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Unformatted text preview: portant in using this to include the option remember, which allows the programme to remember values already computed. Higher-order recursive equations and nonlinear recursive equations are dealt with in exactly the same way. With discrete dynamic models, however, it is often easier and quicker to set the model up on a spreadsheet (see Shone 2001). Appendix 3.1 Two-cycle logistic equation using Mathematica THEOREM The number a satisfes the equation a = F ( F ( a )) iF a is either a fxed point or is part oF a two-cycle For the dynamical system x n + 1 = F ( x n ) 14 I am grateful to Johannes Ludsteck, Centre for European Economic Research (ZEW), for the method of computing tables from recursive equations in Mathematica , which is more efFcient than the one I provided in the Frst edition....
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- Fall '11