Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 2.4, Problem 3E
Interpretation Introduction

Interpretation:

By using linear stability analysis, fixed points of the x˙ = tan x are to be determined. If the linear stability analysis fails to find the fixed points of the system, use a graphical argument to decide the stability.

Concept Introduction:

Determine the fixed point for the equation x˙ = tan x. The condition for a fixed point is x˙=0

If f  (x*) < 0, fixed points will be stable.

If f (x*) > 0, fixed points will be unstable.

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