Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 2.2, Problem 9E
Interpretation Introduction

Interpretation:

An equation x˙ = f(x) is to be found whose solutions x(t) are consistent with the given figure.

Concept Introduction:

Fixed points are the points where x˙ = 0.

If x(t) approaches asymptotically toward a point, then it is the stable point, and if x(t) moves away from a point, then it is the unstable point.

The point where the flow is towards it is the stable point, and the point where the flow is away from it is called the unstable point.

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Equilibrium Equations: Two-dimensional 2.28 Ra= Rc= 2.29 (change force to 600N) AC= AB= 2.33 CD= AC= DE= BC= Free Body Diagrams 2.34 Ax= Ay=_ Bx= By= 2.36 Ax= Ay= Bx= By= 2.37 (change middle force to 4000 lbs) Ay=_ Dx= Dy=_ 2.38 (change horizontal force to 2 kN) Ax= Ay= Bx= By=_ 2.40 Ay= By= Dx= 32% Bx= Cy= Dy=
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