Global formulations of Lagrangian and Hamiltonian dynamics on manifolds. A geometric approach to modeling and analysis

DOI10.1007/978-3-319-56953-6zbMath1381.70005OpenAlexW2749863061MaRDI QIDQ526986

Melvin Leok, N. Harris Mcclamroch, Tae-Young Lee

Publication date: 15 May 2017

Published in: Interaction of Mechanics and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-56953-6

zbMATH Keywords

Lie group geometric mechanics Lagrangian and Hamiltonian dynamics on manifolds

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Hamiltonian and Lagrangian mechanics (70Hxx)

Related Items (10)

Lie group integrators for mechanical systems ⋮ The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Generalized Lagrange's equations for systems with general constraints and distributed parameters ⋮ Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators ⋮ The rotating rigid body model based on a non-twisting frame ⋮ Energy-preserving methods on Riemannian manifolds ⋮ Chains of rigid bodies and their numerical simulation by local frame methods ⋮ A new geometric trajectory tracking controller for the unicycle mobile robot ⋮ Learning Hamiltonians of constrained mechanical systems ⋮ High-order integrators for Lagrangian systems on homogeneous spaces via nonholonomic mechanics

This page was built for publication: Global formulations of Lagrangian and Hamiltonian dynamics on manifolds. A geometric approach to modeling and analysis