The Differential Equations and Dynamical Systems Group


Contents:

  1. Faculty
  2. Current Graduate Students
  3. Recent Graduates
  4. Courses
  5. Journals


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