Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 3.4, Problem 5E
Interpretation Introduction

Interpretation:

The value of r  at which bifurcation occurs is to be determined and the bifurcation is to be classified as saddle-node, transcritical, subcritical pitchfork or supercritical pitchfork bifurcation. Also, bifurcation diagram of fixed points x* vs. r is to be sketched.

Concept Introduction:

By changing the parameter, the fixed points move towards each other, collide and mutually annihilate is known as saddle-node bifurcation.

The stabilities of the fixed points interchanged by changing the parameter is known as transcritical bifurcation.

When the single stable fixed point is present and it turns to an unstable fixed point due to change in parameter and two new symmetric stable fixed points occurs is called supercritical pitchfork bifurcation.

When the single unstable fixed point is present and it turns to a stable point due to change in parameter and two new symmetric unstable fixed points occurs is called subcritical pitchfork bifurcation.

Blurred answer
Students have asked these similar questions
Q3. The distribution for the working lifetime of light bulbs, manufactured in a company, is found to be normally distributed with a mean of 1450 hours and a standard deviation of 60 hours. a) In this distribution, find the life time of a lightbulb whose z-score is -1.8? b) Which percentage of lightbulbs have life time less than 1400 hours? c) Which percentage of lightbulbs have life time greater than 1500 hours? d) Which percentage of lightbulbs have life time between 1420 to 1500 hours?
Q4. Considering the following two normal distributions A and B, which statement (or statements) is correct? a) Mode of the distribution A is larger than that of distribution B. b) SD of the distribution B is larger than that of distribution A. c) Mean of the distribution A is smaller than that of distribution B. d) A data item with z-score of -1 falls between 20 to 30 in distribution A. e) A data item with z-score of +1 falls between 10 to 20 in distribution B. A 0 10 20 30 40 40 50 60 00 10 70 B 80 90 100
Q1. A traffic camera recorded number of red cars going through the intersection at 16th Ave N and Centre St. each day over 7 days was: 32 30 24 30 36 38 27 a) Calculate the mean, mode, range and median of the data set above. c) Calculate the standard deviation of this data set. S
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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY