Geometric mechanics of many-body systems

DOI10.1016/S0377-0427(01)00400-9zbMath1022.70005MaRDI QIDQ1602788

Toshihiro Iwai

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximum principlemany-body systemsnonholonomic constraintsomersaulttotal angular momentumprincipal fiber bundlegroup \(\text{SO}(3)\)jointed cylindersLagrange's equations of motionsoptimal Hamiltonian systemtwist-free conditionvibrational energy functional

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamics of multibody systems (70E55)

Related Items (3)

Swim-like motion of bodies immersed in an ideal fluid ⋮ The falling cat as a port-controlled Hamiltonian system ⋮ Rotational-vibrational energy spectra of triatomic molecules near relative equilibria

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems
• Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics
• A gauge theory for the quantum planar three-body problem
• Quantal phase factors accompanying adiabatic changes
• A geometric setting for the quantum planar n-body system, and a U(n−1) basis for the internal states
• Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction
• The mechanics and control for multi-particle systems
• Classical and quantum mechanics of jointed rigid bodies with vanishing total angular momentum

This page was built for publication: Geometric mechanics of many-body systems