To identify all equilibrium points and their stability for the vector field x . = r + x - x 3 . Plot the function V(x) . Concept Introduction: Potential is x ˙ = f(x) = - dV dx The points of minima in V(x) function are the stable equilibrium points, and points of maxima are the points of unstable equilibrium.

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Chapter 2.7, Problem 6E

Interpretation Introduction

Interpretation:

To identify all equilibrium points and their stability for the vector field x. = r + x - x3. Plot the function V(x).

Concept Introduction:

Potential is x˙ = f(x) = -dVdx

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

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