A Canonical Lagrangian Formulation of the Two-Dimensional Lotka-Volterra System
This paper derives a canonical Lagrangian formulation for the two-dimensional Lotka-Volterra predator-prey system directly from its Hamiltonian, revealing a mechanical interpretation of the dynamics as a particle in a potential well with position-dependent damping or "revving," and verifies the construction by identifying the system's Hamiltonian as the conserved quantity via Noether's theorem.
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