Determine the nature of the origin (attractor, repeller,

Chapter 5, Problem 8E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Determine the nature of the origin (attractor, repeller, or saddle point) for the dynamical system if A has the properties described in Exercise 2. Find the directions of greatest attraction or repulsion.Reference:Suppose the eigenvalues of a 3 × 3 matrix A are 3, 4/5, and

Questions & Answers

QUESTION:

Determine the nature of the origin (attractor, repeller, or saddle point) for the dynamical system if A has the properties described in Exercise 2. Find the directions of greatest attraction or repulsion.Reference:Suppose the eigenvalues of a 3 × 3 matrix A are 3, 4/5, and

ANSWER:

Solution 8EStep 1 Consider the dynamical system: ,where is a matrix with Eigenvalues and the Eigenvectors are, .Here, one of the Eigenvalue 3 is greater than 1 in magnitude and an Eigenvalues are less than 1 in magnitude, therefore origin is a saddle point for the dynamical system.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back