Qigui Yang
time: 2015-07-03

Name:
Qigui Yang 

Introduction:
Phone: +86-20-13662483386
Email: qgyang@scut.edu.cn
Qigui Yang
Professor of Mathematics
Department of Mathematics
School of Science
South China University of Technology, Guangzhou, 510640, P.R.China
Email: qgyang@scut.edu.cn
I. Education Background
◇ Ph.D. Degree (1999.9-2002.6), School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou
◇ M.S. Degree (1992.7-1995.7), Department of Applied Mathematics and System Engineering, Chongqing University, Chongqing
◇ (1984.9-1987.7), Department of Mathematics, Fuling Teacher Colloge, Fuling, Chongqing
II. Professional Experience
◇ Full Professor, School of Science, South China University of Technology, 2005-now
◇ Full Professor, Post-doctoral Research, Department of Mathematics Science, Tsinghua University, Beijing, China, 2002.9-2004.8
◇ Associate Professor, College of Mathematical and Computer Sciences, Guangxi Normal University, 1999,11-2002.12
◇ Lecturer, College of Mathematical Sciences, Guangxi Normal University, 1995.7-1999.11
III. Main Research Fields
◇ Nonlinear differential equations, including the qualitative theory of differential equations, oscillation theory.
◇ Nonlinear dynamical systems, including chaotic theory and bifurcation theory.
IV. Main Awards
◇ first class prize from the Guangxi Province Award for Science and Technology Progress. Grant No: 2005-1-003-01
◇ third class prize from the universities in Guangxi Province Award for Science and Technology Progress. Grant No: S99010-1
V. Main Research Funds
◇ 1999.1—2001.12, Natural Science Foundation of Guangxi Province, Qualitative research and application of orbits in nonlinear ordinary differential systems, Grant No. 9811021
◇ 2002.1—2004.12, Natural Science Foundation of Guangxi Province, Structure of attractor and appellations in bio-mathematics, Grant No. 0236012
◇ 2006.1—2007.12, Natural Science Foundation of Guangdong Province, Study on oscillation and chaotic complexity, Grant No. 05300162
◇ 2005.1—2007.12, Natural Science Foundation of China, Study on complexity in matrix differential systems and nonlinear chaotic systems, Grant No. 100461002.
◇ 2009.1—2011.12, Natural Science Foundation of China, Qualitative research on complexity in chaotic and hyper-chaotic systems, Grant No. 10771074
VI. Teaching
◇13 M. S. students graduated; 6 Ph.D candidates and 3 M.S. students are now in
study.
◇ Courses: Mathematical analysis; Ordinary differential equation; Function theory
of a complex variable; Qualitative theory of differential equation; Bifurcation and chaos; Introduction to dynamical system; Nonlinear dynamical system; etc..
VII. Publications
◇Author of over 30 papers in international journals and over 40 papers in the excitable Chinese journals, 34 papers were indexed by SCI or SCI-E, 24 papers were indexed by EI.
List of part publications since 2003
Oscillation theory of matrix differential systems
1.Qigui Yang, R. Mathsen, Siming Zhu, Oscillation theorems for self-adjoint matrix Homiltonian systems, J. Differential Equations, 191(2003), 306--329.
2 Qigui Yang, Yun Tang, Interval oscillation criteria for self-adjoin matrix Hamiltonian systems, Proc. Roy. Soc. Edinburgh Sect. A, 135: 5(2005), 1085 -1108.
3. Qigui Yang, S. S. Cheng, On the oscillation of self-adjoint matrix Hamiltonian systems, Proc. Edinburgh Math. Soc., 46(2003), 609—625.
4. Qigui Yang, Oscillation of self-adjoint linear matrix Hamiltonian systems, J. Math. Anal. Appl., 296: 1(2004), 110—130.
5. Qigui Yang, Yun Tang, Oscillation theorems for certain second order self-adjoin matrix differential systems, J. Math. Anal. Appl., 288:2(2003), 565—585.
6. Qigui Yang, Yun Tang, Oscillation theorems for self-adjoint matrix Hamiltonian systems involving general means, J. Math. Anal. Appl., 295(2004), 355-377.
7. Qigui Yang, Oscillation theorems of second order linear matrix of solutions differential systems with damping, Acta Math. Sncia (English series), 21: 1(2005), 17—30
Theory of chaos and bifurcation
1. Qigui Yang, Guanrong Chen, Tianshou Zhou, The unified Lorenz-type system and its canonical form, Int J Bifur Chaos, 16:10(2006) , 2855-2871
2. Qigui Yang, Guanrong Chen, A chaotic system with one saddle and two stable node-foci, Int J Bifur Chaos, 18:5(2008), 1393–1414
3. Qigui Yang, Guanrong Chen, Kuifei Huang, Chaotic attractors of the conjugate Lorenz-type system, Int J Bifur Chaos, 17:11(2007), 3929-3949 Tutorial -Review paper
4. Qigui Yang, Kangming Zhang, Guanrong Chen, A modified generalized Lorenz-type system and its canonical form, Int J Bifur Chaos, 19: 6(2009), 1931—1949 Tutorial-Review paper
5. Qigui Yang, Kangming Zhang, Guanrong Chen, Hyperchaotic attractors from a linearly controlled Lorenz system, Nonlinear Analysis: Real World Applications, 10: 3(2009), 1601 -1617.
6. Qigui Yang, Yongjian Liu, A hyperchaotic system from a chaotic system with one saddle and two stable node-foci, J Math Anal Appl, 360: 1(2009), 293—306
7.Guirong Jiang, Qigui Yang*, Complex dynamics in a linear impulse system, Chaos, Solitons and Fractals, 41 (2009) 2341–-2353.
VIII. Current research Interests
Currently, we are considering the family of generalized Lorenz chaotic system with the homoclinic orbit, heteroclinic orbit, bifurcation and other characteristics, in order to study the existence of Shil'nikov chaos and its formation mechanism in depth. Moreover,we also investigate application of chaos, such as control and anti-control, economic analysis, nonlinear current, biological and medical applications, and so on.