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NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS
引用本文:高普云. NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS[J]. 应用数学和力学(英文版), 1996, 0(10)
作者姓名:高普云
作者单位:Department of Mathematics,Nanjing University,Nanijing 210093. P. R. China
摘    要:ANEWMETHODFORTHECONSTRUCTIONOFINTEGRABLEHAMILTONIANSYSTEMSGaoPuyun(高普云)(DepartmentofMathematics,NanjingUniversity,Nanijing210?..


NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS
Gao Puyun. NEW METHOD FOR THE CONSTRUCTION OF INTEGRABLE HAMILTONIAN SYSTEMS[J]. Applied Mathematics and Mechanics(English Edition), 1996, 0(10)
Authors:Gao Puyun
Abstract:A new method.for the construction of integrable Hamiltonian system is proposed.For a given Poisson manifold the present paper constructs new Poisson brackets on it by making use of the Dirac-Poisson structure[1],and obtains .further new integrable Hamiltonian systems The constructed Poisson bracket is usual non-linear, and this new method is also different from usual ones[2-4].Two examples are given.
Keywords:Dirac-Poisson bracket.integrability  Hamiltonian systems
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