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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 40E
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Question
![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.
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa675c9e5-0673-47f3-ba0b-345bd67269dd%2Fc4750653-b7f5-4ead-96f9-5563b64d2e37%2Fv4vnnt6_processed.png&w=3840&q=75)
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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