Solution Found!
Solution: In Exercises 9–14, classify the origin as an
Chapter 5, Problem 10E(choose chapter or problem)
QUESTION:
Problem 10E
In Exercises 9–14, classify the origin as an attractor, repeller, or saddle point of the dynamical system
Find the directions of greatest attraction and/or repulsion.
Questions & Answers
QUESTION:
Problem 10E
In Exercises 9–14, classify the origin as an attractor, repeller, or saddle point of the dynamical system
Find the directions of greatest attraction and/or repulsion.
ANSWER:
Solution 10E
Step 1
Consider the following dynamical system:
, where .
To find the solution for the equation , first find the Eigen values of are the corresponding eigenvectors.
Compute the characteristic polynomial of the matrix :
The roots of the characteristic polynomial are the Eigen values of the matrix .