Mimetic Attractors
Muhammad Raza, Kairat Myrzakulov, Davood Momeni, and Ratbay Myrzakulov

TL;DR
This paper explores mathematical models of cosmological attractors within mimetic gravity, focusing on dark energy-dark matter interactions and their potential to explain cosmic evolution, with data-dependent parameters and invariant submanifolds.
Contribution
It introduces a new framework for modeling cosmological attractors in mimetic gravity considering dark sector interactions and invariant submanifolds.
Findings
Interaction parameter $\Gamma_i$ can be used to model attractors
Initial invariant submanifolds are relevant to the dynamics
Modeling depends on data to determine specific parameters
Abstract
In this paper, we investigate the mathematical modeling for the cosmological attractors propagated in mimetic gravity upon which an interacting dark energy-dark matter is supposed to be existed. The average value of the interaction of these percentages, namely say, may be used to investigate generally the modeling of an attractor; the actual value could only be determined by data in any particular case. We have seen, for example, that it was led to investigate the subject of initially invariant submanifolds.
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