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April 26th, 2009, 06:59 AM   #1
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problem in chaos

I came across this question where U(n+1) = G(U(n)) = U(n) + Dt U(n)^2 (U(n)-1)(U(n)-2) where n >= 0 where Dt >0 and
U(0) = U and we have to show that this equation defines a Discrete dynamical system in R(i.e. real line).
Also how can one find the fixed points of U(n+1) and their stability. thanks, any help or hints will be much appreciated.
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