唐异垒Yilei Tang
教授Professor

办公室??Office：
6 号楼 729
办公接待时间??Office Hour：
周二下午
办公室电话??Office Phone：
**
E-mail：
mathtyl at sjtu.edu.cn
教育背景??Education：
博士，2005，四川大学
Ph.D., 2005, Sichuan University

研究兴趣??Research Interests：
常微分方程与动力系统
Ordinary Differential equation and dynamical system

教育背景/经历　Education
09/2000--07/2005, Ph.D, College of Mathematics, Sichuan University(SCU), China
09/1996--07/2000, B.S., College of Mathematics, SCU, China

工作经历　Work Experience
12/2018--Present, Professor, Shanghai Jiao Tong University (SJTU), China
12/2008--12/2018, Associate Professor, SJTU, China
06/2007--11/2008, Lecturer, SJTU, China
07/2005--05/2007, Post-doctorate, Peking University, China
04/2010—04/2011, Visiting Researcher, Plymouth University, UK
06/2016-06/2017, Visiting Researcher, University of Maribor, Slovenia
FUNDINS



2006-2007, Postdoctoral Fund of China ,No. , Principal Investigator (PI)
2009-2011, National Natural Science Foundation of China (NSFC) for Young research Scholar, No.**, PI
2012-2014， Chenxing Young Scholars Program B， Shanghai Jiao Tong University, PI
2015-2019, National Natural Science Foundation of China (NSFC重点), No. **， Co-PI

2016-2017,European Union‘s Horizon 2020 research and innovationprogramme under the Marie Sklodowska-Curie grant agreement, No. 655212, PI

2018-2020, China-Slovenia Cooperation Project, Ministry of Science and Technology of China, Bifurcation and Application of Differential Dynamic Systems, PI

2019-2022, National Natural Science Foundation of China(NSFC), No: **， PI

2020-2024, National Natural Science Foundation of China (NSFC重点), No: **， Co-PI

2020-2023, Science and Technology Innovation Action Program of STCSM，No: 20JC**,PI

PUBLICATIONS
[1] Y. Tang (唐异垒) and W. Zhang*, Generalized normalsectors and orbits in exceptional directions, Nonlinearity, 17 (2004),1407--1426.
[2] Y. Tang and W. Zhang*,Bogdanov-Takens bifurcation of a polynomial differential system inbiochemical reaction, Comput. Math.Appl., 48 (2004), 869--883.
[3] Y. Tang and W. Zhang*, Heteroclinic bifurcation in a ratio-dependentpredator-prey system, J. Math. Biol., 50 (2005), 699--712.
[4] D. Huang, Y. Gong, Y. Tang and W. Zhang*, Degenerate equilibria atinfinity in the generalized russelator, Math.Comput.Model.,42 (2005),167--179.
[5] Y. Tang* and W. Li, Global analysis of an epidemic model with aconstant removal rate, Math. Comput. Model, 45 (2007),834--843.
[6] Y. Tang* and W. Li, Globaldynamics of an epidemic model with an unspecified degree, Comput. Math. Appl., 53 (2007), 1704--1717.
[7] S. Ruan*, Y. Tang and W. Zhang,Computing the hetroclinic bifurcation curves in predator-prey systems with ratio-dependentfunctional response, J. Math. Biol., 57 (2008), 223--241.
[8] Y. Tang*, W. Li and Z.Zhang, Focus-center problem of planar degenerate system, J. Math. Anal. Appl., 345(2008), 934--940.
[9] Y. Tang, D. Huang, S. Ruan* and W.Zhang, Coexistence of limit cycles and homoclinic loops in an SIRS modelwith nonlinear incidence rate, SIAM J. Appl. Math., 69 (2008),621--639.
[10] S. Rua*, Y. Tang and W.Zhang, Versal unfoldings of predator-prey systems with ratio-dependent functionalresponse, J. Differential Equations, 249 (2010), 1410--1435.
[11] Y. Tang*, D. Huang and W. Zhang, Direct parametric analysis of an enzyme-catalyzed reaction model, IMA Journal of Applied Mathematics, 76 (2011), 876--898.
[12] Y. Tang* and D. Xiao, Periodic solutions for a predator-prey modelwith periodic harvesting rate, International Journal of Bifurcation and Chaos, 24 (2014), **.
[13] Y. Tang*, L. Wang and X. Zhang, Center of planar quinticquasi--homogeneous polynomial differential systems, Discrete Contin. Dyn. Syst., 35 (2015), 2177--2191.
[14] Y. Tang*, Global dynamics ofa parasite-host model with nonlinear incidence rate, International Journal of Bifurcation and Chaos,25(2015),**.

