DOI10.1142/p802zbMath1381.70001OpenAlexW4240753290MaRDI QIDQ5892581
Darryl D. Holm
Publication date: 23 June 2011
Full work available at URL: https://doi.org/10.1142/p802
Applications of differential geometry to physics (53Z05)
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)
Dynamical systems in classical and celestial mechanics (37N05)
Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Motion of a rigid body with a fixed point (70E17)
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx)
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01)
Hamiltonian and Lagrangian mechanics (70Hxx)
Hamiltonian dynamics of semiclassical Gaussian wave packets in electromagnetic potentials,
Historical and critical review of the development of nonholonomic mechanics: the classical period,
Contact of ropes and orthotropic rough surfaces,
Quaternion solution for the rock'n'roller: box orbits, loop orbits and recession,
Integrability and chaos in figure skating,
The GGL variational principle for constrained mechanical systems,
A Herglotz-based integrator for nonholonomic mechanical systems,
Variational Principles on Geometric Rough Paths and the Lévy Area Correction,
Variational order for forced Lagrangian systems II. Euler–Poincaré equations with forcing,
A unified analytical expression of the tangent stiffness matrix of holonomic constraints,
Constraint control of nonholonomic mechanical systems,
Invariant Control Systems on Lie Groups,
The Euler-Poisson equations: an elementary approach to integrability conditions,
Generalized variational calculus for continuous and discrete mechanical systems,
The Siegel upper half space is a Marsden-Weinstein quotient: symplectic reduction and Gaussian wave packets,
G -Strands on symmetric spaces,
Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions,
A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion,
Variable step size commutator free Lie group integrators,
Nonlocal approach to nonequilibrium thermodynamics and nonlocal heat diffusion processes,
A finite element exterior calculus framework for the rotating shallow-water equations,
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems,
Networks of coadjoint orbits: from geometric to statistical mechanics,
Reduction of a Hamilton-Jacobi equation for nonholonomic systems,
Symmetry and conservation laws in semiclassical wave packet dynamics,
On the normal force and static friction acting on a rolling ball actuated by internal point masses,
Learning Hamiltonians of constrained mechanical systems,
High-order integrators for Lagrangian systems on homogeneous spaces via nonholonomic mechanics
