Regular Article - Theoretical Physics
Dynamical system analysis of self-interacting three-form field cosmological model: stability and bifurcation
Department of Mathematics, Jadavpur University, 700032, Kolkata, WB, India
Accepted: 9 May 2021
Published online: 22 May 2021
The present work deals with Cosmological model of a three-form field, minimally coupled to gravity and interacting with cold dark matter in the background of flat FLRW space-time. By suitable choice of the dimensionless variables, the evolution equations are converted to an autonomous system and cosmological study is done by dynamical system analysis. The critical points are determined and the stability of the (non-hyperbolic) equilibrium points are examined by center manifold Theory. Possible bifurcation scenarios have been examined by the Poincaré index theory to identify possible cosmological phase transition. Also stabilities of the critical points have been analyzed globally using geometric features.
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