Nonlinear Driven Damped Oscillation

Schematic of the system

Rescaled equation of motion

$$\frac{d^2\theta}{dT^2}=-\gamma\frac{d\theta}{dT}-b_1\sin\theta+b_2\cos\theta\cos (2\pi T)$$

---

Bifurcation diagram for a specific set of initial conditions

---

$b_2=95.0$

$\theta-t$ plot

---

2D projection of the phase space

---

Basins of attraction

---