Euler equation models represent an important class of macroeconomic systems. Our research on the Leeper and Sims Euler equations macroeconomic model reveals the existence of singularity-induced bifurcations, when the model's parameters are within a confidence region about the parameter...

This paper was produced for the El-Naschie Symposium on Nonlinear Dynamics in Shanghai in December 2005. In this paper we provide a review of the literature with respect to fluctuations in real systems and chaos. In doing so, we contrast the order and organization hypothesis of real systems with...

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 discusses a few interpretative issues arising from trend- cycle decompositions with correlated components. We determine the conditions under which correlated components may originate from: underestimation of the cyclical component; a cycle in growth rates, rather than in the levels;...

This zip archive contains implementations of the trend-cycle-season filter in Eviews, Excel, and MatLab. The trend-cycle-season filter is another univariate method to decompose a time series into a trend, a cyclical and a seasonal component: the Trend-Cycle filter (TC filter) and its extension,...

The paper is concerned with a class of trend cycle filters, encompassing popular ones, such as the Hodrick-Prescott filter, that are derived using the Wiener-Kolmogorov signal extraction theory under maintained models that prove unrealistic in applied time series analysis. As the maintained...

This article explores by an econometric approach the permanent income hypothesis. The classical cointegration analysis applied by Cochrane and the Kalman filter technology with correlated error components are used. The latter approach compared with the former reveals a clear rejection of PIH for...

Potential output figures are important ingredients of many macroeconomic modelsand are routinely applied by policy makers and global agencies. Despite itswidespread use, estimation of potential output is at best uncertain and dependsheavily on the model. The task of estimating potential output...

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...

Grandmont (1985) found that the parameter space of even the simplest, most classical models is stratified into bifurcation regions. But in such classical models all policies are Ricardian equivalent and all solutions are Pareto optimal. As a result he was not able to reach conclusions about...