【摘 要】
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In this talk, some new results we obtained recently on generalized Hamiltonian systems will be presented.Mathematically, a n-dimensional dynamical system is
【机 构】
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DepartmentofMathematics,ZhejiangNormalUniversity,Jinhua,321004,Zhejiang,P.R.China
【出 处】
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第三届非线性力学最新进展国际会议Third International Conference on Recent Adv
论文部分内容阅读
In this talk, some new results we obtained recently on generalized Hamiltonian systems will be presented.Mathematically, a n-dimensional dynamical system is said to be a Generalized Hamiltonian System(GHS) (also called Poisson system) or to admit a Poisson structure if it can be written as the form of ODEs: dx/dt=J(x)▽H(x) ,where the function H(x) is called hamiltonian, the matrixis J(x) =(Jij (x))skew-symmetric, called structure matrix and satis es the Jacobian identities:n∑1=1(Jli(6)lJjk+Jlj(6)lJki+Jlk(6)lJij) =0,(6)l ≡(6)/(6)xl,i,j,k =1,…,n.
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