Results 1 to 10 of about 267,752 (279)

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

Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation [PDF]

Mathematical and Computer Modelling of Dynamical Systems, 2000
In this paper, we propose a constructive procedure to modify the Hamiltonian function of forced Hamiltonian systems with dissipation in order to generate Lyapunov functions for nonzero equilibria.
Maschke, Bernhard, Ortega, Romeo, Schaft, Arjan J. van der   +2 more
core   +13 more sources

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
doaj   +2 more sources

Dissipative Linear Stochastic Hamiltonian Systems [PDF]

2018 Australian & New Zealand Control Conference (ANZCC), 2018
This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stochastic differential equations whose structure is specified by a ...
Petersen, Ian R., Vladimirov, Igor G.
core   +2 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

Linear Quantum Entropy and Non-Hermitian Hamiltonians

Entropy, 2016
We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow
Alessandro Sergi, Paolo V. Giaquinta
doaj   +4 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