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Unformatted text preview: < f < 1. Use parametric x-y plots to nd where period doubling transitions occur.] What happens to the solutions when n = 1? Briey explain. (b) The case of n = 3 is particularly interesting. Repeat part (a) for this case and show that period doubling rst occurs near f = 0 . 69 and that the solution appears to become chaotic near f = 0 . 80. Be careful to make sure that the initial transients have died out; this can be a little tricky as the value of f is increased. Investigate what happens as f is increased from 0.80 to 0.90 and show that the x-y orbits become less complex at some point. What happens as f is increase above 0.9? Do the solutions go through another period doubling sequence?...
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This note was uploaded on 12/29/2011 for the course ENGR 5a taught by Professor Brewer during the Fall '09 term at UCSB.
- Fall '09
- Chemical Engineering