# Dynamical Analysis of an Integrable Cubic Galileon Cosmological Model

## TL;DR

This paper investigates the critical points and gravitational effects of an integrable cubic Galileon cosmological model, revealing new solutions and insights into its dynamical behavior.

## Contribution

It provides a detailed dynamical analysis of an integrable cubic Galileon model, including new critical points and gravitational effects, expanding understanding of its cosmological implications.

## Key findings

- New critical points identified in the model
- Analysis of gravitational effects from the cubic term
- Insights into the integrability and dynamics of the model

## Abstract

Recently a cubic Galileon cosmological model was derived by the assumption that the field equations are invariant under the action of point transformations. The cubic Galileon model admits a second conservation law which means that the field equations form an integrable system. The analysis of the critical points for this integrable model is the main subject of this work. To perform the analysis, we work on dimensionless variables different from that of the Hubble normalization. New critical points are derived while the gravitational effects which follow from the cubic term are studied.