Analogies between logistic equation and relativistic cosmology

Abstract

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.

arXiv comment12 pages, no figures. Invited paper to appear in special issue of Symmetry