The Jungle Universe

Abstract

In this paper, we exploit the fact that the dynamics of homogeneous and isotropic Friedmann-Lemaitre universes is a special case of generalized Lotka-Volterra system where the competitive species are the barotropic fluids filling the Universe. Without coupling between those fluids, Lotka-Volterra formulation offers a pedagogical and simple way to interpret usual Friedmann-Lemaitre cosmological dynamics. A natural and physical coupling between cosmological fluids is proposed which preserve the structure of the dynamical equations. Using the standard tools of Lotka-Volterra dynamics, we obtain the general Lyapunov function of the system when one of the fluids is coupled to dark energy. This provides in a rigorous form a generic 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.

26 pages, 4 figures

References in corpus (3)

• Dynamics of dark energy
• Dynamics of interacting dark energy
• Interacting Cosmological Fluids and the Coincidence Problem

Cited by in corpus (15)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Dynamical analysis and statefinder of Barrow holographic dark energy
• Order out of Randomness : Self-Organization Processes in Astrophysics
• Global dynamics and inflationary center manifold and slow-roll approximants
• Dynamical systems in cosmology
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• An Effective Sign Switching Dark Energy: Lotka-Volterra Model of Two Interacting Fluids
• Stasis in an Expanding Universe: A Recipe for Stable Mixed-Component Cosmological Eras
• Dynamics of the diffusive DM-DE interaction--dynamical system approach
• Does the diffusion DM-DE interaction model solve cosmological puzzles?
• Bifurcations in Ratra-Peebles quintessence models and their extensions
• Generalized Model of Interacting Dark Energy and Dark Matter : Phase Portrait Analysis of Evolving Universe
• Late time evolution of negatively curved FLRW models
• Chaotic interactions between dark matter and dark energy
• Qualitative analysis for viscous cosmologies in a non linear regime of the Israel-Stewart formalism