双指数势胚宇宙模型的动力学

The dynamics of the brane cosomological model with a double exponential potential

在第二类Randall-Sundrum模型的基础上,将胚上的物质看成是由通常的理想流体和具有双指数势的标量场组成的,利用动力学系统的方法,研究胚的演化,表明胚的晚期渐近行为存在tracking吸引子和quintessence吸引子．同时由插入在不同临界点之间的异宿轨线,发现初始条件的变化对整个晚期行为影响不大．

In this paper, we investigate the evolution of a brahe cosmological model with the brahe density composed of barotropic fluid and a scalar field of a double exponential potential. Using the method of dynamical system , we show that there exists tracking attractors and quintessence attractors during the late - time of asymptotic behavior. Through interpolating the heteroclinic orbit between the critical points ,we find that the whole latetime behaviors are insensitive to the initial condition.