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Unformatted text preview: solutions, i the model is initialized with population values near A fixed , L fixed , and P fixed , it will converge to these equilibrium values. CHALLENGE 26.3. The biurcation diagram is shown in Figure 26.3. The largest tested value o A that gives a stable solution is 0 . 58. I the computation were perormed in exact arithmetic, the graph would just be a plot o L fixed vs. A . When the solution is stable, rounding error in the computation produces a nearby point rom which the iteration tends to return to the xed point. When the solution is unstable, rounding error in the computation can cause the computed solution to drit away. Sometimes it produces a solution that oscillates between two values (or example, when A = 0 . 72) and sometimes the solution becomes chaotic or at least has a long cycle (or example, when A = 0 . 94). 155...
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This note was uploaded on 01/21/2012 for the course MAP 3302 taught by Professor Dr.robin during the Fall '11 term at University of Florida.
- Fall '11