杭州師范大學(xué)理學(xué)院導(dǎo)師:徐衍聰

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杭州師范大學(xué)理學(xué)院導(dǎo)師:徐衍聰

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杭州師范大學(xué)理學(xué)院導(dǎo)師:徐衍聰 正文


姓名: 徐衍聰 Yancong Xu
性別:男 Male
聯(lián)系方式:杭州師范大學(xué)理學(xué)院;Yancongx@163.com
職稱:副教授Associate Professor

研究領(lǐng)域:
1.動(dòng)力系統(tǒng),ODE & PDE
2.局部斑圖動(dòng)力學(xué)研究
3.同宿異宿現(xiàn)象
4.矩陣微分方程

Research Interests:
1.Dynamical Systems, ODE & PDE
2.Dynamics of Patterns, Nonlinear Waves
3.Homoclinic and Heteroclinic Phenomena
4.Matrix Differential Equations

個(gè)人簡(jiǎn)歷
2010年9月-至今,杭州師范大學(xué)數(shù)學(xué)系,副教授,碩士生導(dǎo)師
2011年1月-2012年1月,Brown University,Division of Applied Mathematics, 國(guó)家留學(xué)基金資助訪問(wèn)學(xué)者,Bjorn Sandstede
2009年6月-2012年3月,浙江大學(xué),數(shù)學(xué)博士后流動(dòng)站,博士后,汪國(guó)昭教授
2008年7月-2010年8月,杭州師范大學(xué)數(shù)學(xué)系,講師,碩士生導(dǎo)師
2005年8月-2008年月7月,華東師范大學(xué),數(shù)學(xué)系,博士,朱德明教授

Employment:
1.Department of Mathematics, Hangzhou Normal University, Hangzhou From July 1st, 2010 to present. Associate Professor Master Mentor
2.Department of Mathematics, Hangzhou Normal University, Hangzhou From July 1st, 2008 to Aug. 30th, 2010. Lecture. Master Mentor(From 2009)
3.Division of Applied Mathematics, Brown University, Providence, USA From Jan. 18th, 2011 to Jan. 18th, 2012. Bjorn Sandstede,Visiting Scholar
4.Department of Mathematics, Zhejiang University, Hangzhou,China. Professor Wang Guozhao From June 12th, 2009 to March 15th, 2011. Postdoc.
5.Department of Mathematics, East China Normal University, Shanghai.From Aug. 30 2005 to Aug. 30th 2008. PH.D Candidate, Professor Zhu Deming

教學(xué)情況:
1.執(zhí)教雙語(yǔ)ODE課程
2.執(zhí)教高等數(shù)學(xué),動(dòng)力系統(tǒng)分支理論等課程
3.執(zhí)教AUTO & Matlab

Teaching:
1.Teach Bilingual ODE:
2.Dynamical Systems and Higher Mathematics etc.
3.Softwares: AUTO & Matlab

