Solution Found!
In Exercises 9–14, classify the origin as an attractor,
Chapter 5, Problem 12E(choose chapter or problem)
QUESTION:
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:
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 12EStep 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 .