TY - JOUR
T1 - On time-dependent Hamiltonian realizations of planar and nonplanar systems
AU - Esen, Oğul
AU - Guha, Partha
N1 - Funding Information:
The research of Partha Guha is partially supported by FAPESP through Instituto de Fisica de São Carlos, Universidade de Sao Paulo with grant number 2016/06560-6 .
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2018/4
Y1 - 2018/4
N2 - In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems in 2D. We generalize the cosymplectic structures to time-dependent Nambu–Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples.
AB - In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems in 2D. We generalize the cosymplectic structures to time-dependent Nambu–Poisson Hamiltonian systems and corresponding Jacobi's last multiplier for 3D systems. We illustrate our constructions with various examples.
KW - Conformal Hamiltonian systems
KW - Cosymplectic manifolds
KW - Jacobi's last multiplier
KW - Nambu–Hamiltonian systems
KW - Time-dependent Hamiltonian dynamics
UR - http://www.scopus.com/inward/record.url?scp=85044669817&partnerID=8YFLogxK
U2 - 10.1016/j.geomphys.2018.01.024
DO - 10.1016/j.geomphys.2018.01.024
M3 - Article
AN - SCOPUS:85044669817
SN - 0393-0440
VL - 127
SP - 32
EP - 45
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
ER -