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• W2068001039 abstract "This work is devoted to giving a geometric framework for describing higher-order non-autonomous mechanical systems. The starting point is to extend the Lagrangian-Hamiltonian unified formalism of Skinner and Rusk for these kinds of systems, generalizing previous developments for higher-order autonomous mechanical systems and first-order non-autonomous mechanical systems. Then, we use this unified formulation to derive the standard Lagrangian and Hamiltonian formalisms, including the Legendre-Ostrogradsky map and the Euler-Lagrange and the Hamilton equations, both for regular and singular systems. As applications of our model, two examples of regular and singular physical systems are studied." @default.
• W2068001039 created "2016-06-24" @default.
• W2068001039 creator A5002463630 @default.
• W2068001039 creator A5054609353 @default.
• W2068001039 date "2012-03-01" @default.
• W2068001039 modified "2023-09-23" @default.
• W2068001039 title "Unified formalism for higher order non-autonomous dynamical systems" @default.
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• W2068001039 doi "https://doi.org/10.1063/1.3692326" @default.
• W2068001039 hasPublicationYear "2012" @default.
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