An attempt is made to analyze some of the attractors in Zambelli’s macrodynamics as knots. This enables one to connect the richness of dynamical systems theory with the dynamic sequence analysis of knots.

Macroeconomic dynamics are shaped by how individual incentives to spend and accumulate interact with the decisions of others. The goal of this paper is to identify--within a simple large-game-theoretic structure--which types of agent interactions favor which types of dynamic equilibrium...

Unlike linear ones, nonlinear business cycle models can generate sustained fluctuations even in the absence of shocks (e.g., via limit cycles/chaos). A popular approach to solving nonlinear models is perturbation methods. I show that, as typically implemented, these methods are incapable of...

In recent years economists have begun to use the techniques of non-linear dynamics to show that some apparently erratic and turbulent economic phenomena reflect subtle underlying patterns. How do cyclic and chaotic dynamics arise in economic models of equilibrium? How can empirical methods be...