Dynamical system analysis in descending dark energy model

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.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-05-30
DOI
https://doi.org/10.1142/s0219887825502275
Citations
1
Primary Topic
Computational Physics and Python Applications
Type
article
Field-Weighted Citation Impact
2.48
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article

Dynamical system analysis in descending dark energy model

M. Shahalam, Ratbay Myrzakulov, Sania Ayoub, Prakarshi Avlani
1 citations
International Journal of Geometric Methods in Modern Physics
Computational Physics and Python Applications
2.48
article

Dynamical system analysis in descending dark energy model

M. Shahalam, Ratbay Myrzakulov, Sania Ayoub, Prakarshi Avlani
article en
1 citations

Abstract

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.

International Journal of Geometric Methods in Modern Physics
L. N. Gumilyov Eurasian National University (KZ), National Institute Of Technology Silchar (IN), Integral University (IN), Indian Institute of Technology Mandi (IN)
Affordable and clean energy
Openalex Percentile: Top 10%
Computational Physics and Python Applications
2.48
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Dynamical system analysis in descending dark energy model — M. Shahalam, Ratbay Myrzakulov, et al. · International Journal of Geometric Methods in Modern Physics (2025) | TGRS Research Map | TGRS