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@INBOOK{Shepherd:1049630,
author = {Shepherd, Theodore},
title = {{H}amiltonian dynamics; 3rd ed.},
volume = {4},
address = {London},
publisher = {Academic Press},
reportid = {FZJ-2025-05418},
pages = {84-94},
year = {2025},
comment = {Encyclopedia of Atmospheric Sciences, Third Edition, Volume
4},
booktitle = {Encyclopedia of Atmospheric Sciences,
Third Edition, Volume 4},
abstract = {Hamiltonian dynamics describes the evolution of
conservative physical systems. Originally developed as a
generalization of Newtonian mechanics, it represents a core
component of any undergraduate physics curriculum. What is
not so widely recognized is that the ideal (i.e.
conservative) form of the governing equations used in
dynamical meteorology are also Hamiltonian dynamical
systems. This chapter explains how this is so, and some of
the consequences that follow from this fact. It is important
to be able to connect theoretical results across the
hierarchy of various models used in dynamical meteorology,
from the simplest to the most complex. Hamiltonian dynamics
is what allows one to do precisely that.},
cin = {JSC},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5111},
typ = {PUB:(DE-HGF)7},
doi = {10.1016/B978-0-323-96026-7.00167-3},
url = {https://juser.fz-juelich.de/record/1049630},
}