |
③ | “神经网络动力学理论与应用研究”获得湖南省科技进步奖一等奖（排名第二，2008年） The First Prize of Hunan Provincial Award for Scientific and Technological Progress, 2008 (for research on "Theory and Applications of Neural Network Dynamics"; ranked second). |
④ | “大数据背景下信息与计算科学专业三位一体人才培养模式的创新与实践”获得湖北省高等学校教学成果奖二等奖（排名第三，2023年） Second Prize of Hubei Provincial Higher Education Teaching Achievement Award, 2023 (for the project "Innovation and Practice of a Trinity Talent Cultivation Model for Information and Computing Science Majors in the Context of Big Data"; ranked third). |
⑤ | 入选教育部新世纪优秀人才支持计划，2007年 New Century Excellent Talents Support Program of the Education Ministry of China, 2007 |
⑥ | 湖南省杰出青年基金获得者，2010年 Hunan Provincial Science Fund for Distinguished Young Scholars , 2010 |
⑦ | 湖南省首批新世纪121人才工程人选，2005年 Hunan Province New Century 121 talent project, 2005 |
⑧ | 爱思唯尔中国高被引学者, 2014-2019, 2021-2024年 Most Cited Chinese Researchers (Elsevier), 2014-2019, 2021-2024 |
⑨ | 湖南大学“岳麓学者”特聘A岗教授，2016-2020年 Yuelu Distinguished Scholar (Rank A), Hunan University, 2016-2020 |
⑩ | “武汉英才”产业领军人才（创新类），2022-2024年 Wuhan Talents Program (Leading Industrial Talents – Innovation Category), 2022-2024 |
主要学术专著 Academic monograph
Shangjiang Guo, Jianhong Wu, Bifurcation Theory of Functional Differential Equations, Applied Mathematical Science, Vol. 184, ISBN：978-1-4614-6991-9，Springer: New York, 2013
主要学术论文 Selected Papers published in refereed journals
1. Shangjiang Guo (郭上江), Bifurcation from periodic solutions in delay differential equations. Journal of Differential Equations. 2026, 460: 114072.
2. Shangjiang Guo (郭上江), Global dynamics of a predator-prey system with indirect prey-taxis and nonlinear boundary fluxes. Studies in Applied Mathematics. 2025, 155: e70161.
3. Shangjiang Guo (郭上江), Existence and stability of positive solutions in a parabolic problem with a nonlinear incoming flux on the boundary, Journal of Differential Equations 2025, 436: 113349.
4. Shangjiang Guo (郭上江), Global dynamics of a Lotka-Volterra competition-diffusion system with nonlinear boundary conditions. Journal of Differential Equations 2023, 352: 308-353.
5. Shangjiang Guo (郭上江), Behavior and stability of steady-state solutions of nonlinear boundary value problems with nonlocal delay effect. Journal of Dynamics and Differential Equations 2023, 35(4): 3487-3520.
6. Shangjiang Guo (郭上江), Stability and bifurcation in a single species with nonlinear boundary conditions, Proceedings of the American Mathematical Society, 2023, 151 (5): 2057–2071.
7. Shangjiang Guo (郭上江), Shangzhi Li (李尚芝), Invariant measure and random attractors for stochastic differential equations with delay. Qualitative Theory of Dynamical Systems, 2022, 21(2): Paper No. 40.
8. Shangjiang Guo (郭上江), Theory and applications of equivariant normal forms and Hopf bifurcation for semilinear FDEs in Banach spaces. Journal of Differential Equations 2022, 317: 387-421
9. Shangjiang Guo (郭上江), Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition, Journal of Differential Equations 2021, 289: 236-278
10. Changfeng Liu (刘常峰博士生), Shangjiang Guo (郭上江), Steady states of Lotka-Volterra competition models with nonlinear cross-diffusion, Journal of Differential Equations, 2021, 292: 247-286.
