Communications in Mathematical Physics

, Volume 60, Issue 3, pp 193–204 | Cite as

A generalized Lorenz system

  • James H. Curry


A 14-dimensional generalized Lorenz system of ordinary differential equations is constructed and its bifurcation sequence is then studied numerically. Several fundamental differences are found which serve to distinguish this model from Lorenz's original one, the most unexpected of which is a family of invariant two-tori whose ultimate bifurcation leads to a strange attractor. The strange attractor seems to have many of the gross features observed in Lorenz's model and therefore is an excellent candidate for a higher dimensional analogue.


Differential Equation Neural Network Statistical Physic Complex System Ordinary Differential Equation 
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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • James H. Curry
    • 1
  1. 1.Advanced Study ProgramNational Center for Atmospheric ResearchBoulderUSA

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