Based on the generalized Tsallis entropy and holographic hypothesis, the Tsallis agegraphic dark energy (TADE) was proposed by introducing the timescale as infrared cutoff. In this paper, we analyze the evolution of the universe in the TADE model and the new Tsallis agegraphic dark energy (NTADE) model by considering an interaction between dark matter and dark energy as \(Q=H(\alpha \rho _{m}+\beta \rho _{D})\). Through the phase space and stability analysis, we find an attractor which represents a late-time accelerated expansion phase can exist only in NTADE model. When \(0\le \alpha <1\) and \(\beta =0\), this attractor becomes a dark energy dominated de Sitter solution and the universe can eventually evolve into an accelerated expansion era which is depicted by the \(\Lambda \) cold dark matter model. Thus, the expansion history of the universe can be depicted by the NTADE model.

基于广义Tsallis熵和全息假设，引入时间尺度作为红外截止时间，提出了Tsallis年龄暗能量(TADE)。在本文中，我们通过将暗物质和暗能量之间的相互作用视为\(Q=H(\alpha \rho _{m }+\beta \rho _{D})\)。通过相空间和稳定性分析，我们发现代表后期加速膨胀相的吸引子只能存在于NTADE模型中。当\(0\le \alpha <1\)和\(\beta =0\)，这个吸引子成为暗能量主导的德西特解，宇宙最终可以演化成一个加速膨胀的时代，这由\(\Lambda\)冷暗物质模型描述。因此，宇宙的膨胀历史可以用 NTADE 模型来描述。