Dynamical system analysis in descending dark energy model
M. Shahalam, Sania Ayoub, Prakarshi Avlani, Ratbay Myrzakulov · International Journal of Geometric Methods in Modern Physics · 2025
In this paper, we study the dynamical system analysis for a recently proposed decaying dark energy model, namely, Quintessence-Driven Slow-Contraction CDM. First, we investigate the stationary points to find the stable attractor solution under the conditions discussed recently in the literature. In this case, we do not find any stable attractor solution. Therefore, we avoid the parameter space of the Q-SC-CDM model discussed previously. Second, we make another choice for the model parameters and re-investigate the stationary points and their stability. Our analysis shows that a simple choice of model parameters allows one to capture a stable attractor solution. Moreover, we obtain a phase portrait where all trajectories move towards the stable attractor point.