Higher-order mechanics: variational principles and other topics
PublisherAmerican Institute of Mathematical Sciences
Rights accessOpen Access
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.