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For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.

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Stable Equilibrium points for 2d Potential

Consider a Lagrangian of the system $$L=\frac{1}{2}m(\dot x^2+\dot y^2)-\frac{1}{2}(x^2+y^2)+2ln|x-y|.$$ Basically I know how to solve for 1d potential and to find stable equilibrium points. But how …
Neelam Sharma's user avatar