Results 1 to 10 of about 14,168 (160)

On Linear Hamiltonian Systems [PDF]

MATEC Web of Conferences, 2017
In this paper we consider the normalization of quadratic Hamiltonian. We get the new method to find the generating function of the canonical transformation. We obtain the solution of the system of matrix equations to find this transformation.
Titova Tatiana
doaj   +2 more sources

Intrinsic Quantization of Linear Hamiltonian Systems [PDF]

Entropy
This article discusses the quantization of linear Hamiltonian systems, a historically rich but under explored line of research. The key idea is that a classical linear Hamiltonian system induces on its phase space a compatible complex structure and ...
Luigi Accardi, Carlo Pandiscia
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Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization [PDF]

Scientific Reports
Hamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki, Katsuhiro Endo, Mayu Muramatsu   +2 more
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Linear Port-Hamiltonian Systems Are Generically Controllable [PDF]

IEEE Transactions on Automatic Control, 2022
The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems.
Jonas Kirchhoff
exaly   +3 more sources

Oscillation of linear Hamiltonian systems

Computers and Mathematics With Applications, 2002
The authors investigate oscillatory properties of the linear Hamiltonian system \[ x'=A(t)x+B(t)u,\quad u'=C(t)x-A^T(t)u, \tag{*} \] where \(A,B,C\) are \(n\times n\)-matrices with continuous entries for \(t\in [t_0,\infty)\), \(B,C\) are symmetric and the matrix \(B\) is supposed to be positive definite.
Meng, Fanwei, Sun, Yuangong
exaly   +3 more sources

Some Oscillation Results for Linear Hamiltonian Systems [PDF]

Journal of Applied Mathematics, 2012
The purpose of this paper is to develop a generalized matrix Riccati technique for the selfadjoint matrix Hamiltonian system U′=A(t)U+B(t)V, V′=C(t)U−A∗(t)V. By using the standard integral averaging technique and positive functionals, new oscillation and
Nan Wang, Fanwei Meng
doaj   +4 more sources

Reducible problem for a class of almost-periodic non-linear Hamiltonian systems [PDF]

Journal of Inequalities and Applications, 2018
This paper studies the reducibility of almost-periodic Hamiltonian systems with small perturbation near the equilibrium which is described by the following Hamiltonian system: dxdt=J[A+εQ(t,ε)]x+εg(t,ε)+h(x,t,ε).
Muhammad Afzal, Tariq Ismaeel, Muhammad Jamal   +2 more
doaj   +2 more sources

Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems [PDF]

Mathematica Bohemica, 2021
The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved.
Gevorg A. Grigorian
doaj   +1 more source

Discontinuous linear Hamiltonian systems

Filomat, 2022
We study a discontinuous linear Hamiltonian system. We obtain a result on the existence and uniqueness of solutions. Later, we introduce the corresponding maximal and minimal operators for this problem and the self-adjoint extensions of such a minimal operator are established. Finally, we obtain an eigenfunction expansion.
PAŞAOĞLU, Bilender, TUNA, HÜSEYİN
openaire   +3 more sources

On stability of motion of satellite [PDF]

E3S Web of Conferences, 2023
In this paper we consider the translational and rotational motion of satellites around the Earth. First, we study the motion of an arrow-type satellite. We consider the system of equations of motion in the first approximation.
Titova Tatiana
doaj   +1 more source