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The Lorenz–Krishnamurthy Slow Manifold

A. C. FowlerMathematical Institute, Oxford University, Oxford, United Kingdom

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G. KemberDepartment of Applied Mathematics, Technical University of Nova Scotia, Halifax, Nova Scotia, Canada

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Abstract

The authors scale the five-mode model introduced by Lorenz and Krishnamurthy and show how explicit solutions may be obtained in the limit of small Rossby number by using the method of multiple scales. They thus obtain a characterization of the “slow manifold” of this model.

Abstract

The authors scale the five-mode model introduced by Lorenz and Krishnamurthy and show how explicit solutions may be obtained in the limit of small Rossby number by using the method of multiple scales. They thus obtain a characterization of the “slow manifold” of this model.

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