Shelvean Kapita

Particle in a Double Potential Well

\( \text{\color{midnightblue}{Equation of Motion}: } \) \( \color{maroon}{\ddot{x} + c \dot{x} + 4x(x^2 - 1) = 0, \quad x(0) = x_0, \quad \dot{x}(0) = v_0 }\)

\( \text{\color{midnightblue}{Potential Function}: }\) \( \color{maroon} {U(x) = x^4 - 2x^2} \)

Initial Position (\( x_0 \)):
Initial Velocity (\( v_0 \)):
Damping constant (\( c \)):
Double Well Potential Landscape
Phase Space Trajectory