The Jungle Universe and its Twisting Species

Jérome Perez, André Füzfa, Timoteo Carletti, Laurence Melot, Sêcloka Lazare Guedezounme

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Résumé

In this paper, we show that the dynamics of homogeneous and isotropic Friedmann-
Lematre universes can be studied with population dynamics, in particular with the generalized Lotka-Volterra equation where the competitive species are the barotropic fluids filling the Universe. Without coupling between those fluids, Lotka-Volterra formulation offers a pedagogical way to interpret usual Friedmann-Lematre cosmological dynamics. When the cosmological fluids are coupled however, we establish new dynamical properties of Friedmann-Lematre universes consisting of cycles between its interacting components. This provides a new asymptotic behavior for cosmic expansion in presence of coupled species, beyond the standard de Sitter, Einstein-de Sitter and Milne cosmologies. Finally, we conjecture that chaos can appear for at least four interacting fluids.
langue originaleAnglais
Lieu de publicationNamur
EditeurNamur center for complex systems
Nombre de pages18
Volume4
Edition5
Etat de la publicationPublié - 4 juin 2013

Série de publications

NomnaXys Technical Report Series
EditeurUniversity of Namur
Numéro5
Volume4

mots-clés

  • dynamical systems, cosmology, population dynamics

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  • The Jungle Universe

    Author: Melot, L., 30 juin 2012

    Superviseur: Fuzfa, A. (Promoteur) & Pérez, J. (Personne externe) (Copromoteur)

    Thèse de l'étudiant: Master typesMaster en sciences mathématiques

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