Analogies between Logistic Equation and Relativistic Cosmology

We develop several formal analogies between the logistic equation and the spatially homogeneous and isotropic relativistic cosmology described by the Einstein-Friedmann equations. These analogies produce an effective Lagrangian and Hamiltonian and new symmetries for the logistic equation.

Automated summary

This study establishes formal analogies between the logistic equation and homogeneous, isotropic relativistic cosmology, leading to the discovery of new symmetries.