Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 5.2, Problem 8E
Interpretation Introduction
Interpretation:
Find the characteristic polynomial for the system of linear equations
Solve the given system of linear equations and write the general solution.
The fixed points at the origin is to be classified.
Concept Introduction:
The two dimensional linear system equations are
Above linear system expressed in the form
The standard characteristics polynomials is,
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Find fhe inverge of the 2x2 matrix
Cos &
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- Sint
Cos o
EXER 13.2
a b
Assuming that for matrix Gd e f
gh
we have det G=-7. Then find the ff:
a. det(3G)
b. det(G¹)
c. det(2G-¹)
d. det((2G)*¹)
Show every step of the problem. That is the only way I will understand what you did to solve the problem.
Directions: Find the characteristics equation, the eigenvalues and bases for the eigenspaces of the matrix.
Chapter 5 Solutions
Nonlinear Dynamics and Chaos
Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Prob. 6E
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