Journal of Statistical Physics

, Volume 21, Issue 3, pp 263–277

Metastable chaos: The transition to sustained chaotic behavior in the Lorenz model

  • James A. Yorke
  • Ellen D. Yorke

DOI: 10.1007/BF01011469

Cite this article as:
Yorke, J.A. & Yorke, E.D. J Stat Phys (1979) 21: 263. doi:10.1007/BF01011469


The system of equations introduced by Lorenz to model turbulent convective flow is studied here for Rayleigh numbersr somewhat smaller than the critical value required for sustained chaotic behavior. In this regime the system is found to exhibit transient chaotic behavior. Some statistical properties of this transient chaos are examined numerically. A mean decay time from chaos to steady flow is found and its dependence uponr is studied both numerically and (very close to the criticalr) analytically.

Key words

Turbulence chaos Lorenz system 

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • James A. Yorke
    • 1
  • Ellen D. Yorke
    • 2
  1. 1.Institute for Physical Science and Technology and Department of MathematicsUniversity of MarylandCollege Park
  2. 2.Department of PhysicsUniversity of Maryland-Baltimore CountyCatonsville

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