11. Ling Zhang (张玲), Shangjiang Guo (郭上江), Existence and multiplicity of wave trains in a 2d diatomic face-centered lattice. Journal of Nonlinear Science 2022, 32: 54.
12. Ling Zhang (张玲), Shangjiang Guo (郭上江), Periodic travelling waves on damped 2D lattices with oscillating external forces, Nonlinearity 2021, 34: 2919-2936
13. Changfeng Liu (刘常峰博士生), Shangjiang Guo (郭上江), Dynamics of a predator-prey system with nonlinear prey-taxis, Nonlinearity, 2022, 35: 4283-4316.
14. Shangjiang Guo (郭上江), Patterns in a nonlocal time-delayed reaction-diffusion equation. Zeitschrift fur angewandte Mathematik und Physik, 2018, 69: 10
15. Shangjiang Guo (郭上江), Spatio-temporal patterns in a diffusive model with non-local delay effect, IMA Journal of Applied Mathematics. 2017, 82(4): 864-908
16. Shangjiang Guo (郭上江), Shuling Yan (严淑灵博士生)，Hopf Bifurcation in adiffusive Lotka-Volterra type system with nonlocal delay effect. Journal of Differential Equations, 2016, 260: 781-817
17. Shangjiang Guo (郭上江), Li Ma (马丽博士生), Stability and bifurcation in a delayed reaction–diffusion equation with Dirichlet boundary condition, Journal of Nonlinear Science, 2016, 26: 545-580.
18. Shangjiang Guo (郭上江), Johannes Zimmer, Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects. Nonlinearity, 2015, 28(2): 463-492.
19. Shangjiang Guo (郭上江), Stability and bifurcation in a reaction–diffusion model with nonlocal delay effect. Journal of Differential Equations, 2015, 259(4): 1409-1448.
20. Ling Zhang (张玲博士生), Shangjiang Guo (郭上江), Existence and multiplicity of wave trains in 2D lattice, Journal of Differential Equations 2014, 257(3): 759-783
21. Shangjiang Guo (郭上江), Juanjuan Man (满娟娟博士生), Patterns in hierarchical networks of neuronal oscillators with D3 ×Z3 symmetry, Journal of Differential Equations, 2013, 254(8): 3501-3529.
22. Shangjiang Guo (郭上江), Zero singularities in a ring network with two delays, Zeitschrift Fur Angewandte Mathematik Und Physik, 2013, 64( 2): 201-222.
23. 郭上江,吴建宏, 时滞微分方程广义Hopf分岔，中国科学：数学，2012年42卷2期91-105页.
24. Shangjiang Guo (郭上江), Y. Yuan, Pattern formation in a ring Network with delay, Mathematical Models and Methods in Applied Sciences, 2009，19(10)：1797-1852.
25. Shangjiang Guo (郭上江), Jeroen S W Lamb, Bob W Rink, Branching patterns of wave trains in the FPU lattice, Nonlinearity2009, 22: 283–299.
26. Shangjiang Guo (郭上江), Jeroen S W Lamb,Equivariant Hopf bifurcation for neutral functional differential equations, Proceedings of the American Mathematical Society, 2008, 136(6): 2031-2041.
27. Shangjiang Guo (郭上江), Lihong Huang, Stability of nonlinear waves in a ring of neurons with delays, Journal of Differential Equations, 2007, 236(2): 343-374.
28. Shangjiang Guo (郭上江), Yuming Chen, Jianhong Wu, Two-parameter bifurcations in a network of two neurons with multiple delays, Journal of Differential Equations, 2008, 244(2): 444-486.
29. Shangjiang Guo (郭上江), Lihong Huang, Non-linear waves in a ring of neurons, IMA Journal of Applied Mathematics, 2006,71(4): 496–518.
30. Shangjiang Guo (郭上江), Lihong Huang,Stability analysis of Cohen-Grossberg neural networks, IEEE Transactions on Neural Networks, 2006, 17(1): 106–117.
