其次，Hamiltonian system 有三大性质，对应了统计中马氏链(Markov chain)的性质，因而保证马氏链的平衡状...
2.AHamiltonian systemis introduced in the problem.引进哈密尔顿系统,通过哈密尔顿二元方程,采用4对对偶变量,对系统中的基础问题进行数学描述,并归纳为临界荷载的特征值和特征解问题。 3.We discuss the multisymplectic Preissman scheme which is mainly applied to solve multisymplecticHamiltonian systemin the paper...
网络释义 1. 哈密顿系统 哈密顿系统,hamiltonian... ... )hamiltonian system哈密顿系统) hamiltonian systems 哈密顿系统 ... www.dictall.com|基于3个网页 2. 哈密顿体系 哈密顿对偶体系,Hamilton dual... ... )Hamiltonian system哈密顿体系) Hamilton dual system 哈密顿对偶体系 ... ...
A Hamiltonian system is a dynamical system whose equations of motions can be written in terms of a scalar function, called the Hamiltonian of the system: if one uses coordinates (p, q) in a domain (phase space) D⊂R2N, where N is the number of independent variables one needs to ident...
Hamiltonian system is a very important dynamical system in engineering, of which the detailed theory can be found in many publications, such as Abraham and Marsden (1978 / 1980); Guckenheimer and Holmes (1983); Thompson and Stewart (1986); Zhu (1996, 2003). This chapter discusses the ...
block structure of a CD system which is shown in fig. 1. This structure can be also a basis to design an associated electronic circuit. x - - Fig. 1. Canonical dissipative systems: a block diagram If in the case of the canonical dissipative systems g(H) is constant or affine that...
Given a smooth function \(H\;:\;{\mathbb {R}}^{2n}\rightarrow {\mathbb {R}}\), consider the Hamiltonian system $$\begin{aligned} {{\varvec{x}}}'(t)={{\varvec{J}}}_n^{-1}\,\nabla H({{\varvec{x}}}(t)),\qquad {{\varvec{x}}}(0)={{\varvec{x}}}_0, \end{...
网络离散哈密顿系统 网络释义 1. 离散哈密顿系统 具有耗散的受迫哈密顿系... ... )discrete Hamiltonian system离散哈密顿系统) hamilton feedback dissipative 哈密顿反馈耗散 ... www.dictall.com|基于 1 个网页
More precisely, the function w(t,z)=0 is an equilibrium solution of the unperturbed Hamiltonian system (H0) with Liapounov exponents (i.e. the eigenvalues of the linearized system at the equilibrium) given byλj2=j2π2(γ−j2π2)j=1,2,…,and eigenvectors given by sin(jπz) (cal...
The Hamiltonian system can then be expressed in partitioned form by means of two functions f and g: dpi dt = f (qi, t) = − ∂V (q, ∂qi t) , dqi dt = g(pi) = ∂T (p) ∂pi , i = 1, . . . , d . (1) A Partitioned Runge Kutta method (PRK) can be ...