[15] Y. Shi* and Y. Tang, Onconjugacies between asymmetric Bernoulli shifts, J. Math. Anal. Appl., 434 (2016),209–221.
[16] Y. Tang, W. Zhang*, VersalUnfolding of Planar Hamiltonian Systems at Fully Degenerate Equilibrium, J. Differential Equations 261(2016) 236–272.
[17] W. Fernandes,V. G.Romanovski, M. Sultanova, Y. Tang*, Isochronicity andlinearizability of aplanar cubic system,J. Math. Anal. Appl.,450(2017) 795–813.
[18] Y.Tang, D. Xiao*, W. Zhang and D. Zhu, Dynamics of epidemic models with asymptomatic infection and seasonalsuccession.Math. Biosci.Eng.14(2017),no. 5-6,1407–1424.
[19] V. G. Romanovski, W.Fernandes, Y. Tang* and Y. Tian,Linearizability and critical period bifurcations of a generalized Riccati system, Nonlinear Dynamics, 90 (2017),257-269.
[20] H. Chen, J. Llibre* and Y. Tang, Global dynamics of SD oscillator, Nonlinear Dynamics, 91 (2018), 1755-1777.
[21] Y. Tang*, Global dynamics and bifurcation of planar piecewise smooth quadratic quasi--homogeneous differential systems, Discrete Contin. Dyn. Syst.-A, 38 (2018), 2029-2046.
[22] H. Chen, S. Duan, Y. Tang* and J. Xie, Global dynamics of a mechanical system with dry friction, J. Differential Equations, 265(2018),no. 11,5490–5519.
[23] V. Romanovski, M. Han, S. Macesic and Y. Tang*, Dynamics of an autocatalator model, Mathematical Methods in the Applied Sciences, 41 (2018), 9092–9102.
[24] H. Chen and Y. Tang*, Atmost two limit cycles in a piecewise linear differential system with three zones and asymmetry, Physica D -Nonlinear Phenomena,386-387 (2019), 23-30.
[25] J. Llibre and Y. Tang*, Limit cyclesof discontinuous piecewise quadratic and cubic polynomial perturbations of alinear center, Discrete Contin. Dyn. Syst.-B, 24 (2019),4:1769-1784.
[26] H. Chen and Y. Tang*, Proof of Artés–Llibre–Valls’s conjectures for the Higgins–Selkov and the Selkov systems,J. Differential Equations, 266(2019),7638–7657.
[27] Y. Tang and W. Zhang*, Versal unfolding of a nilpotent Lienard equilibrium within the odd Lienard family, J. Differential Equations,267(2019), 2671–2685.
[28] Y. Tang* and X. Zhang, Global dynamics of planar quasi-homogeneous differential systems, Nonlinear Anal. Real World Appl.49(2019),90–110.
[29] H. Chen, J. Llibre and Y. Tang*, Centers of discontinuous piecewise smooth quasi--homogeneous polynomial differential systems, Discrete Contin. Dyn. Syst.-B, 24(2019), 6495-6509.

[30]H. Chen and Y. Tang*, A proof of Euzebio-Pazim-Ponce‘sconjectures for a degenerate planar piecewise linear differentialsystem withthree zones,Physica D-Nonlinear Phenomena,401 (2020) ,132150.
[31] H. Chen and Y. Tang*, An oscillator withtwo discontinuous linesand Van der Poldamping,Bull. Sci.math., 161 (2020), 102867.
[32] H. Chen* and Y. Tang, Global dynamics of the Josephsonequation inTS^1,J.Differential Equations, 269 (2020), 4884–4913.






COURSES
2007-2008-2: 工程数学（B类）;
2008-2009-1：复变函数与积分变换;
2008-2009-1：工程数学（B类）;
2008-2009-2：线性代数（B）;
2009-2010-1：复变函数与积分变换.

等等


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