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Unformatted text preview: 1 ,y 2 } is called a periodic orbit. Geometrically, a kperiodic point For the discrete system y t + 1 = f ( y t ) is the ycoordinate oF the point where the graph oF f k ( y ) meets the diagonal line y t + 1 = y t . Thus, a threeperiod cycle is where f 3 ( y ) meets the line y t + 1 = y t . In establishing the stability/instability oF period points we utilise the Following theorem. THEOREM 3.2 Let b be a kperiod point of f. Then b is (i) stable if it is a stable Fxed point of f k (ii) asymptotically stable (attracting) if it is an attracting Fxed point of f k (iii) repelling if it is a repelling Fxed point of f k ....
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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.
 Fall '11
 Dr.Gwartney
 Economics

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