paper

A short proof of chaos in an atmospheric system

arXiv:math/0203155 · doi:10.1016/S0375-9601(02)00828-9

Abstract

We will prove the presence of chaotic motion in the Lorenz five-component atmospheric system model using the Melnikov function method developed by Holmes and Marsden for Hamiltonian systems on Lie Groups.

PACS: 02.20.Sv; 02.30.Hg; 02.40.-k; 92.60.-e. 5 pages

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