As is well known in systems theory, the parameter space of most dynamic models is stratified into subsets, each of which supports a different kind of dynamic solution. Since we do not know the parameters with certainty, knowledge of the location of the bifurcation boundaries is of fundamental...

We explore bifurcation phenomena in the open-economy New Keynesian CGG Model based on Clarida et al. (2001, 2002). We find that the open economy framework can bring about more complex dynamics, along with a wider variety of qualitative behaviors and policy responses. Introducing parameters...

Grandmont (1985) found that the parameter space of even the simplest, most classical models are stratified into bifurcation regions. Barnett and He (1999,2002) subsequently found transcritical, codimension-two, and Hopf bifurcation boundaries within the parameter space of the policy-relevant...

As is well known in systems theory, the parameter space of most dynamic models is stratified into subsets, each of which supports a different kind of dynamic solution. Since we do not know the parameters with certainty, knowledge of the location of the bifurcation boundaries is of fundamental...

This paper reports on unsolved problems in our research on testing for nonlinearity and chaos and for designing bifurcation stabilization policies conditional upon macroeconomic models.

This paper surveys both the theoretical and empirical economics literatures on nonlinearity, complex dynamics, and chaos. Unlike earlier survey papers, this one is written for professional researchers in the area and assumes relevant mathematical background. Unsolved problems and unresolved...

This paper is a follow-on to our earlier paper, "Bifurcations in Continuous-Time Macroeconomic Systems." In this paper, we determine the stability properties of the UK continuous time macroeconometric model on its bifurcation boundaries and we test the null hypothesis that the model's parameters...