Simple Pendulum

theta'' = -(g/L) sin(theta) - b*theta' -- the real nonlinear pendulum, not the small-angle approximation.

T_small = 2*pi*sqrt(L/g) = 2.46 s (small-angle approx)
theta = 60.0 deg
omega = 0.00 rad/s
at large theta0 the real period exceeds T_small