徐衍聪
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姓名 |
徐衍聪
Yancong Xu |
性别 |
男
Male |
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联系方式 |
杭州师范大学理学院
Yancongx@163.com |
职称 |
副教授
Associate Professor |
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研究领域 |
1.动力系统,ODE & PDE
2.局部斑图动力学研究
3.同宿异宿现象
4.矩阵微分方程
Research Interests:
1. Dynamical Systems, ODE & PDE
2. Dynamics of Patterns, Nonlinear Waves
3. Homoclinic and Heteroclinic Phenomena
4. Matrix Differential Equations |
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个人简历 |
2010年9月-至今,杭州师范大学数学系,副教授,硕士生导师
2013年7月-2013年9月,美国布朗大学,应用数学中心, 国家留学基金资助访问学者, Visiting Scientist, Bjorn Sandstede 教授
2013年1月-2013年4月,日本京都大学数学科,GCOE资助,访问副教授,Hiroshi Kokubu教授
2011年1月-2012年1月,美国布朗大学,应用数学中心, Visiting Scholar,Bjorn Sandstede教授
2009年6月-2011年3月,浙江大学,数学博士后流动站,博士后,汪国昭教授
2008年7月-2010年8月,杭州师范大学数学系,讲师,硕士生导师
2005年8月-2008年月7月,华东师范大学,数学系,博士,朱德明教授
Employments:
1.Department of Mathematics,
Master Mentor
2. Department of Mathematics,
Master Mentor(From 2009)
3. Division of Applied Mathematics,
Professor Bjorn Sandstede
4. Department of Mathematics,
Professor Hiroshi Kokubu,
5.Division of Applied Mathematics, Brown University, Providence, USA. From Jan. 2011 to Jan. 2012. Visiting Scholar.
Professor Bjorn Sandstede
6. Department of Mathematics,
Professor Wang Guozhao.
7. Department of Mathematics,
Professor Zhu Deming
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教学情况 |
1.执教双语ODE课程
2.执教常微分方程,数学分析,动力系统分支理论等课程
3.执教AUTO & Matlab
Teaching:
1. Teach Bilingual ODE: <An introduction to ODE>.
2. Bifurcations in Dynamical Systems, ODEs and Mathematics Analysis, etc.
3. Softwares: AUTO 07P & Matlab |
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科研情况 |
科研情况:
部分论文( Selected Journal Publications):
[1] Yancong Xu* , Tianzhu Lan, Localized Patterns of the Cubic quintic Swift-Hohenberg Equations with Two Symmetry-breaking Terms. Submitted.
[2] Lantian Zhu, Yancong Xu*, Instability of equatorial water waves with an underlying current. Submitted.
[3] Yancong Xu*, Tianzhu Lan, Yongli Liu, New plane wave solutions and their stability of nonlinear Schr$\ddot{o}$dinger equation with weak dissipation. Submitted.
[4 ] Yancong Xu*, Yongli Liu, Localized patterns of the Swift Hohenberg equation with a dissipative term. Submitted.
[5] Xingbo Liu, Yancong Xu, Sisi Wang, Heterodimensional cycle bifurcation with two orbit flips, Nonlinear Dynamics, 2014,1-18, DOI 10.1007/s11071-014-1846-7.
[6] Yancong Xu*, Fengjie Geng, Existence of the Shift-invariant Curve Sequences on Center Manifolds near Homoclinic Bellows Configuration. Applied Mathematics B, Journal of Chinese Universities,2014, 29(1): 108-118.
[7] Yancong Xu*, Minling Zhong, A necessary and sufficient condition for the existence of large solutions for
[8] Bjorn Sandstede,Yancong Xu*, Snakes and isolas in non-reversible conservative systems. Dynamical Systems, 2012, 27(3), 217-329.
[9] Fengjie Geng, Yancong Xu*, Bifurcations of heteroclinic loop accompanied by pitchfork bifurcation. Nonlinear Dynamics (2012) 70:1645-1655.
[10] 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.
[11] Yancong Xu, D. M. Zhu, Bifurcation of heterodimensional cycles with one orbit flip and one inclination flip. Nonlinear Dynamics, 60(2010),1-13.
[12] 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.
[13] 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.
[14] 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.
[15] 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.
[16] Yancong Xu, New Kamenev Type Theorems for Super-linear Matrix Differential Equations. Applied Mathematics and Computation, 209(2)(2009), 410-414.
[17] 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.
[18] 徐衍聪,朱德明,邓桂峰,带有倾斜翻转的余维2反转异宿分支,中国科学,A辑,39(7) (2009), 827-839.
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Activities
&
Links
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Office Hours:
Monday: 2:00PM-4:00PM
Friday:1:30PM-4:00PM
ODE & PDE Seminar: Wednesday:2:00PM-4:30PM
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
People: |
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