Parametric Curve(s)

$$$ \forall\alpha\in\{0,10\pi\}\quad\; k_{a}\in \mathbb{Z}\quad-3\leqslant\;k_{a}\;\leqslant3\quad\; k_{b}\in \mathbb{N}\quad0\leqslant\;k_{b}\;\leqslant3$$$
$$$ \left \{ \begin{array}{r c l} \theta(\alpha)& = &\alpha \\ r(\alpha)& = &0.2\times\left (\sin^2{(-0.4\cdot\alpha)}+\cos^2{(0.8+k_{a}\cdot\,k_{b}\cdot\alpha)}\right ) \end{array}\right .$$$