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Higher-order mechanics: variational principles and other topics

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Higher-order mechanics variational principles and other topics (521,8Kb)
 
10.3934/jgm.2013.5.493
 
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hdl:2117/22510

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Prieto Martínez, Pedro DanielMés informació
Román Roy, NarcisoMés informacióMés informacióMés informació
Document typeArticle
Defense date2013-12
PublisherAmerican Institute of Mathematical Sciences
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
After reviewing the Lagrangian-Hamiltonian unified formalism (i.e, the Skinner-Rusk formalism) for higher-order (non-autonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which allows us to derive the Lagrangian and Hamiltonian equations for these kinds of systems. Then, the standard Lagrangian and Hamiltonian formulations of these principles and the corresponding dynamical equations are recovered from this unified framework.. © American Institute of Mathematical Sciences.
CitationPrieto, P.; Roman-Roy, N. Higher-order mechanics: variational principles and other topics. "Journal of Geometric Mechanics", Desembre 2013, vol. 5, núm. 4, p. 493-510. 
URIhttp://hdl.handle.net/2117/22510
DOI10.3934/jgm.2013.5.493
ISSN1941-4889
Publisher versionhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9525
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  • Departament de Matemàtiques - Articles de revista [3.473]
  • DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions - Articles de revista [50]
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