TY - JOUR
T1 - Hamiltonian structures for projectable dynamics on symplectic fiber bundles
AU - Dávila-Rascón, Guillermo
AU - Vorobiev, Yuri
PY - 2013
Y1 - 2013
N2 - The Hamiltonization problem for projectable vector fields on gen- eral symplectic fiber bundles is studied. Necessary and sufficient conditions for the existence of Hamiltonian structures in the class of compatible symplectic structures are derived in terms of invariant symplectic connections. In the case of a at symplectic bundle, we show that this criterion leads to the study of the solvability of homological type equations.
AB - The Hamiltonization problem for projectable vector fields on gen- eral symplectic fiber bundles is studied. Necessary and sufficient conditions for the existence of Hamiltonian structures in the class of compatible symplectic structures are derived in terms of invariant symplectic connections. In the case of a at symplectic bundle, we show that this criterion leads to the study of the solvability of homological type equations.
KW - Coupling
KW - Ehresmann connection
KW - Hamiltonization problem
KW - Invariant connection
KW - Poisson tensor
KW - Projectable dynamics
KW - Symplectic bundle
KW - Symplectic connection
UR - http://www.scopus.com/inward/record.url?scp=84867842717&partnerID=8YFLogxK
U2 - 10.3934/dcds.2013.33.1077
DO - 10.3934/dcds.2013.33.1077
M3 - Artículo
SN - 1078-0947
VL - 33
SP - 1077
EP - 1088
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
IS - 3
ER -