Revisiting the slow manifold of the Lorenz-Krishnamurthy quintet
Department of Mechanical Engineering, National Institute of Technology Karnataka, Surathkal, India
Center for Atmospheric and Oceanic Sciences, Indian Institute of Science, Bangalore 560 012, India
TIFR Centre, Indian Institute of Science, Bangalore 560 012, India
Minimization of evolution rate does not guarantee the invariance of the manifold. Using a locally linear approximate reduction scheme, the invariance can be maintained. However, the solutions so obtained do develop high frequency oscillations. The onset of these high frequency oscillations is delayed vis-a-vis other previous studies. These methods have potential to be used in improving the predictions of weather systems.
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