Results 11 to 20 of about 293,764 (287)

Linear port-Hamiltonian descriptor systems [PDF]

Mathematics of Control, Signals, and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beattie, Christopher, Mehrmann, Volker, Xu, Hongguo, Zwart, Hans   +3 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
openaire   +4 more sources

Index theory and multiple solutions for asymptotically linear second-order delay differential equations

Boundary Value Problems, 2023
This paper is concerned with the existence of periodic solutions for asymptotically linear second-order delay differential equations. We will establish an index theory for the linear system directly in the sense that we do not need to change the problem ...
Yuan Shan
doaj   +1 more source

On the Derivation of Multisymplectic Variational Integrators for Hyperbolic PDEs Using Exponential Functions

Applied Sciences, 2021
We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems.
Odysseas Kosmas, Pieter Boom, Andrey P. Jivkov   +2 more
doaj   +1 more source

On the Reducibility of Quasiperiodic Linear Hamiltonian Systems and Its Applications in Schrödinger Equation

Journal of Function Spaces, 2020
In this paper, we consider the reducibility of the quasiperiodic linear Hamiltonian system ẋ=A+εQt, where A is a constant matrix with possible multiple eigenvalues, Qt is analytic quasiperiodic with respect to t, and ε is a small parameter.
Nina Xue, Wencai Zhao
doaj   +1 more source

Antiprincipal solutions at infinity for symplectic systems on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Šepitka ...
Iva Drimalova, Roman Simon Hilscher
doaj   +1 more source

Special exceptional point acting as Dirac point in one dimensional -symmetric photonic crystal

New Journal of Physics, 2022
We reveal that a special exceptional point (EP) can act as a Dirac point in a one-dimensional $\mathcal{P}\mathcal{T}$ -symmetric photonic crystal and prove it in detail using our extended first-principle theory.
Tiecheng Wang
doaj   +1 more source

Canonical transformations of linear Hamiltonian systems [PDF]

E3S Web of Conferences
In this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
doaj   +1 more source

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

Moroccan Journal of Pure and Applied Analysis, 2021
The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
doaj   +1 more source

Input-output decoupling of Hamiltonian systems: The linear case [PDF]

, 1985
In this note we give necessary and sufficient conditions for a linear Hamiltonian system to be input-output decouplable by Hamiltonian feedback, i.e. feedback that preserves the Hamiltonian structure.
Nijmeijer, H.
core   +3 more sources