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Dynamical System Analysis for Steep Potentials

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arxiv 1903.02288 v2 pith:IW3ZJ64H submitted 2019-03-06 gr-qc astro-ph.CO

Sudipta Das , Manisha Banerjee , Nandan Roy This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords analysispotentialssteepdarkdynamicalindexperformedsteepness
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abstract

In this work we have performed the dynamical system analysis for steep(er) exponential potentials considering different values of the steepness index $n$. We have performed the analysis using centre manifold theory as well as by employing numerical method. We have shown that in most of the cases, the higher values of steepness index corresponds to an unstable solution. We have shown that with this steep(er) potentials one can not have a phase transition from dark matter to dark energy in the past.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constraints on DBI dark energy with chameleon mechanism

    astro-ph.CO 2025-08 unverdicted novelty 4.0 of 10

    DBI dark energy with a chameleon coupling is mildly disfavored against ΛCDM using DESI DR2, DES Y5, Pantheon Plus, and Planck data, with self-interaction consistent with zero.

  2. Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe

    gr-qc 2025-06 conditional novelty 4.0 of 10

    For a Kaluza-Klein inspired vector-scalar model in Bianchi type-I with inverse power-law potential, center manifold theory shows the isotropic scalar-dominated point E is a stable attractor, supporting isotropization.

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