Topology and Integrability in Lagrangian Mechanics
( Lagrangian Mechanics )
Publication series ： Lagrangian Mechanics
Author： Leo T. Butler
Publisher： IntechOpen
Publication year： 2017
E-ISBN: INT6316866147
P-ISBN(Paperback): 9789535131311
P-ISBN(Hardback): 9789535131328
Subject： TH Machinery and Instrument Industry
Keyword： Energy technology & engineering
Language： ENG
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Topology and Integrability in Lagrangian Mechanics
Description
This chapter reviews complete integrability in the setting of Lagrangian/Hamiltonian mechanics. It includes the construction of angle-action variables in illustrative examples, along with a proof of the Liouville-Arnol’d theorem. Results on the topology of the configuration space of a mechanical (or Tonelli) Hamiltonian are reviewed and several open problems are high-lighted.
Chapter