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Different faces of chaos in FRW models with scalar fields—geometrical point of view

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  • Hrycyna, Orest
  • Szydłowski, Marek

Abstract

FRW cosmologies with conformally coupled scalar fields are investigated in a geometrical way by the means of geodesics of the Jacobi metric. In this model of dynamics, trajectories in the configuration space are represented by geodesics. Because of the singular nature of the Jacobi metric on the boundary set ∂D of the domain of admissible motion, the geodesics change the cone sectors several times (or an infinite number of times) in the neighborhood of the singular set ∂D.

Suggested Citation

  • Hrycyna, Orest & Szydłowski, Marek, 2006. "Different faces of chaos in FRW models with scalar fields—geometrical point of view," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1252-1270.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:5:p:1252-1270
    DOI: 10.1016/j.chaos.2005.08.187
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