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谢峰



谢峰教授

谢峰,1976年4月出生,应用数学学科教授。对多尺度动力系统中的鸭流形问题、非光滑微分方程的奇异摄动边值问题等进行了深入研究,在Journal of Nonlinear ScienceJournal of Differential EquationsChinese Annals of Mathematics-Series B 等国内外学术期刊发表相关论文30余篇,参与编写《奇异摄动导论》. 主持完成1项国家自然科学基金,参与完成2项上海市自然科学基金。



研究方向:

  1. 常微分方程与动力系统

  2. 奇异摄动理论及其应用

近几年承担的科研项目:

  1. 主持上海市自然科学基金项目界面和模式问题中的奇异摄动理论”(2015.1-2017.12)

  2. 主持完成国家自然科学基金项目“多尺度动力系统中的鸭流形问题”(2008.1-2010.12)

  3. 主持完成东华大学优秀青年教师后备人选项目“奇异摄动问题的理论与计算”(2008.1-2009.12)

  4. 主持中央高校基本科研业务费项目“非光滑系统若干奇异摄动问题的研究”(2012.1-2014.12)

近几年论著及专利情况:

1. Lin Hongxu and Xie Feng*, Singularly perturbed second order semilinear boundary value problems with interface conditions, Boundary Value Problems, 2015, 2015: 47.

2. Xie Feng, An interface problem with singular perturbation on a subinterval, Boundary Value Problems, 2014, 2014: 201.

3. Xie Feng, On a class of singular boundary value problems with singular perturbation, Journal of Differential Equations, 252(2012), 2370-2387.

4. Xie Feng, Jin Zhaoyang, Ni Mingkang, On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions, Electronic Journal of Qualitative Theory of Differential Equations, 2010.

5. Xie Feng and Maoan Han, Existence of canards under non-generic conditions, Chinese Annals of Mathematics, Series B, 30(3) (2009), 239-250.

6. Xie Feng, Lin Xue yuan, Asymptotic solution of the van der pol oscillator with small fractional damping, Physica Scripta, 2009.

7. Xie Feng, Wang Jian, Zhang Weijiang and He Ming, A novel method for a class of parameterized singularly perturbed boundary value problems, Journal of Computational and Applied Mathematics, 213(1) (2008), 258-267.

8. Xie Feng and Chen Xianfeng, Canards in a rheodynamic model of cardiac pressure pulsations, Chinese Physics, 16(9) (2007), 2635-2639.

9. Xie Feng, Han Maoan, and Zhang Weijiang, The persistence of canards in 3-D singularly perturbed systemswith two fast variables, Asymptotic Analysis, 47 (1,2) (2006), 95-106.

10. Xie Feng, Han Maoan, and Zhang Weijiang, Existence of canard manifolds in a class of singularly perturbed systems, Nonlinear Analysis, 64 (3) (2006), 457-470.

11. Xie Feng, Han Maoan, and Zhang Weijiang, Canard phenomena in oscillations of a surface oxidation reaction, Journal of Nonlinear Science, 15 (6) (2005), 363-386. 

12. Xie Feng, Han Maoan, and Zhang Weijiang, Singular homoclinic bifurcations in a planar fast-slow system, J.Dynam. ControlSystems, 11(3) (2005), 433-448. 

13. Xie Feng and Zhang Xiang, Invariant algebraic surfaces of the Rabinovich system, J. Phys. A: Math. Gen., 36(2003), 499-516.

     

主要学术兼职:

  1. 中国数学会奇异摄动专业委员会理事

  2. 《奇异摄动丛书》编委会委员

国际交流与合作:

2012年9月-2013年8月访问荷兰莱顿大学.

联系电话:021-67792092-549                      EMAIL:fxie@dhu.edu.cn