In this paper, we study the late time cosmology of a non-canonical scalar field ($k$-essence) coupled to a vector field in a Bianchi-I background. Specifically, we study three cases: canonical scalar field (quintessence) with exponential potential as a warm up, the dilatonic ghost condensate, and the Dirac Born Infeld field with exponentials throat and potential. By using a dynamical system approach, we show that anisotropic dark energy fixed points can be attractors for a suitable set of parameters of each model. We also numerically integrate the associated autonomous systems for particular initial conditions chosen in the deep radiation epoch. We find that the three models can give an account of an equation of state of dark energy close to $-1$ nowadays. However, a non-negligible spatial shear within the current observational bounds is possible only for the quintessence and the Dirac Born Infeld field. We also find that the equation of state of dark energy and the shear oscillate at late times, whenever the coupling of the $k$-essence field to the vector field is strong enough. The reason of these oscillations is explained in the appendix.

在本文中，我们研究了非典型标量场的晚期宇宙学（$克$-essence) 耦合到 Bianchi-I 背景中的矢量场。具体来说，我们研究了三个案例：具有指数势作为热身的典型标量场（精华）、膨胀的幽灵凝聚，以及具有指数喉咙和势的 Dirac Born Infeld 场。通过使用动力学系统方法，我们表明各向异性暗能量固定点可以成为每个模型的一组合适参数的吸引子。我们还针对在深辐射时代选择的特定初始条件对相关的自治系统进行了数值积分。我们发现这三个模型可以给出接近于的暗能量状态方程$-1$如今。然而，当前观测范围内的不可忽略的空间切变仅适用于精华和 Dirac Born Infeld 场。我们还发现暗能量状态方程和剪切力在后期振荡，每当$克$- 本质场到矢量场足够强。这些振荡的原因在附录中解释。