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Cosmic infinity: A dynamical system approach

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arxiv 1611.03100 v2 pith:LCPXDOZB submitted 2016-11-09 gr-qc hep-phhep-thmath-phmath.MP

classification gr-qchep-phhep-thmath-phmath.MP
keywords fixedpointssystemdynamicalinfinityallowsanalyseapproach
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Dynamical system techniques are extremely useful to study cosmology. It turns out that in most of the cases, we deal with finite isolated fixed points corresponding to a given cosmological epoch. However, it is equally important to analyse the asymptotic behaviour of the universe. On this paper, we show how this can be carried out for 3-forms model. In fact, we show that there are fixed points at infinity mainly by introducing appropriate compactifications and defining a new time variable that washes away any potential divergence of the system. The richness of 3-form models allows us as well to identify normally hyperbolic non-isolated fixed points.

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Cited by 7 Pith papers

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

  1. Alleviating the Hubble Tension with Smooth Sign-Switching Dark Energy: Full CMB Constraints with DESI and PantheonPlus

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    Smooth ECDM dark energy remains compatible with Planck+ACT+SPT, DESI DR2 and Pantheon+/SH0ES while alleviating the Hubble tension through a controlled late-time density transition.

  2. Sign-Switching Dark Energy: Smooth Transitions with Recent DESI DR2 Observations

    astro-ph.CO 2026-02 conditional novelty 6.0 of 10

    Sign-switching dark energy with a transition at z_† fits recent DESI DR2, Planck CMB, and Pantheon+ data better than ΛCDM while raising the inferred Hubble constant and easing the Hubble tension.

  3. Observational constraints on 3-forms dark energy

    astro-ph.CO 2025-12 conditional novelty 6.0 of 10

    Fitting a Gaussian-potential 3-form dark-energy model to Planck, DESI, Pantheon+, Cepheid and DES data shifts H0 up by only ~0.4 km/s/Mpc and yields a weak statistical preference over ΛCDM.

  4. Dynamical-System analysis of single-axion monodromy inflation with periodically-modulated potentials

    gr-qc 2025-07 conditional novelty 6.0 of 10

    For single-axion potentials of the form Λ0^3 b + Λ1^4 cos(b/fb), the paper classifies the fixed points of the Friedmann-Klein-Gordon dynamics into stable nodes/spirals, saddles, and a bifurcation at |γ/δ|=1.

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    astro-ph.CO 2026-02 conditional novelty 5.0 of 10

    A generalized three-form dark-energy Lagrangian admits stable scaling attractors that track the dominant cosmic fluid and, via a double-potential extension, exit to late-time acceleration — physical content dual to kn...

  6. Three-form dark energy: constraints and multi-probe comparison with $\Lambda$CDM

    astro-ph.CO 2026-06 unverdicted novelty 4.0 of 10

    Three-form dark energy with Gaussian potential is fitted to multi-probe cosmological data and shows mild statistical preference over ΛCDM only in heavily tensioned dataset combinations.

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    astro-ph.CO 2025-09 unverdicted novelty 4.0 of 10

    Interacting k-essence dark energy and non-pressureless dark matter models with two interaction forms are shown to reproduce major cosmological epochs and fit observations comparably to LambdaCDM while admitting late-t...

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