Bifurcation theory in discrete dynamical systems provides a rigorous framework for analysing qualitative changes in system behaviour as parameters vary. In these systems, subtle modifications of ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

The elasticity of substitution has been proposed as one factor in the generation of aggregate fluctuations in dynamic models with incomplete markets. We study the existence of periodic solutions in a ...

Mr. Tang is doing his PhD in bifurcation analysis in piecewise linear dynamical systems. His interests are nonlinear dynamics and mathematical modeling. Many of our academics speak to the media as ...