Given a system of second order difference equations, how do I use Matlab to calculate numerical simulations to determine the asymptotic behavior of the solution?
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Consider the system of second order difference equations n(t+1)=(r*n(t)/1+n(t-1)^5)+0.001. For each of the following values of r, use numerical simulations in Matlab to determine the asymptotic behavior of the solution if n(0)=n(1)=1.
a. r=1.1
b. r=1.3
c. r=1.55
d. r=2.0
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