Comment on 鈥淢inimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures, Physica D 240 (2011) 599-606鈥?/span>

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• 作者：Alex ; er Gluhovsky
• 关键词：Finite-mode models ; Hamiltonian mechanics ; Lorenz model
• 刊名：Physica D
• 出版年：1 February, 2014
• 年：2014
• 卷：268
• 期：Complete
• 页码：118-120
• 全文大小：347 K

文摘

Bihlo and Staufer (2011), point out that 鈥渢runcation to systems in coupled gyrostats form (Gluhovsky, 2006, Gluhovsky et聽al., 2002) may also lead to models that retain the conservation properties of the original equations and that a single gyrostat is a Nambu system and hence using such a truncation, conservation of the underlying geometry may be implemented at least in some minimal form鈥? In this note, we demonstrate that example systems in Bihlo and Staufer (2011) may indeed be treated in terms of gyrostats; in particular, their central example (six-mode system (13)) proves to be a four-dimensional gyrostat.