标题： 共incidence$f(Q)$引力的狄拉克-博恩-英费尔德标量场宇宙学的动力系统分析 显示英文标题

标题： Dynamical system analysis of Dirac-Born-Infeld scalar field cosmology in coincident $f(Q)$ gravity

摘要： 本文中，我们在修正的$f(Q)$引力背景下，对DBI（Dirac-Born-Infeld）标量场的动力系统进行了分析。我们采用了一种多项式形式的修正引力，并使用了两种不同的标量势，即多项式势和指数势，从而得到了一个封闭的自治动力学方程组。我们分析了该系统的不动点，并讨论了在这种模型中减速到晚期加速的条件。我们注意到两个模型之间的相似性，并且还表明我们的结果确实与之前关于爱因斯坦引力的研究一致。此外，我们通过绘制状态方程参数（$\omega$）、能量密度（$\Omega$）和减速参数（$q$）相对于e折叠时间的变化图，并将其与当前观测值进行比较，研究了我们模型的唯象学意义。最后，我们通过观察修正的$f(Q)$引力中动力系统分析的不同之处来总结全文，并提供了我们工作的未来研究方向。 显示英文摘要

摘要： In this article, we offer the dynamical system analysis of the DBI (Dirac-Born-Infeld) scalar field in a modified $f(Q)$ gravity context. We have taken a polynomial form of modified gravity and used two different kinds of scalar potential, i.e., polynomial and exponential, and found a closed autonomous dynamical system of equations. We have analyzed the fixed points of such a system and commented on the conditions under which deceleration to late-time acceleration happens in this model. We have noted the similarity of the two models and have also shown that our result is indeed consistent with the previous work done on Einstein's gravity. We have also investigated the phenomenological implications of our models by plotting the EoS ($\omega$), Energy density ($\Omega$), and deceleration parameter ($q$) w.r.t. to e-fold time and comparing with the present value. Finally, we conclude the paper by observing how the dynamical system analysis differs in modified $f(Q)$ gravity, and we also provide some of the future scope of our work.