Projects per year
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.
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 language | English |
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Place of Publication | Namur |
Publisher | Namur center for complex systems |
Number of pages | 18 |
Volume | 4 |
Edition | 5 |
Publication status | Published - 4 Jun 2013 |
Publication series
Name | naXys Technical Report Series |
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Publisher | University of Namur |
No. | 5 |
Volume | 4 |
Fingerprint
Dive into the research topics of 'The Jungle Universe and its Twisting Species'. Together they form a unique fingerprint.Projects
- 2 Finished
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PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)
Winkin, J. (CoI), Blondel, V. (PI), Vandewalle, J. (CoI), Pintelon, R. M. (CoI), Sepulchre, R. (CoI), Vande Wouwer, A. (CoI) & Sartenaer, A. (CoI)
1/04/12 → 30/09/17
Project: Research
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ARCCOS - ARC11/15-040: The Interplay between dark energy and primordial inflation
Fuzfa, A. (PI) & Ringeval, C. (CoI)
1/09/11 → 31/08/15
Project: Research
Student theses
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The Jungle Universe
Melot, L. (Author)Fuzfa, A. (Supervisor) & Pérez, J. (Co-Supervisor), 30 Jun 2012Student thesis: Master types › Master in Mathematics