丛林宇宙
The Jungle Universe
摘要：
在本文中，我们利用这样一个事实，即均匀和各向同性的Friedmann-Lemaitre宇宙的动力学是一个特殊的情况下，广义Lotka-Volterra系统的竞争物种是正压流体填充宇宙。没有这些流体之间的耦合，洛特卡-沃尔泰拉公式提供了一个教学和简单的方式来解释通常的弗里德曼-勒梅特宇宙动力学。一个自然的和物理的宇宙流体之间的耦合，提出了保持动力学方程的结构。利用Lotka-Volterra动力学的标准工具，我们得到了其中一种流体与暗能量耦合时系统的广义李雅普诺夫函数.这提供了一个严格的形式，在耦合物种的存在下，宇宙膨胀的一般渐近行为，超出了标准的德西特，爱因斯坦-德西特和米尔恩宇宙学。最后，我们推测，混沌可以出现至少四个相互作用的流体。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
