标题： H^2 + H^-2 暗能量模型的动态分析，考虑粘性和相互作用 显示英文标题

标题： Dynamical analysis of the H^2 + H^-2 Dark Energy model considering viscosity and interaction

摘要： 在本研究中，我们进一步发展并研究了从卡尼亚达基斯全息暗能量导出的双参数现象学暗能量模型（H^2 + H^-2 暗能量模型）。 在原始 H^2 + H^-2 暗能量模型（HHDE）的理论基础上，引入了四种类型的粘性与七种类型的相互作用。 这些被成对结合，并对总共 35 种修改的 H^2 + H^-2 粘性相互作用暗能量（MHH-VIDE）模型进行了动力学分析。 HHDE 模型和 MHH-VIDE 模型的优势在于这些模型可以大大缓解哈勃张力并绕过“大撕裂”的潜在问题，暗能量是类Quintom型的。 在本文中，我们对上述具有相互作用和粘性的模型进行了三维动力学分析，测试它们的可行性。 结果表明，这种暗能量的性质更接近时空的属性而非宇宙学组分。 相图分析揭示了一个修正的辐射主导时期、一个过渡的物质主导阶段以及一个对应于暗能量驱动加速阶段的晚期吸引子。 显示英文摘要

摘要： In this study, we further developed and investigated the dual parameter phenomenological dark energy model (H^2 + H^-2 dark energy model) derived from Kaniadakis holographic dark energy. On the theoretical basis of the original H^2 + H^-2 dark energy model (HHDE), four types of viscosities and seven types of interactions were introduced. These were combined pairwise, and a dynamical analysis was conducted on a total of 35 Modified H^2 + H^-2 Viscous Interacting Dark Energy (MHH-VIDE) models. The advantage of the HHDE model and MHH-VIDE models is that these models can greatly relieve the Hubble tension and cicumventing the potential issue of a 'big rip', and the dark energy is Quintom-like. In this article, we performed a three-dimensional dynamical analysis of the aforementioned models with interactions and viscosity, testing their viability. The results suggest that the nature of this dark energy is closer to a property of spacetime than a cosmological component. The phase diagram analysis reveals a modified radiation-dominated epoch, a transitional matter-dominated phase, and a late-time attractor corresponding to the dark-energy-driven acceleration phase.