# Dynamical System Analysis of Brane Induced Gravity with Tachyon Field

## TL;DR

This paper uses dynamical system methods to analyze the linear behavior of a DGP brane-world model with a tachyon field, revealing critical submanifolds that show the influence of extra dimensions.

## Contribution

It applies the dynamical system approach to a brane-world model with a tachyon field, highlighting the effects of extra dimensions on the system's critical points.

## Key findings

- Identification of critical submanifolds influenced by extra dimensions
- Analysis of tachyon potential with parameter $rac{}{}$ approaching infinity
- Insights into the linear dynamics of the dark energy component in brane-world scenarios

## Abstract

In this manuscript we use the dynamical system approach to study the linear dynamics of a normal DGP brane-world model with a tachyon field as the dark energy component. Our focus is on a Gaussian tachyonic potential in which the parameter $\lambda=-V_\phi/V^{3/2}$, goes to infinity. One of the most important results of this study is that we find critical submanifolds which indicate the effect of extra dimension.