Results 21 to 30 of about 134,686 (230)

Analisys of Hamiltonian Boundary Value Methods (HBVMs): a class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems [PDF]

open access: yes, 2009
One main issue, when numerically integrating autonomous Hamiltonian systems, is the long-term conservation of some of its invariants, among which the Hamiltonian function itself.
Abramovitz   +21 more
core   +1 more source

A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation

open access: yesDiscrete Dynamics in Nature and Society, 2018
An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established.
Xi-Xiang Xu, Meng Xu
doaj   +1 more source

Structure Preserving Model Reduction of Parametric Hamiltonian Systems [PDF]

open access: yes, 2016
While reduced-order models (ROMs) have been popular for efficiently solving large systems of differential equations, the stability of reduced models over long-time integration is of present challenges.
Afkham, Babak Maboudi, Hesthaven, Jan S.
core   +2 more sources

Hamiltonian discretization of boundary control systems [PDF]

open access: yesAutomatica, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golo, G.   +3 more
openaire   +2 more sources

Bargmann Type Systems for the Generalization of Toda Lattices

open access: yesJournal of Applied Mathematics, 2014
Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of ...
Fang Li, Liping Lu
doaj   +1 more source

Energy-Preserving AVF Methods for Riesz Space-Fractional Nonlinear KGZ and KGS Equations

open access: yesFractal and Fractional, 2023
The Riesz space-fractional derivative is discretized by the Fourier pseudo-spectral (FPS) method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein–Gordon–Schrödinger (KGS) equations are transformed into two infinite-dimensional ...
Jianqiang Sun, Siqi Yang, Lijuan Zhang
doaj   +1 more source

Discrete-time port-Hamiltonian systems: A definition based on symplectic integration [PDF]

open access: yes, 2018
We introduce a new definition of discrete-time port-Hamiltonian systems (PHS), which results from structure-preserving discretization of explicit PHS in time.
Kotyczka, Paul, Lefèvre, Laurent
core   +4 more sources

Time-varying discrete Hamiltonian systems

open access: yesComputers & Mathematics with Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halanay, A., Ionescu, V.
openaire   +1 more source

Symmetry-protected exceptional and nodal points in non-Hermitian systems

open access: yesSciPost Physics, 2023
One of the unique features of non-Hermitian (NH) systems is the appearance of NH degeneracies known as exceptional points (EPs). The extensively studied defective EPs occur when the Hamiltonian becomes non-diagonalizable.
Sharareh Sayyad, Marcus Stålhammar, Lukas Rødland, Flore K. Kunst
doaj   +1 more source

Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems

open access: yesNonlinear Analysis
This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH).
Xiangyu Chen   +3 more
doaj   +1 more source

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