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A generalized Lorenz system

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Abstract

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.

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Author notes

  1. James H. Curry

    Present address: Department of Meterology, M.I.T., Cambridge, MA, USA

Authors and Affiliations

  1. Advanced Study Program, National Center for Atmospheric Research, 80307, Boulder, Colorado, USA

    James H. Curry

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  1. James H. Curry
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Additional information

Communicated by J. Moser

On leave from Department of Mathematics, Howard University, Washington, DC, USA

The National Center for Atmospheric Research is sponsored by the National Science Foundation

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Curry, J.H. A generalized Lorenz system. Commun.Math. Phys. 60, 193–204 (1978). https://doi.org/10.1007/BF01612888

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  • DOI: https://doi.org/10.1007/BF01612888

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