The Jungle Universe and its Twisting Species

Research output: Book/Report/JournalOther report

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Abstract

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.
Original languageEnglish
Place of PublicationNamur
PublisherNamur center for complex systems
Number of pages18
Volume4
Edition5
Publication statusPublished - 4 Jun 2013

Publication series

NamenaXys Technical Report Series
PublisherUniversity of Namur
No.5
Volume4

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twisting
tropical regions
universe
fluids
Volterra equations
chaos
formulations
cycles
expansion

Cite this

Perez, J., Füzfa, A., Carletti, T., Melot, L., & Guedezounme, S. L. (2013). The Jungle Universe and its Twisting Species. (5 ed.) (naXys Technical Report Series; Vol. 4, No. 5). Namur: Namur center for complex systems.
Perez, Jérome ; Füzfa, André ; Carletti, Timoteo ; Melot, Laurence ; Guedezounme, Sêcloka Lazare. / The Jungle Universe and its Twisting Species. 5 ed. Namur : Namur center for complex systems, 2013. 18 p. (naXys Technical Report Series; 5).
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Perez, J, Füzfa, A, Carletti, T, Melot, L & Guedezounme, SL 2013, The Jungle Universe and its Twisting Species. naXys Technical Report Series, no. 5, vol. 4, vol. 4, 5 edn, Namur center for complex systems, Namur.

The Jungle Universe and its Twisting Species. / Perez, Jérome; Füzfa, André; Carletti, Timoteo; Melot, Laurence; Guedezounme, Sêcloka Lazare.

5 ed. Namur : Namur center for complex systems, 2013. 18 p. (naXys Technical Report Series; Vol. 4, No. 5).

Research output: Book/Report/JournalOther report

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AB - 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.

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Perez J, Füzfa A, Carletti T, Melot L, Guedezounme SL. The Jungle Universe and its Twisting Species. 5 ed. Namur: Namur center for complex systems, 2013. 18 p. (naXys Technical Report Series; 5).