Chapter 8.1, Problem 4E

Interpretation Introduction

Interpretation:

To find the Eigenvalues at the stable fixed point in terms of $\text{μ}$ and to show that one Eigenvalue tends to $0$ as $\text{μ}\to \text{0}$

Concept Introduction:

Fixed point of a differential equation is a point where $\text{f(x*) = 0 ; while substitution f(x*) = }\dot{\text{x}}\text{ is used and x\&*\#x00A0;is a fixed point}$.

Values of a parameters which differential equation have a non-zero solution under given conditions are called Eigenvalues.