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Hamiltonian and Variational Linear Distributed Systems [PDF]

open access: yesMathematical and Computer Modelling of Dynamical Systems, 2002
We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown that a system described by ordinary linear constant-coefficient differential equations is Hamiltonian if and only if it is variational.
Rapisarda, Paolo, Trentelman, Harry L.
core   +14 more sources

Hamiltonian quantum simulation with bounded-strength controls [PDF]

open access: yesNew Journal of Physics, 2014
We propose dynamical control schemes for Hamiltonian simulation in many-body quantum systems that avoid instantaneous control operations and rely solely on realistic bounded-strength control Hamiltonians .
Adam D Bookatz   +2 more
doaj   +5 more sources

Linear Quantum Entropy and Non-Hermitian Hamiltonians

open access: yesEntropy, 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

Information Geometry of Complex Hamiltonians and Exceptional Points

open access: yesEntropy, 2013
Information geometry provides a tool to systematically investigate the parameter sensitivity of the state of a system. If a physical system is described by a linear combination of eigenstates of a complex (that is, non-Hermitian) Hamiltonian, then there ...
Dorje C. Brody, Eva-Maria Graefe
doaj   +5 more sources

On stability of motion of satellite [PDF]

open access: yesE3S 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

On stability of motion of unbalanced gyroscope [PDF]

open access: yesE3S Web of Conferences, 2023
In this paper we consider the stability of motion of an unbalanced gyroscope with a flexible shaft in gimbal suspension.Gyroscopes are used to control the stability of boom tower cranes.
Titova Tatiana
doaj   +1 more source

Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we study the existence of limit cycles in continuous and discontinuous planar piecewise linear Hamiltonian differential system with two or three zones separated by straight lines and such that the linear systems that define the piecewise ...
Claudio Pessoa, Ronisio Ribeiro
doaj   +1 more source

Discontinuous linear Hamiltonian systems

open access: yesFilomat, 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

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

Extending Complex Conjugate Control to Nonlinear Wave Energy Converters

open access: yesJournal of Marine Science and Engineering, 2020
This paper extends the concept of Complex Conjugate Control (CCC) of linear wave energy converters (WECs) to nonlinear WECs by designing optimal limit cycles with Hamiltonian Surface Shaping and Power Flow Control (HSSPFC).
David G. Wilson   +4 more
doaj   +1 more source

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