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In the following exercises, classify the origin as an attractor, repeller, or saddle point of the dynamical system k+1 = Ax or state that it is none of the above. Find the directions of greatest attraction and/or repulsion. You may use a calculator to find the eigenvalues and eigenvectors. (a) (b) (c) 0.5 0.4 -0.125 1.1 0.5 0.4 -0.104 1.1 [0.5 0.4] 0 1.1

In the following exercises, classify the origin as an attractor, repeller, or saddle point of the dynamical system k+1 = Ax or state that it is none of the above. Find the directions of greatest attraction and/or repulsion. You may use a calculator to find the eigenvalues and eigenvectors. (a) (b) (c) 0.5 0.4 -0.125 1.1 0.5 0.4 -0.104 1.1 [0.5 0.4] 0 1.1

Advanced Engineering Mathematics
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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. In the following exercises, classify the origin as an attractor, repeller, or saddle point of the dynamical system xk+1 = Ax or state that it is none of the above. Find the directions of greatest attraction and/or repulsion. You may use a calculator to find the eigenvalues and eigenvectors. (a) (b) (c) 0.5 0.4 -0.125 1.1 [-8: 0.5 0.4 -0.104 1.1 [0.5 0.5 0.4 1.1
Transcribed Image Text:. In the following exercises, classify the origin as an attractor, repeller, or saddle point of the dynamical system xk+1 = Ax or state that it is none of the above. Find the directions of greatest attraction and/or repulsion. You may use a calculator to find the eigenvalues and eigenvectors. (a) (b) (c) 0.5 0.4 -0.125 1.1 [-8: 0.5 0.4 -0.104 1.1 [0.5 0.5 0.4 1.1
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