This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 1 ,y 2 } is called a periodic orbit. Geometrically, a k-periodic point For the discrete system y t + 1 = f ( y t ) is the y-coordinate oF the point where the graph oF f k ( y ) meets the diagonal line y t + 1 = y t . Thus, a three-period 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 k-period 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 ....
View Full Document
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