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Chaotic dynamics and bifurcation in a macro model

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Chaotic dynamics and bifurcation in a macro model
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Michael J. Stutzer1 editions

"The qualitative dynamics of a discrete time version of a deterministic, continuous time, nonlinear macro model formulated by Haavelmo are fully characterized. Recently developed methods of symbolic dynamics and ergodic theory are shown to provide a simple, effective means of analyzing the behavior of the resulting one-parameter family of first-order, deterministic, nonlinear difference equations. A complex periodic and random "aperiodic" orbit structure dependent on a key structural parameter is present, which contrasts with the total absence of such complexity in Haavelmo's continuous time version. Several implications for dynamic economic modelling are discussed"--Federal Reserve Bank of Minneapolis web site.

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  • Michael J. Stutzer

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