On singularities of Hamiltonian mappings

Takuo Fukuda, and Stanisław Janeczko. "On singularities of Hamiltonian mappings." Banach Center Publications 82.1 (2008): 55-69. <http://eudml.org/doc/281711>.

@article{TakuoFukuda2008,
abstract = {The notion of an implicit Hamiltonian system-an isotropic mapping H: M → (TM,ω̇) into the tangent bundle endowed with the symplectic structure defined by canonical morphism between tangent and cotangent bundles of M-is studied. The corank one singularities of such systems are classified. Their transversality conditions in the 1-jet space of isotropic mappings are described and the corresponding symplectically invariant algebras of Hamiltonian generating functions are calculated.},
author = {Takuo Fukuda, Stanisław Janeczko},
journal = {Banach Center Publications},
keywords = {Hamiltonian system; isotropic mapping; singularity; implicit system},
language = {eng},
number = {1},
pages = {55-69},
title = {On singularities of Hamiltonian mappings},
url = {http://eudml.org/doc/281711},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Takuo Fukuda
AU - Stanisław Janeczko
TI - On singularities of Hamiltonian mappings
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 55
EP - 69
AB - The notion of an implicit Hamiltonian system-an isotropic mapping H: M → (TM,ω̇) into the tangent bundle endowed with the symplectic structure defined by canonical morphism between tangent and cotangent bundles of M-is studied. The corank one singularities of such systems are classified. Their transversality conditions in the 1-jet space of isotropic mappings are described and the corresponding symplectically invariant algebras of Hamiltonian generating functions are calculated.
LA - eng
KW - Hamiltonian system; isotropic mapping; singularity; implicit system
UR - http://eudml.org/doc/281711
ER -