Regular and Chaotic Dynamics

, Volume 12, Issue 4, pp 357–364 | Cite as

Certain aspects of regularity in scalar field cosmological dynamics

  • A. Toporensky
  • P. Tretyakov
Research Articles


We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of positive curvature exist for all considered types of scalar field potential. Usually, phase space of systems with the positive curvature contains islands of regular motion. We find these islands numerically for shallow scalar field potentials. It is shown also that beyond the physical domain the islands of regularity exist for quadratic potentials as well.

Key words

islands of regular motion scalar field cosmology 

MSC2000 numbers

37N30 65P20 37N20 83F05 


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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • A. Toporensky
    • 1
  • P. Tretyakov
    • 1
  1. 1.Sternberg Astronomical InstituteMoscowRussia

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