Lagrangian and Hamiltonian Dynamics on Manifolds

N. Harris McClamroch,Taeyoung Lee,Melvin Leok

doi:10.1007/978-3-319-56953-6_8

Lagrangian and Hamiltonian Dynamics on Manifolds

N. Harris McClamroch, Taeyoung Lee

https://doi.org/10.1007/978-3-319-56953-6_8

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Publication Date: Aug 15, 2017

Citations: 2

Affiliation: University of Michigan–Ann Arbor, George Washington University, University of California, San Diego

#Configuration Manifold #Variational Arguments + Show 5 more

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Abstract

Several abstract developments are introduced that allow development of Euler–Lagrange equations and Hamilton’s equations within a geometric setting. This includes the assumption that the configuration manifold is a Lie group or a homogeneous space. In all cases, Euler–Lagrange equations and Hamilton’s equations are derived using variational arguments.

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