Wilfrid Laurier University Graduate Calendar - 2012/2013
Canadian Excellence

Dynamical Systems
0.5 Credit

This course studies the qualitative and quantitative theory of dynamical systems. Topics include: extensions of Picard's theorems; stability properties of continuous-time systems and of discrete-time iterative maps; linearization; Lyapunov direct method; centre manifold; and bifurcation. Other topics may include: delay/feedback equations, limit cycles, strange attractors and deterministic chaos. Applications to neural networks and complex ecosystems are examined.