Results 41 to 50 of about 418,083 (279)

Higher Order Hamiltonian Systems with Generalized Legendre Transformation

open access: yesMathematics, 2018
The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
doaj   +1 more source

Simulating broken $\cal PT$-symmetric Hamiltonian systems by weak measurement

open access: yes, 2019
By embedding a $\cal PT$-symmetric (pseudo-Hermitian) system into a large Hermitian one, we disclose the relations between $\cal{PT}$-symmetric Hamiltonians and weak measurement theory.
Fei, Shao-Ming   +4 more
core   +1 more source

Lagrangian and Hamiltonian two-scale reduction [PDF]

open access: yes, 1988
Studying high-dimensional Hamiltonian systems with microstructure, it is an important and challenging problem to identify reduced macroscopic models that describe some effective dynamics on large spatial and temporal scales.
Abraham R.   +12 more
core   +4 more sources

Analytical Solution to Normal Forms of Hamiltonian Systems

open access: yesMathematical and Computational Applications, 2017
The idea of the normalisation of the Hamiltonian system is to simplify the system by transforming Hamiltonian canonically to an easy system. It is under symplectic conditions that the Hamiltonian is preserved under a specific transformation—the so-called
Ali Allahem
doaj   +1 more source

Finite dimensional Hamiltonian system related to Lax pair with symplectic and cyclic symmetries

open access: yes, 2011
For the 1+1 dimensional Lax pair with a symplectic symmetry and cyclic symmetries, it is shown that there is a natural finite dimensional Hamiltonian system related to it by presenting a unified Lax matrix.
Zhou, Zi-Xiang
core   +1 more source

Integrable Systems and Metrics of Constant Curvature

open access: yes, 2001
In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differential-geometric Poisson bracket of the first order associated with metrics of constant curvature.
Dubrovin B.A.   +8 more
core   +1 more source

Ferroelectricity in Antiferromagnetic Wurtzite Nitrides

open access: yesAdvanced Functional Materials, EarlyView.
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa   +3 more
wiley   +1 more source

Hamiltonian tomography: the quantum (system) measurement problem

open access: yesNew Journal of Physics, 2015
To harness the power of controllable quantum systems for information processing or quantum simulation, it is essential to be able to accurately characterise the system's Hamiltonian.
Jared H Cole
doaj   +1 more source

Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
We provide a short introduction to the devising of a special type of methods for numerically approximating the solution of Hamiltonian partial differential equations.
Bernardo Cockburn   +2 more
doaj   +1 more source

Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems

open access: yes, 2020
When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum satisfies the ...
Mehrmann, Volker, Van Dooren, Paul
core   +1 more source

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