Discrete systems of equations231Figure 5.8.Hence,Jt=±0.5tt0.5t−100.5t²and the canonical form of the system iszt=±0.5tt0.5t−1.5t²z0Hencez1t=0.5tz10+t(0.5t−1)z20z2t=0.5tz20Therefore,z1t→0 andz2t→0ast→∞regardless of the initial point. This isillustrated for the original system using a spreadsheet, as shown in Fgure 5.8 forthe initial point (5,5).5.6.3Complex conjugate rootsAlthoughcomplexconjugaterootsinvolvedistinctrootsandindependenteigenvec-
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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.