Find the equilibrium state of the dynamical system Xn+1 = 0.4xn+0.4yn, Yn+1 = 0.6xn +0.6yn- By equilibrium state, we mean find a vector vo (xo, yo) such that vn vo for all n. Of all possible answers for vo, give the unique answer which has entries that sum to 1.
Find the equilibrium state of the dynamical system Xn+1 = 0.4xn+0.4yn, Yn+1 = 0.6xn +0.6yn- By equilibrium state, we mean find a vector vo (xo, yo) such that vn vo for all n. Of all possible answers for vo, give the unique answer which has entries that sum to 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the equilibrium state of the dynamical system
Xn+1
0.4xn + 0.4yn,
Yn+1
0.6xn + 0.6yn.
By equilibrium state, we mean find a vector v = (x0, Yo) such that in = vo for all n. Of all possible answers for vo, give the unique
answer which has entries that sum to 1.
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