Consider the following dynamical system in discrete time: 1₁-1 (1²-13-1) 3/ - (3²-1) It+1 ye+1 a) Find the stationary solutions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Consider the following dynamical system in discrete time:
I - (1? – lu - })
It+1
Y - 1 (v7 – 1)
Ye+1
a) Find the stationary solutions.
b) Verify if the stationary solutions are locally asymptotically stable.
Transcribed Image Text:Consider the following dynamical system in discrete time: I - (1? – lu - }) It+1 Y - 1 (v7 – 1) Ye+1 a) Find the stationary solutions. b) Verify if the stationary solutions are locally asymptotically stable.
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