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On the Hamiltonian Flow of Brake Hamiltonian System
Applied Mechanics and Materials, 2013This paper studies the Hamiltonian flow of the brake Hamiltonian dynamical system on the symmetrical symplectic manifold. By using the transformation law of Hamiltonian diffeomorphisms and the Hamiltonian vectors, this paper describes the characteristics of the Hamiltonian flows and proves that the Hamiltonian flows are invariant under some ...
Da Wei Sun, Jia Rui Liu
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Hamiltonian groups are color‐graph‐hamiltonian
Journal of Graph Theory, 1981AbstractA group Γ is said to be color ‐graph ‐hamiltonian if Γ has a minimal generating set Δ such that the Cayley color graph DΔ(Γ) is hamiltonian. It is shown that every hamiltonian group is color ‐graph ‐hamiltonian.
Joseph B. Klerlein, A. Gregory Starling
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MCMC Using Hamiltonian Dynamics
, 2011Hamiltonian dynamics can be used to produce distant proposals for the Metropolis algorithm, thereby avoiding the slow exploration of the state space that results from the diffusive behaviour of simple random-walk proposals. Though originating in physics,
Radford M. Neal
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Flow equations for Hamiltonians
Nuclear Physics B - Proceedings Supplements, 1994A method to diagonalize or block-diagonalize Hamiltonians by means of an appropriate continuous unitary transformation is reviewed. We will outline (i) the procedure for the elimination of the electron-phonon interaction and the construction of the effective attractive electron-electron interaction, and (ii) the application to some systems with ...
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The Hamiltonian Way for Computing Hamiltonian Dynamics
1991We present a survey of a recent comprehensive study on the numerical methods for Hamiltonian systems based on symplectic geometry, together the motivations for the research, justification for the symplectic approach adopted, some of the main results, their ramifications and their implications [1–9].
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Hamiltonian methods in the theory of solitons
, 1987L. Faddeev, L. Takhtajan
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The Theory of Hamiltonian and Bi-Hamiltonian Systems
1998This chapter is devoted to the standard results of the algebraic theory of bi-Hamiltonian systems, developed during the last two decades. The crucial concepts like the one of the recursion operator introduced by Olver [158], the bi-Hamiltonian property formulated by Magri [123] as well as the hereditary property introduced by Fuchssteiner [82] gave a ...
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Critical Point Theory and Hamiltonian Systems
, 1989J. Mawhin, M. Willem
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State preparation and evolution in quantum computing: A perspective from Hamiltonian moments
International Journal of Quantum Chemistry, 2022Trevor Keen, Bo Peng
exaly
Linear port-Hamiltonian descriptor systems
Math. Control. Signals Syst., 2018C. Beattie+3 more
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