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Dynamical systems analysis of an interacting dark energy model in the brane scenario

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Abstract

In this paper, we investigate the background dynamics in brane cosmology when dark energy is coupled to dark matter by a suitable interaction. Here we consider an homogeneous and isotropic Friedmann–Robertson–Walker brane model and the evolution equations are reduced to an autonomous system by suitable transformation of variables. The nature of critical points are analyzed by evaluating the eigenvalues of linearized Jacobi matrix. Finally, the classical stability of the model is also studied.

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Acknowledgments

One of the authors (S.C.) is thankful to UGC-DRS programme, in the Department of Mathematics, J.U., S.C. is also thankful to IUCAA, Pune for research facilities at Library.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700 032, India

    Sujay Kr. Biswas & Subenoy Chakraborty

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  1. Sujay Kr. Biswas
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  2. Subenoy Chakraborty
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Correspondence to Subenoy Chakraborty.

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Biswas, S.K., Chakraborty, S. Dynamical systems analysis of an interacting dark energy model in the brane scenario. Gen Relativ Gravit 47, 22 (2015). https://doi.org/10.1007/s10714-015-1866-8

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