TY - JOUR
T1 - Lie Group Integration for Generalized Hamiltonian System with Dissipation
AU - Zhang, Su Ying
AU - Deng, Zi Chen
PY - 2003
Y1 - 2003
N2 - In the present paper, an explicit Lie group integration for general Hamiltonian systems with dissipation is presented by means of splitting the differential operator and composing the approximation of exponentiation of the separated operators, which can preserve the properties of Lie group of the original dynamic system,. Subsequently, the method is extended to the generalized Hamiltonian control systems. Finally, a numerical example shows the effectiveness of the method in this paper.
AB - In the present paper, an explicit Lie group integration for general Hamiltonian systems with dissipation is presented by means of splitting the differential operator and composing the approximation of exponentiation of the separated operators, which can preserve the properties of Lie group of the original dynamic system,. Subsequently, the method is extended to the generalized Hamiltonian control systems. Finally, a numerical example shows the effectiveness of the method in this paper.
KW - Differential operator
KW - Hamiltonian systems with dissipation
KW - Lie group integration
UR - http://www.scopus.com/inward/record.url?scp=0037238915&partnerID=8YFLogxK
M3 - 文章
AN - SCOPUS:0037238915
SN - 1565-1339
VL - 4
SP - 89
EP - 94
JO - International Journal of Nonlinear Sciences and Numerical Simulation
JF - International Journal of Nonlinear Sciences and Numerical Simulation
IS - 1
ER -