Economics Dynamics Problems 247

Economics Dynamics Problems 247 - Discrete systems of...

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Discrete systems of equations 231 Figure 5.8. Hence, J t = ± 0 . 5 t t 0 . 5 t 1 00 . 5 t ² and the canonical form of the system is z t = ± 0 . 5 t t 0 . 5 t 1 . 5 t ² z 0 Hence z 1 t = 0 . 5 t z 10 + t (0 . 5 t 1 ) z 20 z 2 t = 0 . 5 t z 20 Therefore, z 1 t 0 and z 2 t 0as t →∞ regardless of the initial point. This is illustrated for the original system using a spreadsheet, as shown in Fgure 5.8 for the initial point (5 , 5). 5.6.3 Complex conjugate roots Althoughcomplexconjugaterootsinvolvedistinctrootsandindependenteigenvec-
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.

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