# Steady state of discrete logistic model

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Thread starter 4 weeks ago
#1
I'm unsure how to find the steady state of a piecewise model.
I know for a steady state N*
N*=F(N*)
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4 weeks ago
#2
(Original post by NoahMal)
I'm unsure how to find the steady state of a piecewise model.
I know for a steady state N*
N*=F(N*)
If you draw it, it's the intersection of the tent map with y=x, where y is x_(n+1) and x is x_n.
Or do the algebra with x_n = x_(n+1) = x^*
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Thread starter 4 weeks ago
#3
(Original post by mqb2766)
If you draw it, it's the intersection of the tent map with y=x, where y is x_(n+1) and x is x_n.
Or do the algebra with x_n = x_(n+1) = x^*
This is the tent map I have sketched does it seem right?
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4 weeks ago
#4
(Original post by NoahMal)
This is the tent map I have sketched does it seem right?
Yes. You may want to think about what happens for different values of mu.
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