Bozidar Jovanovic 1999 J. Phys. A: Math. Gen. 32 8293 doi:10.1088/0305-4470/32/47/308
Nonholonomic left and right flows on Lie groups
Bozidar Jovanovic
Show affiliationsNonholonomic systems on Lie groups with a left-invariant Lagrangian and a right-invariant nonintegrable distribution are studied. A method for construction of the first integrals is given. It is applied to three-dimensional Lie groups and to the four-dimensional nonholonomic rigid body motion. New integrable problems with an invariant measure are obtained.
- PACS
-
45.40.Cc Rigid body and gyroscope motion
45.20.Jj Lagrangian and Hamiltonian mechanics
02.20.Sv Lie algebras of Lie groups
02.20.Qs General properties, structure, and representation of Lie groups
- MSC
-
70G65 Symmetries, Lie-group and Lie-algebra methods
- Subjects
- Dates
-
Issue 47 (26 November 1999)
Received 28 July 1999
-
Nonholonomic left and right flows on Lie groups
Bozidar Jovanovic 1999 J. Phys. A: Math. Gen. 32 8293
-
Density Fluctuations in MHD Turbulence: Spectra, Intermittency, and Topology
G. Kowal et al. 2007 ApJ 658 423
-
pp-waves with torsion and metric-affine gravity
Vedad Pasic and Dmitri Vassiliev 2005 Class. Quantum Grav. 22 3961
-
Asymptotically flat soliton solutions in bosonic string theory
Oleg V Kechkin 2003 Class. Quantum Grav. 20 L225
-
Induced voltage of piezoelectric unimorph cantilevers of different nonpiezoelectric/piezoelectric length ratios
Xiaotong Gao et al 2009 Smart Mater. Struct. 18 125018
-
An analysis pipeline for correlated global environmental noise
Karl W Wette et al 2005 Class. Quantum Grav. 22 S1079
-
On the relation between standard and μ-symmetries for PDEs
Giampaolo Cicogna et al 2004 J. Phys. A: Math. Gen. 37 9467
-
A note on vacuum energy from the de Sitter spectrum
Kostyantyn Ropotenko 2007 Class. Quantum Grav. 24 5721
-
The two-state S matrix for the Landau-Zener potential curve crossing model: predissociation and resonant scattering
P V Coveney et al 1985 J. Phys. B: At. Mol. Phys. 18 4557
-
Detailed Spectroscopic Analysis of SN 1987A: The Distance to the Large Magellanic Cloud Using the Spectral-fitting Expanding Atmosphere Method
Robert C. Mitchell et al. 2002 ApJ 574 293
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Trajectory attractors of equations of mathematical physics
-
Notes on Yang–Mills–Higgs monopoles and dyons on
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities