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.

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Bibliographic Details
Published in:Symmetry (Basel) 2021-04, Vol.13 (4), p.704
Main Authors: Dussault, Steve, Faraoni, Valerio, Giusti, Andrea
Format: Article
Language:English
Subjects:
Analogies
Cosmology
Energy
Geometry
logistic equation
Ordinary differential equations
relativistic cosmology
Relativistic effects
Spacetime
Symmetry
Theory of relativity
Universe
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Description
Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13040704