Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
expand_more
expand_more
format_list_bulleted
Question
Chapter 5.2, Problem 6E
Interpretation Introduction
Interpretation:
Find the characteristic polynomial for the system of linear equations
To find the general solution for the given system of linear equations.
Classify the fixed points at the origin.
Concept Introduction:
Equations for the two dimensional linear system are
Above linear system expressed in the form
The standard characteristics polynomials is,
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find fhe inverge of the 2x2 matrix
Cos &
Sin t
- 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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- Graph the phase portrait of the system..arrow_forwardShow every step of the problem. That is the only way I will be able to understand the step you took to solve the problem. Directions: Find the characteristics equation, the eigenvalues and bases for the eigenspaces of the matrix.arrow_forwardConsider the dynamical system Yk=1 = log (yk) + Yk- Which of the following statements is true about the dynamical system? O The dynamical system has infinite fixed points. The dynamical system has only one fixed points. The dynamical system has.no fixed points.arrow_forward
- Calculate the determinant.arrow_forwardDescribe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 3x, + 3x2 + 6x3 = 12 - 6x, - 6x2 - 12x3 = - 24 - 7x + 14x3 = 14 3x, + 3x, + 6x3 = 0 - 6x, - 6x2 - 12x3 = 0 - 7x2 + 14x3 = 0arrow_forwardS + 3y - 2r =0 (b) Express the as a first order system, and then find the eigen- values.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Lecture 46: Eigenvalues & Eigenvectors; Author: IIT Kharagpur July 2018;https://www.youtube.com/watch?v=h5urBuE4Xhg;License: Standard YouTube License, CC-BY
What is an Eigenvector?; Author: LeiosOS;https://www.youtube.com/watch?v=ue3yoeZvt8E;License: Standard YouTube License, CC-BY