Chapter 8.4, Problem 2E

Interpretation Introduction

Interpretation:

The bifurcation of the system $\dot{\text{r}}\text{ = r(μ - sinr), }\dot{\text{θ}}\text{ = 1}$ as $\text{μ}$ varies is to be discussed.

Concept Introduction:

A supercritical Hopf bifurcation occurs at a fixed point when a stable spiral changes into an unstable spiral at that point.

A supercritical Hopf bifurcation occurs when the size of the limit cycle grows continuously from zero.