謝峰教授
謝峰，1976年4月出生，應(yīng)用數(shù)學(xué)學(xué)科教授。對(duì)多尺度動(dòng)力系統(tǒng)中的鴨流形問(wèn)題、非光滑微分方程的奇異攝動(dòng)邊值問(wèn)題等進(jìn)行了深入研究，在Journal of Nonlinear Science、Journal of Differential Equations、Chinese Annals of Mathematics-Series B 等國(guó)內(nèi)外學(xué)術(shù)期刊發(fā)表相關(guān)論文30余篇，參與編寫《奇異攝動(dòng)導(dǎo)論》. 主持完成1項(xiàng)國(guó)家自然科學(xué)基金，參與完成2項(xiàng)上海市自然科學(xué)基金。
研究方向：
常微分方程與動(dòng)力系統(tǒng)
奇異攝動(dòng)理論及其應(yīng)用
近幾年承擔(dān)的科研項(xiàng)目：
主持上海市自然科學(xué)基金項(xiàng)目“界面和模式問(wèn)題中的奇異攝動(dòng)理論”(2015.1-2017.12)
主持完成國(guó)家自然科學(xué)基金項(xiàng)目“多尺度動(dòng)力系統(tǒng)中的鴨流形問(wèn)題”(2008.1-2010.12)
主持完成東華大學(xué)優(yōu)秀青年教師后備人選項(xiàng)目“奇異攝動(dòng)問(wèn)題的理論與計(jì)算”(2008.1-2009.12)
主持中央高校基本科研業(yè)務(wù)費(fèi)項(xiàng)目“非光滑系統(tǒng)若干奇異攝動(dòng)問(wèn)題的研究”(2012.1-2014.12)
近幾年論著及專利情況：
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.
主要學(xué)術(shù)兼職：
中國(guó)數(shù)學(xué)會(huì)奇異攝動(dòng)專業(yè)委員會(huì)理事
《奇異攝動(dòng)叢書》編委會(huì)委員
國(guó)際交流與合作：
2012年9月-2013年8月訪問(wèn)荷蘭萊頓大學(xué).
聯(lián)系電話：021-67792092-549 EMAIL：fxie@dhu.edu.cn
