Feng-Xiang Mei
Beijing Institute of Technology
Reports on Mathematical Physics | 2001
Yong-Xin Guo; S.K. Luo; M. Shang; Feng-Xiang Mei
Abstract Only for some special nonholonomic constrained systems can a canonical Hamiltonian structure be realized. Based on a reduction of a nonholonomic system to a conditional holonomic system, a universal symplectic structure for a constrained system can be constructed in the framework of Birkhoffian generalization of Hamiltonian mechanics, which preserves symbiotic character among derivability from a variational principle, Lie algebra and symplectic geometry. Two examples are presented.
International Journal of Theoretical Physics | 1999
Yong-Xin Guo; M. Shang; Feng-Xiang Mei
Traditionally there do not exist integralinvariants for a nonconservative system in the phasespace of the system. For weak nonconservative systems,whose dynamical equations admit adjoint symmetries, there exist Poincare and Poincare-Cartanintegral invariants on an extended phase space, wherethe set of dynamical equations and their adjointequations are canonical. Moreover, integral invariantsalso exist for pseudoconservative dynamical systemsin the original phase space if the adjoint symmetriessatisfy certain condtions.
Acta Mechanica Sinica | 2008
Feng-Xiang Mei; Jia-Fang Xie; Tie-Qiang Gang
International Journal of Theoretical Physics | 2001
Yong-Xin Guo; M. Shang; S. K. Luo; Feng-Xiang Mei
Acta Mechanica Sinica | 2016
Feng-Xiang Mei; Huibin Wu
Acta Mechanica Sinica | 2018
J. Chen; Y. X. Guo; Feng-Xiang Mei
Chinese Physics B | 2009
Chang Liu; Shi-Xing Liu; Feng-Xiang Mei; Yong-Xin Guo
Chinese Physics B | 2009
Mei Shang; Feng-Xiang Mei
Chinese Physics B | 2008
Jian-Le Cai; Shao-Kai Luo; Feng-Xiang Mei
Chinese Physics B | 2008
Tie-Qiang Gang; Feng-Xiang Mei; Jia-Fang Xie