31. Shangjiang Guo (郭上江), Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay, Nonlinearity 2005, 18: 2391–2407.
32. Shangjiang Guo (郭上江), Lihong Huang, Stability analysis of a delayed Hopfield neural network, Physical Review E, 2003, 67: 061902.
33. Shangjiang Guo (郭上江), Lihong Huang, Hopf bifurcating periodic orbits in a ring of neurons with delays, Physica D: Nonlinear Phenomena, 2003, 183 (1-2): 19–44.
主持的科研项目 Funded Research Projects
1. 国家自然科学基金面上项目(National Natural Science Foundation of China)，12471173, 偏泛函微分方程动力学理论及应用研究(Dynamics of partial functional differential equations: Theory and applications)、2025/01-2028/12。
2. 国家自然科学基金面上项目(National Natural Science Foundation of China)，12071446, 偏泛函微分方程动力学研究(Dynamics of partial functional differential equations)、2021/01-2024/12。
3. 国家自然科学基金面上项目(National Natural Science Foundation of China)，11671123, 时滞反应扩散方程分岔理论与应用研究(Bifurcation theory and applications of reaction-diffusion equations with delays), 2017/01-2020/12。
4. 国家自然科学基金面上项目(National Natural Science Foundation of China)，11271115, 状态依赖时滞微分方程动力学研究(Dynamics of differential equations with state-dependent delays), 2013/01-2016/12。
5. 国家自然科学基金面上项目(National Natural Science Foundation of China)，10971057, 泛函微分方程分岔理论与应用研究(Theory and applications of bifurcations in functional differential equations), 2010/01-2012/12。
6. 国家自然科学基金面上项目(National Natural Science Foundation of China)，10601016、对称泛函微分方程局部分岔理论与应用研究(Theory and applications of local bifurcation of symmetric FDEs)、2007/01-2009/12。
7. 国家自然科学基金国际(地区)合作与交流项目(National Natural Science Foundation of China) , 11210301063, 时滞微分方程国际研讨会(International Symposium on delay differential equations)，2012/01-2012/12；
8. 教育部科学技术研究重点项目(The Key Project of Chinese Ministry of Education)，教技司[2009]41号, 时滞微分系统分岔理论与应用研究(Bifurcation theory and application of delay differential equations), 2009/01-2011/12。
9. 教育部新世纪优秀人才支持计划项目(Program for New Century Excellent Talents in University of the Education Ministry of China)，NCET-07-0264、2008/01-2010/12。
10. 湖南省杰出青年基金(Natural Science Foundation of Hunan)，10JJ1001，2010/01-2012/12。
毕业的博士研究生： Doctoral Students Supervised
姓名及工作单位 (PhD student & Current affiliation) | 博士毕业年份和毕业学校 (Year & University of PhD Graduation) | |
1 | 满娟娟, 杭州电子科技大学 (MAN Juanjuan, Hangzhou Dianzi University) | 2014年毕业于湖南大学 （Hunan University, 2014） |
2 | 张玲, 中国地质大学 (ZHANG Ling, China University of Geosciences) | 2015年毕业于湖南大学 （Hunan University, 2015） |
3 | 刘志苏, 中国地质大学 (LIU Zhisu, China University of Geosciences) | 2015年毕业于湖南大学 （Hunan University, 2015） |
4 | 侯爱玉, 湖南工业大学 (HOU Aiyu, Hunan University of Technology) | 2016毕业于湖南大学 （Hunan University, 2016） |
5 | 罗超良, 湖南工业大学 (LUO Chaoliang, Hunan University of Technology) | 2016毕业于湖南大学 （Hunan University, 2016） |
6 | 邓习军, 湖北汽车工业学院 (DENG XIjun, Hubei University of Automotive Technology) | 2016毕业于湖南大学 （Hunan University, 2016） |
7 | 贺小龙, 杭州师范大学 (HE Xiaolong, Hangzhou Normal University) | 2017毕业于湖南大学 （Hunan University, 2017） |
8 | 严淑灵, 江苏师范大学 (YAN Shuling, Jiangsu Normal Universality) | 2017毕业于湖南大学 （Hunan University, 2017） |
9 | 马丽, 广东财经大学 (MA Li, Guangdong University of Finance and Economics) | 2018毕业于湖南大学 （Hunan University, 2018） |
10 | 邹荣, 广西财经大学 (ZOU Rong, Guangxi University of Finance and Economics) | 2018毕业于湖南大学 （Hunan University, 2018） |
11 | 李栋, 重庆邮电大学 (LI Dong, Chongqing University of Posts and Telecommunications) | 2018毕业于湖南大学 （Hunan University, 2018） |
