Variable-moment fluid closures with Hamiltonian structure [PDF]
Scientific Reports, 2023 Based on ideas due to Scovel–Weinstein, I present a general framework for constructing fluid moment closures of the Vlasov–Poisson system that exactly preserve that system’s Hamiltonian structure. Notably, the technique applies in any space dimension and
J. W. Burby
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The most general structure of graphs with hamiltonian or hamiltonian connected square
Discrete Mathematics, 2023 On the basis of recent results on hamiltonicity and hamiltonian connectedness in the square of a 2-block, we determine the most general block-cutvertex structure a graph $G$ may have in order to guarantee that $G^2$ is hamiltonian, hamiltonian connected, respectively. Such an approach was already developed for hamiltonian total graphs.
Jan Ekstein, Herbert Fleischner
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On the Structural Properties of Discrete-Time and Sampled-Data Hamiltonian Dynamics [PDF]
EntropyWhile continuous-time Hamiltonian dynamics are naturally energy preserving with a symplectic flow, their discrete-time counterparts enhance either geometric or energy preservation properties, but rarely both within a unified framework.
Salvatore Monaco +1 more
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Hamiltonian Structure of PI Hierarchy [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting isomonodromic deformations, and
Kanehisa Takasaki
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Hamiltonian structure of compartmental epidemiological models. [PDF]
Physica D, 2020 Ballesteros A +2 more
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Active Disturbance Rejection Robust Hamiltonian Tracking Control of Electrically Driven Manipulator [PDF]
Zhengzhou Daxue xuebao. Gongxue ban, 2022 Aiming to solve the position tracking problem of permanent magnet synchronous motor driven manipulator system,a robust control strategy combining active disturbance rejection control and Hamiltonian control was proposed.Firstly,the electrical subsystem
ZENG Qingshan +3 more
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The Port-Hamiltonian Structure of Continuum Mechanics. [PDF]
J Nonlinear SciAbstract In this paper, we present a novel approach to the geometric formulation of solid and fluid mechanics within the port-Hamiltonian framework, which extends the standard Hamiltonian formulation to non-conservative and open dynamical systems.
Rashad R, Stramigioli S.
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Hamiltonian structure of Hamiltonian chaos [PDF]
Physics Letters A, 1997 From a kinematical point of view, the geometrical information of hamiltonian chaos is given by the (un)stable directions, while the dynamical information is given by the Lyapunov exponents. The finite time Lyapunov exponents are of particular importance in physics.
Tang, X. Z., Boozer, A. H.
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Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation [PDF]
Quantum, 2023 Solving the electronic structure problem via unitary evolution of the electronic Hamiltonian is one of the promising applications of digital quantum computers.
Luis A. Martínez-Martínez +2 more
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A rigorous derivation of the Hamiltonian structure for the Vlasov equation
Forum of Mathematics, Sigma, 2023 We consider the Vlasov equation in any spatial dimension, which has long been known [ZI76, Mor80, Gib81, MW82] to be an infinite-dimensional Hamiltonian system whose bracket structure is of Lie–Poisson type.
Joseph K. Miller +4 more
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