Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 5.2, Problem 9E
Interpretation Introduction
Interpretation:
Find characteristic polynomial for system of linear equations,
For the given system of linear equations, the general solution is found.
Classify the fixed points at the origin.
Concept Introduction:
For two dimensional linear system, the equations are
The above linear system is expressed in the form
The standard characteristics polynomials is
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Find fhe inverge of the 2x2 matrix
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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.
EXER 13.2
a b
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gh
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a. det(3G)
b. det(G¹)
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d. det((2G)*¹)
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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