• Pendulum
• Double well
• Lennard-Jones
• Circular Landau oscillator

Double Well

$$U(x)=x^4-2a^2{x}^2,a=\frac{1}{2}$$ The graphs below show the potential, and the phase space of a particle submitted to the double well potential. The energy can be adjusted with the slider below and exhibit the different types of motion:

• for $E\in (-a^2,0)$: oscillations around one well
• for $E\in (0,\mathrm{\infty })$: oscillations around both wells
• for $E=0$: separatrix: the system requires an infinite amount of time to reach 0. Because of numerical errors in the simulation the time is not infinite, but large.

Energy: - + E=-0.5

Stop!