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The Differential Equations and Dynamical Systems Group
Contents:
- Faculty
- Current Graduate Students
- Recent Graduates
- Courses
- Journals
- Hermann Brunner
Numerical analysis of Volterra-type integral and integro-differential equations; Computational solution of nonlinear reaction-diffusion problems with memory terms and blow-up solutions.
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- Andy Foster
Dynamical systems; Mathematical modeling; Applications in ecology, cell population biology, physiology and finance.
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- Chun-Hua Ou
Applied differential equations (PDEs and ODEs) and dynamical systems; Mathematical biology; Applied analysis methods for differential equations.
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- Danny Summers
Nonlinear dynamics in the sciences; Modeling; Applications in the physical sciences
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- Yuan Yuan
Delay differential equations; Dynamical systems; Neural network; Computation of differential equations (symbolic and numerical)
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- Xiaoqiang Zhao
Asymptotic behavior and special solutions of nonlinear evolution equations; Global dynamics and stability in infinite dimensional dynamical systems; Mathematical models in population biology and epidemiology.
| Name | Program | Years in Program | Supervisor(s) |
| Carl Howell |
M.Sc. (part-time) |
2001- |
Foster / Gosine |
| Riu Hu |
Ph.D. |
2006- |
Yuan |
| Yu Jin |
Ph.D. |
2005- |
Zhao |
| Brian Johansen |
M.Sc. |
2004- |
Brunner |
| Yijun Lou |
Ph.D. |
2007- |
Zhao |
| Cathy McFadyen |
M.Sc. (part-time) |
2004- |
Foster / Anderson |
| Zakaria Mohamad |
M.Sc. |
2006- |
Yuan |
| Shannon Sullivan |
Ph.D. (part-time) |
2001- |
Foster / Grant |
| Michael White |
M.Sc. |
2005-2008 |
Zhao |
| Wei Yuan |
M.Sc. |
2006- |
Ou / Yuan |
| Zhaoyu Yin |
M.Sc. |
2007- |
Brunner |
| Name | Program | Supervisor(s) | Thesis Title | Current Status |
| Natasha Kirby |
M.Sc. ('06) |
Foster |
Dynamical systems models of asset pricing |
Ph.D., University of Western Ontario |
| Leo Lee |
M.Sc. ('06) |
Yuan |
Stability and bifurcation in systems of tri-neurons with multiple time delays |
China |
| Jingtang Ma |
Ph.D. ('04) |
Brunner |
Discontinuous Galerkin methods and cascading multigrid methods for integro-differential equations |
Assistant Professor, Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing |
| Jessica Rose |
M.Sc. ('06) |
Foster / Grant |
Dynamical systems analysis of HIV immunopathogenesis and the effects of antiretroviral treatment interruption |
Ph.D., Bar-Ilan University, Israel |
| Robin Swain |
M.Sc. ('03) |
Foster |
The Morris-Lecar equations with delay |
Ph.D., Imperial College, UK |
| Lin Wang |
Ph.D. ('03) |
Zou |
Dynamics of some neural network models |
Assistant professor, Dept. of Math and Statistics, Univ. of New Brunswick, Canada |
| Dashun Xu |
Ph.D. ('04) |
Zhao |
Asymptotic behaviour and traveling waves for some population models |
Assistant professor, Dept. of Math, South Illinois University, USA |
| Fang Zhang |
Ph.D. ('06) |
Zhao |
Global dynamics of some spatially heterogeneous population models |
Postdoctoral fellow, Univ. of New Brunswick, Canada |
Undergraduate Courses
Graduate Courses
- MATH 6100 Dynamical Systems
- MATH 6102 Mathematical Biology
- MATH 6104 Infinite Dimensional Dynamical Systems
- MATH 6121 Functional Differential Equations
There are a lot of journals in differential equations and dynamical systems. Many of the following journals are available, either electronically or in hardcopy format at the Queen Elizabeth II Library.
- Advances in Differential Equations
- Communications in Partial Differential Equations
- Differential and Integral Equations
- Discrete and Continuous Dynamical Systems
- Dynamics of Continuous, Discrete and Impulsive Systems
- Ergodic Theory and Dynamical Systems
- Int. J. Bifurcation and Chaos
- J. Differential Equations
- J. Dynamics and Differential Equations
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