Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
bartleby

Videos

Question
Book Icon
Chapter 2.7, Problem 5E
Interpretation Introduction

Interpretation:

To identify all the equilibrium points and their stability for the vector field x˙ = - sinh x . Plot the function V(x).

Concept Introduction:

Potential is x˙ = f(x) = -dVdx

The minima of  V(x)   are the stable equilibrium points, maxima are unstable points.

Blurred answer
Students have asked these similar questions
Let r(t) be a vector-valued function such that the magnitude of r(t) does not change over time. Use derivatives to show that the derivative r'(t) is perpendicular to the function r(t) for all times t.
Consider z = f(x,y) = x2 + 3xy + e2y. Find the equation of the tangent when x = 1 and y = 0.   Find the linear approximation when x =1 and y = 0. (24) Find the differential df Find the differential df when x = 1 and y = 0. Find the directional derivative of f(x,y) at (1,0) in the direction towards (3,2)
dy =x-Y. Consider the differential equation dx a) What is the slope of the direction field at the point (-1.5, -1.5) ? b) What is the slope of the direction field at the point (-0.5, 1.5) ? c) What is the slope of the direction field along the x-axis? Enter a number or an expression. d) What is the slope of the direction field along the y-axis? Enter a number or an expression. e) Use your answers above to choose the correct direction field for the differential equation. III/ 1117/ 1117/ || | // -²¹, 111/1. III/ ¹+ 111/42- IQ 1 I - 1²₁ VAI NATI NAII SI C M
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
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