\( \text{ \color{midnightblue}{Equation of Motion:} }\) \( \color{maroon}{\ddot{x} + c \dot{x} + (1 - x^2) = 0, \quad x(0) = x_0, \quad \dot{x}(0) = v_0}\)
\( \text{ \color{midnightblue}{Potential Function:} }\) \( \color{maroon}{U(x) = x - \dfrac{1}{3}x^3 }\)