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Recursive relation near fixed point

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Reference no: EM13131356

Observe that (0,0) is a fixed point of the system:

x_(n+1) = u*x_n - y_n + (y_n)^2

y_(n+1) = x_n + (x_n)^4 + y_n

Regardless of the choice of parameter u. Determine the range of u values for which this fixed point is stable.

Reference no: EM13131356

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