A short proof of chaos in an atmospheric system

Details A short proof of chaos in an atmospheric system A short proof of chaos in an atmospheric system

2002-03-15

arxiv.org/abs/math/0203155v1

Mathematics

Dynamical Systems

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

Scientific paper

10.1016/S0375-9601(02)00828-9

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.

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