EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 7.2, Problem 8E
Interpretation Introduction

Interpretation:

To show that the trajectory of the gradient system always crosses the equipotential surfaces at right angles except at fixed point.

Concept Introduction:

The equipotential surfaces mean that potential on every point on the surface is the same.

The gradient operator in two dimensions

=i^x+j^y

The two curves are perpendicular to each other if their dot product is zero.

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