Chapter 5.1, Problem 13E

Interpretation Introduction

Interpretation:

To think on saddle point. Why are they given that name? If there is any connection between real saddles, explain it.

Concept Introduction:

A two dimensional linear system is a system of the form $\dot{\text{x}}\text{ = a+by}$, where $\text{a, b,c, d}$ are parameters.

A saddle point can be defined as a point on a graph that is neither a local minimum nor a local maximum.

At the saddle point, the partial derivatives of $\text{x}$ and $\text{y}$ are both equal to zero.