Journal of Statistical Physics

, Volume 46, Issue 1–2, pp 111–117 | Cite as

Corrections to scaling for period doubling

  • Jian-min Mao
  • Bambi Hu


We have studied a multiple scaling which describes corrections to scaling. For the period doubling in one-dimensional dissipative maps, two-dimensional areapreserving maps, and four-dimensional symplectic maps, the multiple scaling is seen to be well-obeyed, and new scaling factors have been found. The multiple scaling is also seen to be a very powerful tool for searching for scaling behavior.

Key words

Period doubling map critical value parameter convergence rate orbital scaling factor correction to scaling 


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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • Jian-min Mao
    • 1
  • Bambi Hu
    • 2
  1. 1.La Jolla InstituteCenter for Studies of Nonlinear Dynamics (affiliated with the University of California-San Diego)La Jolla
  2. 2.Department of PhysicsUniversity of HoustonUniversity Park, Houston

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