Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 8.2, Problem 4E
Interpretation Introduction
Interpretation:
To rewrite the system equation
Concept Introduction:
Use polar conversion to rewrite the system equation.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Write the lagrangian in terms of polar coordinates
3x, - 2x, + 4x, = 1
X, + X2 - 2x3 = 3
2x, - 3x, + 6x, = 8
%3D
Select one:
a. no solution
b. parametric representation
C. X, =1,x,=1, X3=0
d. X,=1,x,=3, X3=1
3x, - 2x, + 4x3 = 1
X1 + X, - 2X3 = 3
2x, - 3x, + 6x3 = 8
Select one:
a. X,=1,X,=3, x3=1
b. X,=1,X,=1, Xz=0
C. no solution
d. parametric representation
Chapter 8 Solutions
Nonlinear Dynamics and Chaos
Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.6 - Prob. 1ECh. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8.7 - Prob. 1ECh. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12E
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
- Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.arrow_forwardRewrite the equation in a rotated x′y′-system without an x′y′-term. Use the appropriate rotation formulas. For the equation, x^2+xy+y^2−19=0, answer the following question.arrow_forwardTake the system æ' = 10x? + 10y? + 9xy, y' = e10z + 10y?. The Jacobian matrix is help (formulas) help (matrices)arrow_forward
- 2. Find the values of x, y and z from the system of equations: by using matrix tanz- =7 -1 -y² sin²z+(2-3y²)cos² z = 0arrow_forwardA parametric equation of a line in R3 through the point (zo, yo, zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = 2₁ + ct is 0 x= = (x₁ - x0) + at y = (y₁ - yo) + bt Z= = (2₁-zo) + ct x = x₁ + at y=yo+bt z = 20 + ct tER x = x₁ + (x₁ -xo)t y = yo + (y₁ - yo)t te R z = 20 + (21 - 2o)t tER x= xo + (yoc - zob)t y=yo+ (zoa - xoc)t te R 2= 20 + (zob - yo a)t H= = (xo-x₁) + at y = (30-3₁) + bt z = (20 - 2₁) + ct tER tERarrow_forwardFind polar coordinates with positive r and 0s 0 < 2n for each of the four points. (x, V) = (,8 (a) (r, 0) (b) (w, y) - (-2) (r, 6) = (| 11 (c) (х, у) %3D (r, 0) = 10 (d) (х, у) %3 3 (r, 0) =arrow_forward
- Find a parametric representation of the solution set of the linear equation x+y+z=1 Ox=1-2t, y=t, z = t Ox=1-s-t, y = s, z = t Ox=1-2s, y = s, z = 8 Ox=1+s+t, y=s, z=tarrow_forwardWrite the given second order equation as its equivalent system of first order equations. u" + 5u' + 7u = 0 Use v to represent the "velocity function", i.e. v = Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u'(t). u' = Now write the system using matrices: u d dt Varrow_forward3) Use polar coordinate to evaluate S'S x² + y² dxdy.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Vector Spaces | Definition & Examples; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=72GtkP6nP_A;License: Standard YouTube License, CC-BY
Understanding Vector Spaces; Author: Professor Dave Explains;https://www.youtube.com/watch?v=EP2ghkO0lSk;License: Standard YouTube License, CC-BY