科研情況:
目前主要從事微分方程與動(dòng)力系統(tǒng)研究,主要包括:同宿異宿分支研究、局部結(jié)構(gòu)研究及數(shù)值模擬等研究工作,主要研究各種不同退化情形下的同宿異宿分支問(wèn)題及特殊動(dòng)力系統(tǒng),包括反轉(zhuǎn)動(dòng)力系統(tǒng),Hamiltonian系統(tǒng)及一般動(dòng)力系統(tǒng)的各類分支問(wèn)題,局部結(jié)構(gòu)分支問(wèn)題等。美國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)(SIAM)會(huì)員,近年來(lái)在國(guó)內(nèi)外重要期刊上發(fā)表論文20余篇,曾主持和參與各類國(guó)家或省基金,杭州師范大學(xué)培育項(xiàng)目、教改項(xiàng)目近10項(xiàng)科研項(xiàng)目。目前參與國(guó)家自然科學(xué)基金“幾類微分系統(tǒng)定性理論中若干問(wèn)題的研究”(11171085)一項(xiàng),主持浙江省自然科學(xué)基金項(xiàng)目一項(xiàng)(將于2012年6月結(jié)題),曾獲教育部公派留學(xué)基金全額資助(2011.1-2012.1),訪問(wèn)布朗大學(xué)(美國(guó)常青藤盟校之一)應(yīng)用數(shù)學(xué)中心Bjorn Sandstede教授,主持中國(guó)博士后科學(xué)基金項(xiàng)目一項(xiàng)(2009.8 - 2011.3),參與2009年、2011年浙江省自然科學(xué)基金項(xiàng)目?jī)身?xiàng)。曾參與和完成國(guó)家自然科學(xué)基金項(xiàng)目(10671105,2007.1- 2008.12),已結(jié)題;參與國(guó)家自然科學(xué)基金項(xiàng)目(10801051,2009.1-2011.12)一項(xiàng),已結(jié)題。
部分論文(Journal Publications):
[1] Bjorn Sandstede,Yancong Xu (Corresponding author), Snakes and isolas in non-reversible conservative systems. Dynamical Systems, 2012. (Accepted)
[2] Yancong Xu, D. M. Zhu, X. B. Liu, Bifurcations of Multiple Homoclinics in General Dynamical Systems. Discrete and Continuous Dynamical Systems (A), 30(3)(2011), 945-963.
[3] Yancong Xu, D. M. Zhu, Bifurcation of heterodimensional cycles with one orbit flip and one inclination flip. Nonlinear Dynamics, 60(2010),1-13.
[4] X. G. Zhang, Yancong Xu, Multiple positive solutions of singularly perturbed differential systems with different orders. Nonlinear Analysis, Theory, Methods & Applications, 72(5)(2010), 2645-2657.
[5] Yancong Xu, D. M. Zhu, F. J. Geng, Codimension 3 Heteroclinic Bifurcations with Orbit and Inclination Flips in Reversible Systems. Inter. J. of Bifur. and Chaos. 18(12) (2008), 3689-3701.
[6] Yancong Xu, D. M. Zhu, Guifeng Deng, Codimension 2 Reversible Heteroclinic Bifurcations with Inclination Flips. Science in China,Series, A:Mathematics, 52 (8)(2009),1801-1814.
[7] F. J. Geng, D. M. Zhu, Yancong Xu, Bifurcations of Heterodimensional Cycles with Two Saddle Points. Chaos, Solitons and Fractals, 39(5)(2009), 2063- 2075.
[8] Yancong Xu, New Kamenev Type Theorems for Super-linear Matrix Differential Equations. Applied Mathematics and Computation, 209(2)(2009), 410-414.
[9] F. J. Geng, Yancong Xu, D. M. Zhu, Periodic Boundary Value Problems for First-order Impulsive Dynamic Equations on Time Scales. Nonlinear Analysis, Theory, Methods & Applications. 11(69) (2008), 4074-4087.
[10] Fengjie Geng, Yancong Xu, Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation. Nonlinear Dynamics. (Revised).
[11] 徐衍聰,朱德明,鄧桂峰,帶有傾斜翻轉(zhuǎn)的余維2反轉(zhuǎn)異宿分支,中國(guó)科學(xué),A輯,39(7)(2009),827-839.

Activities& Links
Office Hours:
Monday: 12:00PM-1:00PM
Friday:10:00AM-11:00AM

Seminar:
ODE & PDE Seminar: Monday:5:00PM-6:30PM

Forthcoming Conferences & Talks:
1.International Conference on Applied Mathematics, Modeling, Analysis & Computation. From 28th May to June 1st, 2012, City of University of Hong Kong, Hong Kong.
2.The Sixth International Conference on Recent Advances in Applied Dynamical Systems. From June 24th to 27th, 2012, Guangzhou University, Guangzhou.

Links:
1.Department of Mathematics, Zhejiang University,China.
2.Division of Applied Mathematics, Brown Univesity, USA.
3.Department of Mathematics, Brown University, USA
4.Deapartment of Mathematics, East China Normal University,China.
5.Department of Mathematics, Imperial Colleage, London, UK
6.ICERM,Brown University,USA
People: Bjorn Sandstede; J. Nathan Kutz; Martina Chirilus-Bruckner; Alan R. Champneys;Yiping Ma; John Burke; J. Lamb

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