EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
bartleby

Videos

Question
Book Icon
Chapter 3.1, Problem 4E
Interpretation Introduction

Interpretation:

For x˙ = r + 12 x - x1+x all the qualitative different vector field is to be sketched that occurs as r is varied. Also shown the all saddle-node bifurcation occurs at a critical value of r.

Concept Introduction:

The saddle-node bifurcation is the basic mechanism by whichfixed points are created and destroyed.

As a parameter is varied, two fixed points move towards each other, collide, and mutually annihilate. Where r is a parameter which may be positive, negative, or zero.

Solve the given equation x˙ = r + 12 x - x1+x for x and then we got parameter as r = 32 ± 22.

Blurred answer
Students have asked these similar questions
The general solution X'=Ax is given. Discuss the nature of the solutions in a neighborhood of (0,0) -2-2 (²) |a) A = (23) X(A) = (₁ (fi)e* + (2 (2) eht -2-5
Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.
Using the method of joints, determine the force in each member of the truss shown. Summarize the results on a force summation diagram, and indicate whether each member is in tension or compression. You may want to try the "quick" method hod.16 8m T or C CD CE AB EF BF гид B 6m i force in CE only (change top force to 8kn) 8 KN 8kN
Knowledge Booster
Background pattern image
Advanced Math
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Text book image
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Text book image
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Basic Technical Mathematics
Advanced Math
ISBN:9780134437705
Author:Washington
Publisher:PEARSON
Text book image
Topology
Advanced Math
ISBN:9780134689517
Author:Munkres, James R.
Publisher:Pearson,
Basic Differentiation Rules For Derivatives; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=IvLpN1G1Ncg;License: Standard YouTube License, CC-BY