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    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 Science、Journal of Differential Equations、Chinese 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. 主持完成久久久久国产成人精品亚洲综合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.99tattoo.com

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