Using the Barrow entropy and considering the timescale as IR cutoff, a new holographic dark energy model named Barrow agegraphic dark energy (BADE) was proposed. We use phase space analysis method to discuss the evolution of the universe in three different mode of BADE ($Q=0$; $Q=3\alpha H({\rho }_m+{\rho }_D)$; $Q=H(\alpha {\rho }_m+\beta {\rho }_D)$). We find the attractor which represents the dark energy-dominated era exists in all cases. In the case $Q=0$ and $Q=H(\alpha {\rho }_m+\beta {\rho }_D)$ with $\beta =0$, the attractor can behave as the cosmological constant, and these models can used to mimic the cosmological constant.

中文翻译：

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巴罗时代暗能量的相空间分析

利用巴罗熵，将时间尺度作为红外截止值，提出了一种新的全息暗能量模型，称为巴罗年龄暗能量（BADE）。我们用相空间分析的方法来讨论宇宙在三种不同模式下的演化 BADE ($问=0$;$问=3\alpha H({\rho }_{米}+{\rho }_D)$;$问=H(\alpha {\rho }_{米}+\beta {\rho }_D)$）。我们发现代表暗能量主导时代的吸引子在所有情况下都存在。在这种情况下$问=0$和$问=H(\alpha {\rho }_{米}+\beta {\rho }_D)$和$\beta =0$，吸引子可以表现为宇宙常数，这些模型可以用来模拟宇宙常数。