标题： 符号切换相互作用暗能量模型的相空间分析 显示英文标题

标题： Phase space analysis of sign-shifting interacting dark energy models

摘要： 非引力相互作用理论，即无压暗物质（DM）和暗能量（DE）之间的相互作用，是一个在宇宙学领域中具有丰富现象的领域，并且在该领域内受到了极大的关注。 在本文中，我们考虑了一些具有新特征的相互作用情景：相互作用函数不依赖于宇宙的外部参数，而是依赖于暗组分的内在性质；能量在DM和DE之间的单向流动假设被扩展，允许双向能量流动的可能性，这种双向流动由一些符号变化的相互作用函数来表征；并且DE的状态方程被认为要么是常数，要么是动态的。 所有这些都为这一背景增添了新的要素，我们对每种相互作用情景进行了相空间分析，以了解它们的整体行为。 根据文献中的现有记录，这种综合图景尚未在其他地方报道过。 从分析中，我们观察到DE的状态方程以及相互作用模型的耦合参数可以显著影响临界点的性质。 已经发现，在这些提出的符号变化相互作用情景中，可以获得稳定的晚期吸引子，这些吸引子可能对应于宇宙加速膨胀的全局吸引子。 这项研究的整体结果清楚地表明，符号变化的相互作用函数在宇宙动力学背景下非常有吸引力，并且值得进一步关注。 显示英文摘要

摘要： The theory of non-gravitational interaction between a pressure-less dark matter (DM) and dark energy (DE) is a phenomenologically rich cosmological domain which has received magnificent attention in the community. In the present article we have considered some interacting scenarios with some novel features: the interaction functions do not depend on the external parameters of the universe, rather, they depend on the intrinsic nature of the dark components; the assumption of unidirectional flow of energy between DM and DE has been extended by allowing the possibility of bidirectional energy flow characterized by some sign shifting interaction functions; and the DE equation of state has been considered to be either constant or dynamical in nature. These altogether add new ingredients in this context, and, we performed the phase space analysis of each interacting scenario in order to understand their global behaviour. According to the existing records in the literature, this combined picture has not been reported elsewhere. From the analyses, we observed that the DE equation of state as well as the coupling parameter(s) of the interaction models can significantly affect the nature of the critical points. It has been found that within these proposed sign shifting interacting scenarios, it is possible to obtain stable late time attractors which may act as global attractors corresponding to an accelerating expansion of the universe. The overall outcomes of this study clearly highlight that the sign shifting interaction functions are quite appealing in the context of cosmological dynamics and they deserve further attention.