Lissajous (/ˈlɪsəʒuː/) curves or also Lissajous figures or even Bowditch curves are the family of curves described by the following parametric equations
$$
x(t) = A \cos{\left(\omega_x t - \delta_x\right)} \\
y(t) = B \cos{\left(\omega_y t - \delta_y\right)}
$$
sometimes also written in the form
$$
x(t) = a \sin{\left(\omega t + \delta\right)} \\
y(t) = b \sin{t}.
$$
Lissajous curves find applications in physics, astronomy, and other sciences.