Dynamical Systems: ordinary differential equations, partial differential equations, delay differential equations, and differential-algebraic equations and their applications.
Dynamical systems theory is the mathematics of change. The current research of applied dynamical systems at Western includes both theoretical study and practical applications. Dynamical systems may be represented by ordinary differential equations, partial differential equations, delay differential equations, or combination of differential equations and algebraic equations. They can be discrete, continuous or impulsive systems, or combinations of these.
If you are interested in graduate work in this research area, direct your application to the Department of Applied Mathematics.
- Chris Essex - Radiation thermodynamics, anomalous diffusion, chaos, dynamical systems and predictability.
- Rob Corless - Symbolic computation, numerical methods and analysis, reliability of numerical methods for dynamical systems.
- Greg Reid - Nonlinear differential equations (especially PDE), algorithms (especially for computer algebra), geometric and algebraic algorithms.
- Pei Yu - Nonlinear dynamical systems, stability, bifurcation, and chaos, mathematical biology, Hilbert's 16th problem and limit cycle theory, normal form computation.
- Xingfu Zou - Differential equations (ODEs, PDEs, FDEs), difference equations, applied dynamical systems, models in population biology, disease transmission, neural networks.