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Area of Research:
At
the present time global asymptotic stability, periodic behavior, and
bifurcation phenomena in functional differential
equations.
Education:
l 1993
¨C1996, B. S. in Mathematics, National University of Defense Technology,
People¡¯s Republic of China.
l 1998
¨C2001, M. S. in Mathematics, Hunan University, People¡¯s Republic of
China.
l
2001 ¨C2004, Ph.D. in Mathematics, Hunan University,
People¡¯s Republic of China.
Awards:
l
Royal Society China Post-doctoral fund,
2005, Royal Society
l Outstanding
Graduate Students Award, 1999, 2000, Hunan University.
l Excellent
Master's Report of Hunan Province.
l
Qiufang Scholarship, 2000, Hunan
University
Working Experiences:
l Postdoctoral Reseach Fellow: Department of Mathematics, Wilfrid Laurier University,
( from July 2006 to August 2007)
l Postdoctoral Reseach Fellow: Department of Mathematics, Imperial College London,
( from June 2005 to May 2006)
l Associate
Professor: College of Mathematics and Econometrics, Hunan University,
( from May 2005)
l Lecturer:
Department of
Applied Mathematics, Hunan University, (from June 2001 to May 2005)
l
Teacher: Liuyang No.7 Middle-school,
Liuyang, Hunan (from July 1996 to August 1998)
Research:
l Dynamics
of a delayed network of two neurons with both self-feedback and interaction
described by an all-or-none threshold function.
l Global
exponential stability and global exponentially convergent rate of Hopfield
neural networks with general activation functions. Main mathematics tools
involve topological degree, matrix theory, and inequality analysis techniques.
l
Stability and bifurcation of a ring of
identical neurons with delayed coupling. Main mathematics tools involve the
standard Hopf bifurcation theory, normal form, center manifold theory, Floquet theory,
monotone dynamical systems theory, the symmetric bifurcation theory of delay
differential equations, and representation theory of standard dihedral groups.
l
Equivariant normal form theory and equivarant bifurcation theory for functional differential equations.
Conference and
Workshop Presentations:
l Stability
analysis of a delayed Hopfield neural network, Dec 17, 2003: Interational
Conference on New Directions in Dynamics of Evolution Equations, Changsha,
Hunan, China.
l Stability
and bifurcation of a ring of identical cells with delayed coupling, Oct 20,
2003: 5th National Conference on Quantity of Differential Equations, Shanghai,
China.
l Global
exponential stability of discrete-time neural networks, Aug 12,2002: 7th
International Conference on Difference Equations and Applications, Changsha,
Hunan, China.
l
Dynamics of two-neuron networks, July 20,
2001: 6th National Conference on Differential Equations, Xiangtan, Hunan,
China.
Course taught in
the past years:
Mathematical Analysis, Engineering
Mathematics, Applied Functional Analysis, Function of Complex Variables,
Differential Manifolds.
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| ¡¡ Shangjiang Guo College
of Mathematics and Econometrics People's
Republic of China Tel: +86-731-6892521 shangjguo@hnu.edu.cn |
 |
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