Chapter 8.4, Problem 1E

Interpretation:

To sketch the waveforms of x(t) and y(t) for the system r˙ = r(1 - r2), θ˙ = μ - sin θ, for μ slightly greater than 1.

Concept Introduction:

Cartesian coordinates can be converted to Polar coordinates by

x = r cos θ, y = r sin θ

Polar coordinates can be converted to Cartesian coordinates by

r = x2 + y2, θ = tan-1(yx)