Nonlinear Dynamics of a Dark Energy Model

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Rudra Prabir

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Journal Paper

Paper Information

Journal: ANALYTICAL AND NUMERICAL SOLUTIONS FOR NONLINEAR EQUATIONS Year:2024 | Volume:9 | Issue:2 Page(s): 261-269

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Information Journal Paper

Title

Nonlinear Dynamics of a Dark Energy Model

Author(s)

Rudra Prabir | Issue Writer Certificate

Keywords

Equation of state

Cosmology

Perturbation

Numerical solution

Abstract

We investigate a nonlinear equation of state arising in a phenomenological model of dark energy. The model is motivated by modifications to quintessence dynamics and leads to a non-linear differential equation for the Hubble parameter. We provide both approximate analytical methods and numerical solutions, demonstrating how nonlinearity alters the late-time acceleration of the Universe. The results suggest that deviations from linearized treatments can significantly modify the effective equation of state parameter at redshifts $z < 1$, with potential implications for precision cosmology.

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