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In this study, we consider the Finsler–Randers geometry model composed of standard matter, radiation and the cosmological constant-like dark energy. We explore the cosmic dynamics by using the dynamical system approach. This analysis reveals that the universe evolution composed of the decelerating and accelerating era will be explained in the model. In particular, the fixed points for the matter, radiation and the de Sitter era will exist in the model along with an additional fixed point for which the universe will evolve with Formula: see text. The observational estimation of model parameters involves the Bayesian analysis approach using the Markov Chain Monte Carlo method. The observational analysis highlight that the Finsler and Formula: see textCDM models may be indistinguishable from each other for Formula: see text. Although, for higher order values of Formula: see text, the universe in the Finsler and Formula: see textCDM model may evolve differently.
Singh et al. (Sat,) studied this question.