12 | 邱焕焕, 重庆交通大学 (QIU Huanhuan, Chongqing Jiaotong University) | 2019毕业于湖南大学 （Hunan University, 2019） |
13 | Sounvoravong Bounsanong, 老挝国立大学 (National University of Laos) | 2019毕业于湖南大学 （Hunan University, 2019） |
14 | 李尚芝, 中国地质大学 (LI Shangzhi, China University of Geosciences) | 2020毕业于湖南大学 （Hunan University, 2020） |
15 | 王一拙, 河北师范大学 (WANG Yizhuo, Hebei Normal University) | 2020毕业于湖南大学 （Hunan University, 2020） |
16 | 高建平, 赣南师范大学 (GAO Jianping, Gannan Normal University) | 2020毕业于湖南大学 （Hunan University, 2020） |
17 | 卫丹, 河南工业大学 (WEI Dan, Henan University of Technology) | 2022毕业于湖南大学 （Hunan University, 2022） |
18 | (LIU Changfeng, Changsha University） | 2023毕业于湖南大学 （Hunan University, 2023） |
19 | 田轩, 吉首大学 （TIAN Xuan, Jishou University） | 2024年毕业于中国地质大学 （China University of Geosciences，2024） |
20 | 李超超, 太原师范大学 (LI Chaochao, Taiyuan Normal University) | 2025年毕业于中国地质大学 （China University of Geosciences，2025） |
21 | 刘凯凯 (LIU Kaikai) | 预计2026年毕业于中国地质大学 （China University of Geosciences，2026） |
22 | 曲笑薇 (QU Xiaowei) | 预计2027年毕业于中国地质大学 （China University of Geosciences，2027） |
23 | 田辰源 (TIAN Chenyuan) | 预计2028年毕业于中国地质大学 （China University of Geosciences，2028） |
24 | 侯萌萌 (HOU Mengmeng) | 预计2029年毕业于中国地质大学 （China University of Geosciences，2029） |
主要讲授课程 Courses primarily taught
[1] 主讲过的本科生课程(Undergraduate courses)：
《数学分析(Mathematical Analysis)》、
《微分几何(Differential Geometry)》、
《空间解析几何(Analytic Geometry)》、
《常微分方程(Ordinary Differential Equations)》、
《常微分方程定性与稳定性理论(Qualitative Analysis and Stability Theory of Ordinary Differential Equations)》、
《复变函数(Functions of Complex Variables)》、
《数学分析续论(Topics on Mathematical Analysis)》、
《专业文献选读(Selected Readings of Professional Literature)》、
《线性代数(Linear Algebra)》、
《高等数学(Advanced Mathematics)》、
《概率论与数理统计(Probability and Mathematical Statistics)》
[2] 主讲过的研究生课程(Graduate courses)：
《李群在微分方程中应用(Lie Group and its application to Differential Equations)》、
《常微分方程定性与稳定性理论(Qualitative Analysis and Stability Theory of Ordinary Differential Equations)》、
《泛函微分方程(Functional Differential Equations)》、
《微分方程分岔与混沌理论(Bifurcation and Chaos Theory of Differential Equations)》、
《微分流形(Differential Manifolds)》、
《应用泛函分析(Applied Functional Analysis)》
Research Profile of Professor Shangjiang Guo
Professor Shangjiang Guo's research primarily focuses on delay differential equations, nonlinear partial differential equations, dynamical systems, and their applications in biology and neuroscience. His work spans multiple directions including reaction-diffusion equations, bifurcation theory, stability analysis, nonlocal delay effects, and nonlinear boundary conditions. The key features of his research are reflected in the following aspects:
1. Nonlinear Dynamical Systems and Bifurcation Theory
Professor Guo has made long-term dedication to stability and bifurcation analysis of dynamical systems, particularly in Hopf bifurcation, symmetry-breaking bifurcations and equivariant dynamics. He developed the equivariant normal form theory for functional differential equations in Banach spaces (e.g., Ref. 8) and applied it extensively to systems with delays and symmetries. His monograph, Bifurcation Theory of Functional Differential Equations (Springer, 2013), is a key reference in the field. His recent work continues to advance bifurcation analysis for systems with complex dynamics, including those arising from periodic solutions (Ref. 1).. He developed the equivariant normal form theory (e.g., Ref. 24) and applied it to delay differential equations and functional differential equations, revealing how nonlocal delays influence system dynamics (e.g., Refs. 17, 21).
2. Reaction-Diffusion Equations and Mathematical Biology
He has conducted systematic and in-depth investigations into spatiotemporal dynamics in biological models. This includes extensive work on Lotka-Volterra competition-diffusion systems (Refs. 4, 10) and predator-prey systems with mechanisms like prey-taxis (Refs. 2, 13). A major theme is the analysis of how nonlinear boundary conditions (Refs. 3, 4, 5, 6, 9) and nonlocal interactions/cross-diffusion (Refs. 10, 13) fundamentally alter the structure of steady states, their stability, and global dynamics.
3. Dynamics of Delay and Nonlocal Effects
Professor Guo has made some contributions to understanding the dynamical consequences of time delays and nonlocal spatial interactions. His research on nonlocal delayed reaction-diffusion equations (Refs. 9, 14, 15, 16, 19) has revealed how these effects drive pattern formation and instability. His work also delves into delay effects in neural networks (Refs. 22, 27, 30, 31, 32, 33), clarifying their role in generating oscillations, wave propagation, and synchronization in neuronal systems.
4. Lattice Dynamical Systems and Wave Phenomena
A substantial part of his research is dedicated to discrete lattice systems and travelling waves. He has analyzed the existence, multiplicity, and stability of wave trains and fronts in monoatomic and diatomic lattices (Refs. 11, 12, 18, 20, 23, 25), including systems with damping and external forcing. This work bridges continuous and discrete modeling frameworks for wave propagation in structured media.
5. Stochastic Dynamics and Applied Analysis
His research profile extends to stochastic differential equations with delay, investigating foundational topics such as invariant measures and random attractors (Ref. 7). Furthermore, his work consistently demonstrates a strong emphasis on rigorous mathematical analysis, including existence, multiplicity, and stability theory for solutions to complex nonlinear problems (Refs. 3, 5, 21).
Research Highlights:
· Theoretical Foundation: His research is built on a cornerstone of rigorous mathematical analysis, advancing fundamental theory in bifurcation, dynamics, and PDEs.
· Methodological Innovation: He excels at developing and applying advanced analytical tools—including equivariant normal forms, nonlinear spectral theory, and geometric methods—to tackle challenges posed by nonlinear boundary conditions, nonlocal delays, cross-diffusion, and high-dimensional dynamics.
· Interdisciplinary Integration: His work seamlessly integrates theoretical innovation with practical applications, providing powerful mathematical frameworks and precise predictions for understanding pattern formation, ecological dynamics, neural synchronization, and wave propagation in complex systems.
· Sustained Impact: Through a consistent publication record in top-tier journals and the training of graduate students (as reflected in co-authored publications), Professor Guo has established a sustained and influential research trajectory that connects abstract dynamical systems theory with concrete applied problems.
