The Differential Equations and Dynamical Systems Group
Contents:
Faculty
- 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. - Andy Foster
Dynamical systems; Mathematical modelling; Applications in ecology, cell population biology, physiology and finance. - Chun-Hua Ou
Applied differential equations (PDEs and ODEs) and dynamical systems; Mathematical biology; Applied analysis methods for differential equations. - Amy Hurford
Mathematical modelling in biology; Applications to epidemiology, evolutionary biology, and ecology; Model parametrization and selection. - Danny Summers
Nonlinear dynamics in the sciences; Modelling; Applications in the physical sciences - Yuan Yuan
Delay differential equations; Dynamical systems; Computation of differential equations (symbolic and numerical); Mathematical modelling and analysis in biology/ecology/epidemiology. - 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.
Current Graduate Students
| Name | Program | Years in Program | Supervisor(s) |
| Anmol Lorenz | PhD | January 2023- | Yuan |
| Dandan Hu | PhD | January 2023- | Yuan |
Former Graduates
| Name | Program | Supervisor(s) |
| Cuiping Wang | M.Sc ('21) | Yuan |
| Eashin Patwary | M.Sc ('20) | Yuan |
| Natasha Kirby | M.Sc. ('06) | Foster |
| Leo Lee | M.Sc. ('06) | |
| Jingtang Ma | Ph.D. ('04) | |
| Jessica Rose | M.Sc. ('06) | Foster / Grant |
| Robin Swain | M.Sc. ('03) | Foster |
| Lin Wang | Ph.D. ('03) | Zou |
| Dashun Xu | Ph.D. ('04) | |
| Fang Zhang | Ph.D. ('06) |
Courses
Undergraduate Courses
- AMAT 3100 Introduction to Dynamical Systems
- AMAT 3161 Ordinary Differential Equations II
- AMPM 3260 Ordinary Differential Equations I
- AMAT 4160 Partial Differential Equations I
- AMAT 4170 Partial Differential Equations II
- AMAT 4190 Mathematical Modelling
Graduate Courses
- MATH 6100 Dynamical Systems
- MATH 6102 Mathematical Biology
- MATH 6104 Infinite Dimensional Dynamical Systems
- MATH 6121 Functional Differential Equations
Journals
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