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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, Peoples Republic of China.

l       1998 C2001, M. S. in Mathematics, Hunan University, Peoples Republic of China.

l        2001 C2004, Ph.D. in Mathematics, Hunan University, Peoples 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. 2002, Hunan.

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.

Shangjiang Guo

College of Mathematics and Econometrics
Hunan University, Changsha
Hunan 410082

People's Republic of China

Tel: +86-731-6892521
Fax:+86-731-8823056

shangjguo@hnu.edu.cn

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